Greatest Common Factor of 710/948, 3872/594

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/948, 3872/594

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 710/948,3872/594

Given fractions are 710/948,3872/594

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 710,3872

Greatest Common Factor of Numerators i.e. GCF of 710,3872 is 2 .

LCM of Denominators means LCM of 948,594 as per the given fractions.

LCM of 948,594 is 93852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,3872

GCF of Fractions 710/948,3872/594 is 2/93852

2 710, 3872
355, 1936

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

Greatest Common Factor of 710,3872 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,3872 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 3872

List of positive integer factors of 3872 that divides 3872 without a remainder.

1,2,4,8,11,16,22,32,44,88,121,176,242,352,484,968,1936,3872

Greatest Common Factor

We found the factors 710,3872 . The biggest common factor number is the GCF number.
So the greatest common factor 710,3872 is 2.

Lets's calculate LCM of 948,594

2 948, 594
3 474, 297
158, 99

∴ So the LCM of the given numbers is 2 x 3 x 158 x 99 = 93852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/93852

Therefore, the GCF of Fractions 710/948,3872/594 is 2/93852

Least Common Multiple of 948,594 with GCF Formula

Least Common Multiple of 948,594 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 948,594 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(948,594) = 6

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

GCF(948,594) x common factors =6 x 1 = 6

LCM(948,594) = ( 948 × 594 ) / 6

LCM(948,594) = 563112 / 6

LCM(948,594) = 93852


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 710/948, 3872/594

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 710/948, 3872/594?

Answer: GCF of Numerators as per given numbers 710/948, 3872/594 is

GCF of Numerators i.e. for 710,3872 is 2

LCM of denominators i.e. for 948,594 is 93852.

Thus, GCF of Fractions is 2/93852.Finally, GCF of Fractions for 710/948, 3872/594 is 2/93852.