Greatest Common Factor of 5311/665, 3684/770

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5311/665, 3684/770

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 5311/665,3684/770

Given fractions are 5311/665,3684/770

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 5311,3684

Greatest Common Factor of Numerators i.e. GCF of 5311,3684 is 1 .

LCM of Denominators means LCM of 665,770 as per the given fractions.

LCM of 665,770 is 14630 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5311,3684

GCF of Fractions 5311/665,3684/770 is 1/14630

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

Greatest Common Factor of 5311,3684 By Matching Biggest Common Factor Method

Greatest Common Factor of 5311,3684 By Matching Biggest Common Factor Method

Factors of 5311

List of positive integer factors of 5311 that divides 5311 without a remainder.

1,47,113,5311

Factors of 3684

List of positive integer factors of 3684 that divides 3684 without a remainder.

1,2,3,4,6,12,307,614,921,1228,1842,3684

Greatest Common Factor

We found the factors 5311,3684 . The biggest common factor number is the GCF number.
So the greatest common factor 5311,3684 is 1.

Lets's calculate LCM of 665,770

5 665, 770
7 133, 154
19, 22

∴ So the LCM of the given numbers is 5 x 7 x 19 x 22 = 14630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14630

Therefore, the GCF of Fractions 5311/665,3684/770 is 1/14630

Least Common Multiple of 665,770 with GCF Formula

Least Common Multiple of 665,770 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 665,770 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(665,770) = 35

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

GCF(665,770) x common factors =35 x 1 = 35

LCM(665,770) = ( 665 × 770 ) / 35

LCM(665,770) = 512050 / 35

LCM(665,770) = 14630


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 5311/665, 3684/770

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 5311/665, 3684/770?

Answer: GCF of Numerators as per given numbers 5311/665, 3684/770 is

GCF of Numerators i.e. for 5311,3684 is 1

LCM of denominators i.e. for 665,770 is 14630.

Thus, GCF of Fractions is 1/14630.Finally, GCF of Fractions for 5311/665, 3684/770 is 1/14630.