Greatest Common Factor of 1551/51, 8565/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1551/51, 8565/211

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 1551/51,8565/211

Given fractions are 1551/51,8565/211

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 1551,8565

Greatest Common Factor of Numerators i.e. GCF of 1551,8565 is 3 .

LCM of Denominators means LCM of 51,211 as per the given fractions.

LCM of 51,211 is 10761 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1551,8565

GCF of Fractions 1551/51,8565/211 is 3/10761

3 1551, 8565
517, 2855

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 1551,8565 By Matching Biggest Common Factor Method

Greatest Common Factor of 1551,8565 By Matching Biggest Common Factor Method

Factors of 1551

List of positive integer factors of 1551 that divides 1551 without a remainder.

1,3,11,33,47,141,517,1551

Factors of 8565

List of positive integer factors of 8565 that divides 8565 without a remainder.

1,3,5,15,571,1713,2855,8565

Greatest Common Factor

We found the factors 1551,8565 . The biggest common factor number is the GCF number.
So the greatest common factor 1551,8565 is 3.

Lets's calculate LCM of 51,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 10761

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/10761

Therefore, the GCF of Fractions 1551/51,8565/211 is 3/10761

Least Common Multiple of 51,211 with GCF Formula

Least Common Multiple of 51,211 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 51,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,211) = 1

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

GCF(51,211) x common factors =1 x 1 = 1

LCM(51,211) = ( 51 × 211 ) / 1

LCM(51,211) = 10761 / 1

LCM(51,211) = 10761


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 1551/51, 8565/211

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 1551/51, 8565/211?

Answer: GCF of Numerators as per given numbers 1551/51, 8565/211 is

GCF of Numerators i.e. for 1551,8565 is 3

LCM of denominators i.e. for 51,211 is 10761.

Thus, GCF of Fractions is 3/10761.Finally, GCF of Fractions for 1551/51, 8565/211 is 3/10761.