Greatest Common Factor of 752/25, 414/5070

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 752/25, 414/5070

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 752/25,414/5070

Given fractions are 752/25,414/5070

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 752,414

Greatest Common Factor of Numerators i.e. GCF of 752,414 is 2 .

LCM of Denominators means LCM of 25,5070 as per the given fractions.

LCM of 25,5070 is 25350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 752,414

GCF of Fractions 752/25,414/5070 is 2/25350

2 752, 414
376, 207

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

Greatest Common Factor of 752,414 By Matching Biggest Common Factor Method

Greatest Common Factor of 752,414 By Matching Biggest Common Factor Method

Factors of 752

List of positive integer factors of 752 that divides 752 without a remainder.

1,2,4,8,16,47,94,188,376,752

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Greatest Common Factor

We found the factors 752,414 . The biggest common factor number is the GCF number.
So the greatest common factor 752,414 is 2.

Lets's calculate LCM of 25,5070

5 25, 5070
5, 1014

∴ So the LCM of the given numbers is 5 x 5 x 1014 = 25350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25350

Therefore, the GCF of Fractions 752/25,414/5070 is 2/25350

Least Common Multiple of 25,5070 with GCF Formula

Least Common Multiple of 25,5070 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 25,5070 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,5070) = 5

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

GCF(25,5070) x common factors =5 x 1 = 5

LCM(25,5070) = ( 25 × 5070 ) / 5

LCM(25,5070) = 126750 / 5

LCM(25,5070) = 25350


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 752/25, 414/5070

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 752/25, 414/5070?

Answer: GCF of Numerators as per given numbers 752/25, 414/5070 is

GCF of Numerators i.e. for 752,414 is 2

LCM of denominators i.e. for 25,5070 is 25350.

Thus, GCF of Fractions is 2/25350.Finally, GCF of Fractions for 752/25, 414/5070 is 2/25350.