Greatest Common Factor of 928/462, 2871/5610

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 928/462, 2871/5610

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 928/462,2871/5610

Given fractions are 928/462,2871/5610

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 928,2871

Greatest Common Factor of Numerators i.e. GCF of 928,2871 is 29 .

LCM of Denominators means LCM of 462,5610 as per the given fractions.

LCM of 462,5610 is 39270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 928,2871

GCF of Fractions 928/462,2871/5610 is 29/39270

29 928, 2871
32, 99

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 928,2871 By Matching Biggest Common Factor Method

Greatest Common Factor of 928,2871 By Matching Biggest Common Factor Method

Factors of 928

List of positive integer factors of 928 that divides 928 without a remainder.

1,2,4,8,16,29,32,58,116,232,464,928

Factors of 2871

List of positive integer factors of 2871 that divides 2871 without a remainder.

1,3,9,11,29,33,87,99,261,319,957,2871

Greatest Common Factor

We found the factors 928,2871 . The biggest common factor number is the GCF number.
So the greatest common factor 928,2871 is 29.

Lets's calculate LCM of 462,5610

2 462, 5610
3 231, 2805
11 77, 935
7, 85

∴ So the LCM of the given numbers is 2 x 3 x 11 x 7 x 85 = 39270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/39270

Therefore, the GCF of Fractions 928/462,2871/5610 is 29/39270

Least Common Multiple of 462,5610 with GCF Formula

Least Common Multiple of 462,5610 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 462,5610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(462,5610) = 66

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

GCF(462,5610) x common factors =66 x 1 = 66

LCM(462,5610) = ( 462 × 5610 ) / 66

LCM(462,5610) = 2591820 / 66

LCM(462,5610) = 39270


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 928/462, 2871/5610

1. 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.

2. What is the GCF of Fractions for 928/462, 2871/5610?

Answer: GCF of Numerators as per given numbers 928/462, 2871/5610 is

GCF of Numerators i.e. for 928,2871 is 29

LCM of denominators i.e. for 462,5610 is 39270.

Thus, GCF of Fractions is 29/39270.Finally, GCF of Fractions for 928/462, 2871/5610 is 29/39270.