Greatest Common Factor of 714/561, 1596/175

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 714/561, 1596/175

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 714/561,1596/175

Given fractions are 714/561,1596/175

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 714,1596

Greatest Common Factor of Numerators i.e. GCF of 714,1596 is 42 .

LCM of Denominators means LCM of 561,175 as per the given fractions.

LCM of 561,175 is 98175 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 714,1596

GCF of Fractions 714/561,1596/175 is 42/98175

2 714, 1596
3 357, 798
7 119, 266
17, 38

∴ So the GCF of the given numbers is 2 x 3 x 7 = 42

Greatest Common Factor of 714,1596 By Matching Biggest Common Factor Method

Greatest Common Factor of 714,1596 By Matching Biggest Common Factor Method

Factors of 714

List of positive integer factors of 714 that divides 714 without a remainder.

1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714

Factors of 1596

List of positive integer factors of 1596 that divides 1596 without a remainder.

1,2,3,4,6,7,12,14,19,21,28,38,42,57,76,84,114,133,228,266,399,532,798,1596

Greatest Common Factor

We found the factors 714,1596 . The biggest common factor number is the GCF number.
So the greatest common factor 714,1596 is 42.

Lets's calculate LCM of 561,175

Given numbers has no common factors except 1. So, there LCM is their product i.e 98175

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 42/98175

Therefore, the GCF of Fractions 714/561,1596/175 is 42/98175

Least Common Multiple of 561,175 with GCF Formula

Least Common Multiple of 561,175 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 561,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(561,175) = 1

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

GCF(561,175) x common factors =1 x 1 = 1

LCM(561,175) = ( 561 × 175 ) / 1

LCM(561,175) = 98175 / 1

LCM(561,175) = 98175


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 714/561, 1596/175

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 714/561, 1596/175?

Answer: GCF of Numerators as per given numbers 714/561, 1596/175 is

GCF of Numerators i.e. for 714,1596 is 42

LCM of denominators i.e. for 561,175 is 98175.

Thus, GCF of Fractions is 42/98175.Finally, GCF of Fractions for 714/561, 1596/175 is 42/98175.