Greatest Common Factor of 2965/509, 2664/8773

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2965/509, 2664/8773

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 2965/509,2664/8773

Given fractions are 2965/509,2664/8773

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 2965,2664

Greatest Common Factor of Numerators i.e. GCF of 2965,2664 is 1 .

LCM of Denominators means LCM of 509,8773 as per the given fractions.

LCM of 509,8773 is 4465457 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2965,2664

GCF of Fractions 2965/509,2664/8773 is 1/4465457

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

Greatest Common Factor of 2965,2664 By Matching Biggest Common Factor Method

Greatest Common Factor of 2965,2664 By Matching Biggest Common Factor Method

Factors of 2965

List of positive integer factors of 2965 that divides 2965 without a remainder.

1,5,593,2965

Factors of 2664

List of positive integer factors of 2664 that divides 2664 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,37,72,74,111,148,222,296,333,444,666,888,1332,2664

Greatest Common Factor

We found the factors 2965,2664 . The biggest common factor number is the GCF number.
So the greatest common factor 2965,2664 is 1.

Lets's calculate LCM of 509,8773

Given numbers has no common factors except 1. So, there LCM is their product i.e 4465457

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4465457

Therefore, the GCF of Fractions 2965/509,2664/8773 is 1/4465457

Least Common Multiple of 509,8773 with GCF Formula

Least Common Multiple of 509,8773 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 509,8773 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(509,8773) = 1

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

GCF(509,8773) x common factors =1 x 1 = 1

LCM(509,8773) = ( 509 × 8773 ) / 1

LCM(509,8773) = 4465457 / 1

LCM(509,8773) = 4465457


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 2965/509, 2664/8773

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 2965/509, 2664/8773?

Answer: GCF of Numerators as per given numbers 2965/509, 2664/8773 is

GCF of Numerators i.e. for 2965,2664 is 1

LCM of denominators i.e. for 509,8773 is 4465457.

Thus, GCF of Fractions is 1/4465457.Finally, GCF of Fractions for 2965/509, 2664/8773 is 1/4465457.