Greatest Common Factor of 6457/889, 5148/2800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6457/889, 5148/2800

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 6457/889,5148/2800

Given fractions are 6457/889,5148/2800

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 6457,5148

Greatest Common Factor of Numerators i.e. GCF of 6457,5148 is 11 .

LCM of Denominators means LCM of 889,2800 as per the given fractions.

LCM of 889,2800 is 355600 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6457,5148

GCF of Fractions 6457/889,5148/2800 is 11/355600

11 6457, 5148
587, 468

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 6457,5148 By Matching Biggest Common Factor Method

Greatest Common Factor of 6457,5148 By Matching Biggest Common Factor Method

Factors of 6457

List of positive integer factors of 6457 that divides 6457 without a remainder.

1,11,587,6457

Factors of 5148

List of positive integer factors of 5148 that divides 5148 without a remainder.

1,2,3,4,6,9,11,12,13,18,22,26,33,36,39,44,52,66,78,99,117,132,143,156,198,234,286,396,429,468,572,858,1287,1716,2574,5148

Greatest Common Factor

We found the factors 6457,5148 . The biggest common factor number is the GCF number.
So the greatest common factor 6457,5148 is 11.

Lets's calculate LCM of 889,2800

7 889, 2800
127, 400

∴ So the LCM of the given numbers is 7 x 127 x 400 = 355600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/355600

Therefore, the GCF of Fractions 6457/889,5148/2800 is 11/355600

Least Common Multiple of 889,2800 with GCF Formula

Least Common Multiple of 889,2800 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 889,2800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(889,2800) = 7

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

GCF(889,2800) x common factors =7 x 1 = 7

LCM(889,2800) = ( 889 × 2800 ) / 7

LCM(889,2800) = 2489200 / 7

LCM(889,2800) = 355600


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 6457/889, 5148/2800

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 6457/889, 5148/2800?

Answer: GCF of Numerators as per given numbers 6457/889, 5148/2800 is

GCF of Numerators i.e. for 6457,5148 is 11

LCM of denominators i.e. for 889,2800 is 355600.

Thus, GCF of Fractions is 11/355600.Finally, GCF of Fractions for 6457/889, 5148/2800 is 11/355600.