Greatest Common Factor of 77/65, 350/13, 875/669

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 77/65, 350/13, 875/669

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 77/65,350/13,875/669

Given fractions are 77/65,350/13,875/669

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 77,350,875

Greatest Common Factor of Numerators i.e. GCF of 77,350,875 is 7 .

LCM of Denominators means LCM of 65,13,669 as per the given fractions.

LCM of 65,13,669 is 43485 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 77,350,875

GCF of Fractions 77/65,350/13,875/669 is 7/43485

7 77, 350, 875
11, 50, 125

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 77,350,875 By Matching Biggest Common Factor Method

Greatest Common Factor of 77,350,875 By Matching Biggest Common Factor Method

Factors of 77

List of positive integer factors of 77 that divides 77 without a remainder.

1,7,11,77

Factors of 350

List of positive integer factors of 350 that divides 350 without a remainder.

1,2,5,7,10,14,25,35,50,70,175,350

Factors of 875

List of positive integer factors of 875 that divides 875 without a remainder.

1,5,7,25,35,125,175,875

Greatest Common Factor

We found the factors 77,350,875 . The biggest common factor number is the GCF number.
So the greatest common factor 77,350,875 is 7.

Lets's calculate LCM of 65,13,669

13 65, 13, 669
5, 1, 669

∴ So the LCM of the given numbers is 13 x 5 x 1 x 669 = 43485

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/43485

Therefore, the GCF of Fractions 77/65,350/13,875/669 is 7/43485

Least Common Multiple of 65,13,669 with GCF Formula

Least Common Multiple of 65,13,669 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 65,13,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,13,669) = 1

common factors(in case of two or more numbers have common factors) = 13

GCF(65,13,669) x common factors =1 x 13 = 13

LCM(65,13,669) = ( 65 × 13 × 669 ) / 13

LCM(65,13,669) = 565305 / 13

LCM(65,13,669) = 43485


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 77/65, 350/13, 875/669

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 77/65, 350/13, 875/669?

Answer: GCF of Numerators as per given numbers 77/65, 350/13, 875/669 is

GCF of Numerators i.e. for 77,350,875 is 7

LCM of denominators i.e. for 65,13,669 is 43485.

Thus, GCF of Fractions is 7/43485.Finally, GCF of Fractions for 77/65, 350/13, 875/669 is 7/43485.