Greatest Common Factor of 754/70, 252/2914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/70, 252/2914

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 754/70,252/2914

Given fractions are 754/70,252/2914

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 754,252

Greatest Common Factor of Numerators i.e. GCF of 754,252 is 2 .

LCM of Denominators means LCM of 70,2914 as per the given fractions.

LCM of 70,2914 is 101990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,252

GCF of Fractions 754/70,252/2914 is 2/101990

2 754, 252
377, 126

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

Greatest Common Factor of 754,252 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,252 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Greatest Common Factor

We found the factors 754,252 . The biggest common factor number is the GCF number.
So the greatest common factor 754,252 is 2.

Lets's calculate LCM of 70,2914

2 70, 2914
35, 1457

∴ So the LCM of the given numbers is 2 x 35 x 1457 = 101990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/101990

Therefore, the GCF of Fractions 754/70,252/2914 is 2/101990

Least Common Multiple of 70,2914 with GCF Formula

Least Common Multiple of 70,2914 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 70,2914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(70,2914) = 2

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

GCF(70,2914) x common factors =2 x 1 = 2

LCM(70,2914) = ( 70 × 2914 ) / 2

LCM(70,2914) = 203980 / 2

LCM(70,2914) = 101990


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 754/70, 252/2914

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 754/70, 252/2914?

Answer: GCF of Numerators as per given numbers 754/70, 252/2914 is

GCF of Numerators i.e. for 754,252 is 2

LCM of denominators i.e. for 70,2914 is 101990.

Thus, GCF of Fractions is 2/101990.Finally, GCF of Fractions for 754/70, 252/2914 is 2/101990.