Greatest Common Factor of 2921/700, 3557/8623

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 2921/700, 3557/8623

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 2921/700,3557/8623

Given fractions are 2921/700,3557/8623

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 2921,3557

Greatest Common Factor of Numerators i.e. GCF of 2921,3557 is 1 .

LCM of Denominators means LCM of 700,8623 as per the given fractions.

LCM of 700,8623 is 6036100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2921,3557

GCF of Fractions 2921/700,3557/8623 is 1/6036100

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

Greatest Common Factor of 2921,3557 By Matching Biggest Common Factor Method

Greatest Common Factor of 2921,3557 By Matching Biggest Common Factor Method

Factors of 2921

List of positive integer factors of 2921 that divides 2921 without a remainder.

1,23,127,2921

Factors of 3557

List of positive integer factors of 3557 that divides 3557 without a remainder.

1,3557

Greatest Common Factor

We found the factors 2921,3557 . The biggest common factor number is the GCF number.
So the greatest common factor 2921,3557 is 1.


Lets's calculate LCM of 700,8623

Given numbers has no common factors except 1. So, there LCM is their product i.e 6036100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6036100

Therefore, the GCF of Fractions 2921/700,3557/8623 is 1/6036100

Least Common Multiple of 700,8623 with GCF Formula

Least Common Multiple of 700,8623 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 700,8623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(700,8623) = 1

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

GCF(700,8623) x common factors =1 x 1 = 1

LCM(700,8623) = ( 700 × 8623 ) / 1

LCM(700,8623) = 6036100 / 1

LCM(700,8623) = 6036100


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 2921/700, 3557/8623

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 2921/700, 3557/8623?

Answer: GCF of Numerators as per given numbers 2921/700, 3557/8623 is

GCF of Numerators i.e. for 2921,3557 is 1

LCM of denominators i.e. for 700,8623 is 6036100.

Thus, GCF of Fractions is 1/6036100.Finally, GCF of Fractions for 2921/700, 3557/8623 is 1/6036100.