Greatest Common Factor of 856/653, 9459/8449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 856/653, 9459/8449

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 856/653,9459/8449

Given fractions are 856/653,9459/8449

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 856,9459

Greatest Common Factor of Numerators i.e. GCF of 856,9459 is 1 .

LCM of Denominators means LCM of 653,8449 as per the given fractions.

LCM of 653,8449 is 5517197 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 856,9459

GCF of Fractions 856/653,9459/8449 is 1/5517197

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

Greatest Common Factor of 856,9459 By Matching Biggest Common Factor Method

Greatest Common Factor of 856,9459 By Matching Biggest Common Factor Method

Factors of 856

List of positive integer factors of 856 that divides 856 without a remainder.

1,2,4,8,107,214,428,856

Factors of 9459

List of positive integer factors of 9459 that divides 9459 without a remainder.

1,3,9,1051,3153,9459

Greatest Common Factor

We found the factors 856,9459 . The biggest common factor number is the GCF number.
So the greatest common factor 856,9459 is 1.

Lets's calculate LCM of 653,8449

Given numbers has no common factors except 1. So, there LCM is their product i.e 5517197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5517197

Therefore, the GCF of Fractions 856/653,9459/8449 is 1/5517197

Least Common Multiple of 653,8449 with GCF Formula

Least Common Multiple of 653,8449 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 653,8449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(653,8449) = 1

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

GCF(653,8449) x common factors =1 x 1 = 1

LCM(653,8449) = ( 653 × 8449 ) / 1

LCM(653,8449) = 5517197 / 1

LCM(653,8449) = 5517197


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 856/653, 9459/8449

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 856/653, 9459/8449?

Answer: GCF of Numerators as per given numbers 856/653, 9459/8449 is

GCF of Numerators i.e. for 856,9459 is 1

LCM of denominators i.e. for 653,8449 is 5517197.

Thus, GCF of Fractions is 1/5517197.Finally, GCF of Fractions for 856/653, 9459/8449 is 1/5517197.