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 470/69, 520/611

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 470/69, 520/611 i.e 10/42159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 470/69, 520/611.

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 470/69,520/611?

Given fractions are 470/69,520/611

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 470/69,520/611, numerators are 470,520

Denominators are 69,611

The GCF of 470,520 is 10 .

LCM of 69,611 is 42159.

The greatest common factor of 470/69,520/611 = [GCF of 470,520]/[LCM of 69,611]= 10/42159

Therefore, the GCF of 470/69,520/611 is 10/42159.

Greatest Common Factor of 470,520

To find the highest common factor of 470,520, we have to find the factors of both numbers and list the highest common factor.

The factors of 470 are 1, 2, 5, 10, 47, 94, 235, 470

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

The HCF of 470,520 is 10.

Lets's calculate GCF of 470,520

Greatest Common Factor (GCF) of 470,520 By Common Division

2 470, 520
5 235, 260
47, 52

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

Greatest Common Factor of 470,520 By Matching Biggest Common Factor Method

Greatest Common Factor of 470,520 By Matching Biggest Common Factor Method

Now, list down the factors of 470

:

1,2,5,10,47,94,235,470

Now, list down the factors of 520

:

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

Greatest Common Factor

We found the factors 470,520 . The biggest common factor number is the GCF number.
So the greatest common factor 470,520 is 10.

Lets's calculate LCM of 69,611

Lowest Common Multiple of 69,611 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 42159

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/42159

Therefore, the GCF of Fractions 470/69,520/611 is 10/42159

Least Common Multiple of 69,611 with GCF Formula

Least Common Multiple of 69,611 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 69,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,611) = 1

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

GCF(69,611) x common factors =1 x 1 = 1

LCM(69,611) = ( 69 × 611 ) / 1

LCM(69,611) = 42159 / 1

LCM(69,611) = 42159


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 470/69, 520/611

1. What is the HCF of 470,520?

The HCF of 470,520 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 470/69, 520/611?

Answer: GCF of Numerators as per given numbers 470/69, 520/611 is

GCF of Numerators i.e. for 470,520 is 10

LCM of denominators i.e. for 69,611 is 42159.

Thus, GCF of Fractions is 10/42159.Finally, GCF of Fractions for 470/69, 520/611 is 10/42159.