Greatest Common Factor of 649/152, 770/859

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 649/152, 770/859

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 649/152,770/859

Given fractions are 649/152,770/859

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 649,770

Greatest Common Factor of Numerators i.e. GCF of 649,770 is 11 .

LCM of Denominators means LCM of 152,859 as per the given fractions.

LCM of 152,859 is 130568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 649,770

GCF of Fractions 649/152,770/859 is 11/130568

11 649, 770
59, 70

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 649,770 By Matching Biggest Common Factor Method

Greatest Common Factor of 649,770 By Matching Biggest Common Factor Method

Factors of 649

List of positive integer factors of 649 that divides 649 without a remainder.

1,11,59,649

Factors of 770

List of positive integer factors of 770 that divides 770 without a remainder.

1,2,5,7,10,11,14,22,35,55,70,77,110,154,385,770

Greatest Common Factor

We found the factors 649,770 . The biggest common factor number is the GCF number.
So the greatest common factor 649,770 is 11.

Lets's calculate LCM of 152,859

Given numbers has no common factors except 1. So, there LCM is their product i.e 130568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/130568

Therefore, the GCF of Fractions 649/152,770/859 is 11/130568

Least Common Multiple of 152,859 with GCF Formula

Least Common Multiple of 152,859 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 152,859 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(152,859) = 1

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

GCF(152,859) x common factors =1 x 1 = 1

LCM(152,859) = ( 152 × 859 ) / 1

LCM(152,859) = 130568 / 1

LCM(152,859) = 130568


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 649/152, 770/859

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 649/152, 770/859?

Answer: GCF of Numerators as per given numbers 649/152, 770/859 is

GCF of Numerators i.e. for 649,770 is 11

LCM of denominators i.e. for 152,859 is 130568.

Thus, GCF of Fractions is 11/130568.Finally, GCF of Fractions for 649/152, 770/859 is 11/130568.