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 874/58, 210/389

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 874/58, 210/389 i.e 2/22562 easily. The following is the detailed procedure to determine the greatest common factor of fractions 874/58, 210/389.

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 874/58,210/389?

Given fractions are 874/58,210/389

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 874/58,210/389, numerators are 874,210

Denominators are 58,389

The GCF of 874,210 is 2 .

LCM of 58,389 is 22562.

The greatest common factor of 874/58,210/389 = [GCF of 874,210]/[LCM of 58,389]= 2/22562

Therefore, the GCF of 874/58,210/389 is 2/22562.

Greatest Common Factor of 874,210

To find the highest common factor of 874,210, we have to find the factors of both numbers and list the highest common factor.

The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874

The factors of 210 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

The HCF of 874,210 is 2.

Lets's calculate GCF of 874,210

Greatest Common Factor (GCF) of 874,210 By Common Division

2 874, 210
437, 105

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 874,210 By Matching Biggest Common Factor Method

Greatest Common Factor of 874,210 By Matching Biggest Common Factor Method

Now, list down the factors of 874

:

1,2,19,23,38,46,437,874

Now, list down the factors of 210

:

1,2,3,5,6,7,10,14,15,21,30,35,42,70,105,210

Greatest Common Factor

We found the factors 874,210 . The biggest common factor number is the GCF number.
So the greatest common factor 874,210 is 2.

Lets's calculate LCM of 58,389

Lowest Common Multiple of 58,389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 22562

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/22562

Therefore, the GCF of Fractions 874/58,210/389 is 2/22562

Least Common Multiple of 58,389 with GCF Formula

Least Common Multiple of 58,389 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 58,389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,389) = 1

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

GCF(58,389) x common factors =1 x 1 = 1

LCM(58,389) = ( 58 × 389 ) / 1

LCM(58,389) = 22562 / 1

LCM(58,389) = 22562


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 874/58, 210/389

1. What is the HCF of 874,210?

The HCF of 874,210 is 2

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 874/58, 210/389?

Answer: GCF of Numerators as per given numbers 874/58, 210/389 is

GCF of Numerators i.e. for 874,210 is 2

LCM of denominators i.e. for 58,389 is 22562.

Thus, GCF of Fractions is 2/22562.Finally, GCF of Fractions for 874/58, 210/389 is 2/22562.