Greatest Common Factor of 653/64, 784/8627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 653/64, 784/8627

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 653/64,784/8627

Given fractions are 653/64,784/8627

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 653,784

Greatest Common Factor of Numerators i.e. GCF of 653,784 is 1 .

LCM of Denominators means LCM of 64,8627 as per the given fractions.

LCM of 64,8627 is 552128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 653,784

GCF of Fractions 653/64,784/8627 is 1/552128

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 653,784 By Matching Biggest Common Factor Method

Greatest Common Factor of 653,784 By Matching Biggest Common Factor Method

Factors of 653

List of positive integer factors of 653 that divides 653 without a remainder.

1,653

Factors of 784

List of positive integer factors of 784 that divides 784 without a remainder.

1,2,4,7,8,14,16,28,49,56,98,112,196,392,784

Greatest Common Factor

We found the factors 653,784 . The biggest common factor number is the GCF number.
So the greatest common factor 653,784 is 1.

Lets's calculate LCM of 64,8627

Given numbers has no common factors except 1. So, there LCM is their product i.e 552128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/552128

Therefore, the GCF of Fractions 653/64,784/8627 is 1/552128

Least Common Multiple of 64,8627 with GCF Formula

Least Common Multiple of 64,8627 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 64,8627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,8627) = 1

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

GCF(64,8627) x common factors =1 x 1 = 1

LCM(64,8627) = ( 64 × 8627 ) / 1

LCM(64,8627) = 552128 / 1

LCM(64,8627) = 552128


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 653/64, 784/8627

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 653/64, 784/8627?

Answer: GCF of Numerators as per given numbers 653/64, 784/8627 is

GCF of Numerators i.e. for 653,784 is 1

LCM of denominators i.e. for 64,8627 is 552128.

Thus, GCF of Fractions is 1/552128.Finally, GCF of Fractions for 653/64, 784/8627 is 1/552128.