LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 520/21, 850/254

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 520/21, 850/254 i.e 10/5334 easily. The following is the detailed procedure to determine the greatest common factor of fractions 520/21, 850/254.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 520/21,850/254?

Given fractions are 520/21,850/254

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 520/21,850/254, numerators are 520,850

Denominators are 21,254

The GCF of 520,850 is 10 .

LCM of 21,254 is 5334.

The greatest common factor of 520/21,850/254 = [GCF of 520,850]/[LCM of 21,254]= 10/5334

Therefore, the GCF of 520/21,850/254 is 10/5334.

Greatest Common Factor of 520,850

To find the highest common factor of 520,850, we have to find the factors of both numbers and list the highest common factor.

The factors of 520 are 1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

The factors of 850 are 1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

The HCF of 520,850 is 10.

Lets's calculate GCF of 520,850

Greatest Common Factor (GCF) of 520,850 By Common Division

2 520, 850
5 260, 425
52, 85

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 520,850 By Matching Biggest Common Factor Method

Greatest Common Factor of 520,850 By Matching Biggest Common Factor Method

Now, list down the factors of 520

:

1,2,4,5,8,10,13,20,26,40,52,65,104,130,260,520

Now, list down the factors of 850

:

1,2,5,10,17,25,34,50,85,170,425,850

Greatest Common Factor

We found the factors 520,850 . The biggest common factor number is the GCF number.
So the greatest common factor 520,850 is 10.

Lets's calculate LCM of 21,254

Lowest Common Multiple of 21,254 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5334

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/5334

Therefore, the GCF of Fractions 520/21,850/254 is 10/5334

Least Common Multiple of 21,254 with GCF Formula

Least Common Multiple of 21,254 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 21,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,254) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(21,254) x common factors =1 x 1 = 1

LCM(21,254) = ( 21 × 254 ) / 1

LCM(21,254) = 5334 / 1

LCM(21,254) = 5334


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 520/21, 850/254

1. What is the HCF of 520,850?

The HCF of 520,850 is 10

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 520/21, 850/254?

Answer: GCF of Numerators as per given numbers 520/21, 850/254 is

GCF of Numerators i.e. for 520,850 is 10

LCM of denominators i.e. for 21,254 is 5334.

Thus, GCF of Fractions is 10/5334.Finally, GCF of Fractions for 520/21, 850/254 is 10/5334.