Greatest Common Factor of 9874/775, 5494/625

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9874/775, 5494/625

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 9874/775,5494/625

Given fractions are 9874/775,5494/625

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 9874,5494

Greatest Common Factor of Numerators i.e. GCF of 9874,5494 is 2 .

LCM of Denominators means LCM of 775,625 as per the given fractions.

LCM of 775,625 is 19375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9874,5494

GCF of Fractions 9874/775,5494/625 is 2/19375

2 9874, 5494
4937, 2747

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

Greatest Common Factor of 9874,5494 By Matching Biggest Common Factor Method

Greatest Common Factor of 9874,5494 By Matching Biggest Common Factor Method

Factors of 9874

List of positive integer factors of 9874 that divides 9874 without a remainder.

1,2,4937,9874

Factors of 5494

List of positive integer factors of 5494 that divides 5494 without a remainder.

1,2,41,67,82,134,2747,5494

Greatest Common Factor

We found the factors 9874,5494 . The biggest common factor number is the GCF number.
So the greatest common factor 9874,5494 is 2.

Lets's calculate LCM of 775,625

5 775, 625
5 155, 125
31, 25

∴ So the LCM of the given numbers is 5 x 5 x 31 x 25 = 19375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19375

Therefore, the GCF of Fractions 9874/775,5494/625 is 2/19375

Least Common Multiple of 775,625 with GCF Formula

Least Common Multiple of 775,625 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 775,625 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(775,625) = 25

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

GCF(775,625) x common factors =25 x 1 = 25

LCM(775,625) = ( 775 × 625 ) / 25

LCM(775,625) = 484375 / 25

LCM(775,625) = 19375


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 9874/775, 5494/625

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 9874/775, 5494/625?

Answer: GCF of Numerators as per given numbers 9874/775, 5494/625 is

GCF of Numerators i.e. for 9874,5494 is 2

LCM of denominators i.e. for 775,625 is 19375.

Thus, GCF of Fractions is 2/19375.Finally, GCF of Fractions for 9874/775, 5494/625 is 2/19375.