Greatest Common Factor of 1456/897, 7464/8600

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1456/897, 7464/8600

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 1456/897,7464/8600

Given fractions are 1456/897,7464/8600

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 1456,7464

Greatest Common Factor of Numerators i.e. GCF of 1456,7464 is 8 .

LCM of Denominators means LCM of 897,8600 as per the given fractions.

LCM of 897,8600 is 7714200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1456,7464

GCF of Fractions 1456/897,7464/8600 is 8/7714200

2 1456, 7464
2 728, 3732
2 364, 1866
182, 933

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1456,7464 By Matching Biggest Common Factor Method

Greatest Common Factor of 1456,7464 By Matching Biggest Common Factor Method

Factors of 1456

List of positive integer factors of 1456 that divides 1456 without a remainder.

1,2,4,7,8,13,14,16,26,28,52,56,91,104,112,182,208,364,728,1456

Factors of 7464

List of positive integer factors of 7464 that divides 7464 without a remainder.

1,2,3,4,6,8,12,24,311,622,933,1244,1866,2488,3732,7464

Greatest Common Factor

We found the factors 1456,7464 . The biggest common factor number is the GCF number.
So the greatest common factor 1456,7464 is 8.

Lets's calculate LCM of 897,8600

Given numbers has no common factors except 1. So, there LCM is their product i.e 7714200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/7714200

Therefore, the GCF of Fractions 1456/897,7464/8600 is 8/7714200

Least Common Multiple of 897,8600 with GCF Formula

Least Common Multiple of 897,8600 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 897,8600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,8600) = 1

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

GCF(897,8600) x common factors =1 x 1 = 1

LCM(897,8600) = ( 897 × 8600 ) / 1

LCM(897,8600) = 7714200 / 1

LCM(897,8600) = 7714200


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 1456/897, 7464/8600

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 1456/897, 7464/8600?

Answer: GCF of Numerators as per given numbers 1456/897, 7464/8600 is

GCF of Numerators i.e. for 1456,7464 is 8

LCM of denominators i.e. for 897,8600 is 7714200.

Thus, GCF of Fractions is 8/7714200.Finally, GCF of Fractions for 1456/897, 7464/8600 is 8/7714200.