Greatest Common Factor of 159/77, 1855/467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 159/77, 1855/467

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 159/77,1855/467

Given fractions are 159/77,1855/467

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 159,1855

Greatest Common Factor of Numerators i.e. GCF of 159,1855 is 53 .

LCM of Denominators means LCM of 77,467 as per the given fractions.

LCM of 77,467 is 35959 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 159,1855

GCF of Fractions 159/77,1855/467 is 53/35959

53 159, 1855
3, 35

∴ So the GCF of the given numbers is 53 = 53

Greatest Common Factor of 159,1855 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,1855 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 1855

List of positive integer factors of 1855 that divides 1855 without a remainder.

1,5,7,35,53,265,371,1855

Greatest Common Factor

We found the factors 159,1855 . The biggest common factor number is the GCF number.
So the greatest common factor 159,1855 is 53.

Lets's calculate LCM of 77,467

Given numbers has no common factors except 1. So, there LCM is their product i.e 35959

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/35959

Therefore, the GCF of Fractions 159/77,1855/467 is 53/35959

Least Common Multiple of 77,467 with GCF Formula

Least Common Multiple of 77,467 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 77,467 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,467) = 1

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

GCF(77,467) x common factors =1 x 1 = 1

LCM(77,467) = ( 77 × 467 ) / 1

LCM(77,467) = 35959 / 1

LCM(77,467) = 35959


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 159/77, 1855/467

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 159/77, 1855/467?

Answer: GCF of Numerators as per given numbers 159/77, 1855/467 is

GCF of Numerators i.e. for 159,1855 is 53

LCM of denominators i.e. for 77,467 is 35959.

Thus, GCF of Fractions is 53/35959.Finally, GCF of Fractions for 159/77, 1855/467 is 53/35959.