Greatest Common Factor of 9754/117, 5894/6448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9754/117, 5894/6448

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 9754/117,5894/6448

Given fractions are 9754/117,5894/6448

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 9754,5894

Greatest Common Factor of Numerators i.e. GCF of 9754,5894 is 2 .

LCM of Denominators means LCM of 117,6448 as per the given fractions.

LCM of 117,6448 is 58032 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9754,5894

GCF of Fractions 9754/117,5894/6448 is 2/58032

2 9754, 5894
4877, 2947

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

Greatest Common Factor of 9754,5894 By Matching Biggest Common Factor Method

Greatest Common Factor of 9754,5894 By Matching Biggest Common Factor Method

Factors of 9754

List of positive integer factors of 9754 that divides 9754 without a remainder.

1,2,4877,9754

Factors of 5894

List of positive integer factors of 5894 that divides 5894 without a remainder.

1,2,7,14,421,842,2947,5894

Greatest Common Factor

We found the factors 9754,5894 . The biggest common factor number is the GCF number.
So the greatest common factor 9754,5894 is 2.

Lets's calculate LCM of 117,6448

13 117, 6448
9, 496

∴ So the LCM of the given numbers is 13 x 9 x 496 = 58032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/58032

Therefore, the GCF of Fractions 9754/117,5894/6448 is 2/58032

Least Common Multiple of 117,6448 with GCF Formula

Least Common Multiple of 117,6448 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 117,6448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(117,6448) = 13

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

GCF(117,6448) x common factors =13 x 1 = 13

LCM(117,6448) = ( 117 × 6448 ) / 13

LCM(117,6448) = 754416 / 13

LCM(117,6448) = 58032


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 9754/117, 5894/6448

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 9754/117, 5894/6448?

Answer: GCF of Numerators as per given numbers 9754/117, 5894/6448 is

GCF of Numerators i.e. for 9754,5894 is 2

LCM of denominators i.e. for 117,6448 is 58032.

Thus, GCF of Fractions is 2/58032.Finally, GCF of Fractions for 9754/117, 5894/6448 is 2/58032.