Greatest Common Factor of 2215/924, 7445/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2215/924, 7445/953

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 2215/924,7445/953

Given fractions are 2215/924,7445/953

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 2215,7445

Greatest Common Factor of Numerators i.e. GCF of 2215,7445 is 5 .

LCM of Denominators means LCM of 924,953 as per the given fractions.

LCM of 924,953 is 880572 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2215,7445

GCF of Fractions 2215/924,7445/953 is 5/880572

5 2215, 7445
443, 1489

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2215,7445 By Matching Biggest Common Factor Method

Greatest Common Factor of 2215,7445 By Matching Biggest Common Factor Method

Factors of 2215

List of positive integer factors of 2215 that divides 2215 without a remainder.

1,5,443,2215

Factors of 7445

List of positive integer factors of 7445 that divides 7445 without a remainder.

1,5,1489,7445

Greatest Common Factor

We found the factors 2215,7445 . The biggest common factor number is the GCF number.
So the greatest common factor 2215,7445 is 5.

Lets's calculate LCM of 924,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 880572

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/880572

Therefore, the GCF of Fractions 2215/924,7445/953 is 5/880572

Least Common Multiple of 924,953 with GCF Formula

Least Common Multiple of 924,953 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 924,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(924,953) = 1

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

GCF(924,953) x common factors =1 x 1 = 1

LCM(924,953) = ( 924 × 953 ) / 1

LCM(924,953) = 880572 / 1

LCM(924,953) = 880572


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 2215/924, 7445/953

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 2215/924, 7445/953?

Answer: GCF of Numerators as per given numbers 2215/924, 7445/953 is

GCF of Numerators i.e. for 2215,7445 is 5

LCM of denominators i.e. for 924,953 is 880572.

Thus, GCF of Fractions is 5/880572.Finally, GCF of Fractions for 2215/924, 7445/953 is 5/880572.