Greatest Common Factor of 3177/915, 4617/964

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3177/915, 4617/964

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 3177/915,4617/964

Given fractions are 3177/915,4617/964

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 3177,4617

Greatest Common Factor of Numerators i.e. GCF of 3177,4617 is 9 .

LCM of Denominators means LCM of 915,964 as per the given fractions.

LCM of 915,964 is 882060 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3177,4617

GCF of Fractions 3177/915,4617/964 is 9/882060

3 3177, 4617
3 1059, 1539
353, 513

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 3177,4617 By Matching Biggest Common Factor Method

Greatest Common Factor of 3177,4617 By Matching Biggest Common Factor Method

Factors of 3177

List of positive integer factors of 3177 that divides 3177 without a remainder.

1,3,9,353,1059,3177

Factors of 4617

List of positive integer factors of 4617 that divides 4617 without a remainder.

1,3,9,19,27,57,81,171,243,513,1539,4617

Greatest Common Factor

We found the factors 3177,4617 . The biggest common factor number is the GCF number.
So the greatest common factor 3177,4617 is 9.

Lets's calculate LCM of 915,964

Given numbers has no common factors except 1. So, there LCM is their product i.e 882060

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/882060

Therefore, the GCF of Fractions 3177/915,4617/964 is 9/882060

Least Common Multiple of 915,964 with GCF Formula

Least Common Multiple of 915,964 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 915,964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(915,964) = 1

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

GCF(915,964) x common factors =1 x 1 = 1

LCM(915,964) = ( 915 × 964 ) / 1

LCM(915,964) = 882060 / 1

LCM(915,964) = 882060


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 3177/915, 4617/964

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 3177/915, 4617/964?

Answer: GCF of Numerators as per given numbers 3177/915, 4617/964 is

GCF of Numerators i.e. for 3177,4617 is 9

LCM of denominators i.e. for 915,964 is 882060.

Thus, GCF of Fractions is 9/882060.Finally, GCF of Fractions for 3177/915, 4617/964 is 9/882060.