Greatest Common Factor of 51/411, 765/532

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 51/411, 765/532

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 51/411,765/532

Given fractions are 51/411,765/532

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 51,765

Greatest Common Factor of Numerators i.e. GCF of 51,765 is 51 .

LCM of Denominators means LCM of 411,532 as per the given fractions.

LCM of 411,532 is 218652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 51,765

GCF of Fractions 51/411,765/532 is 51/218652

3 51, 765
17 17, 255
1, 15

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 51,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 51,765 By Matching Biggest Common Factor Method

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 51,765 . The biggest common factor number is the GCF number.
So the greatest common factor 51,765 is 51.

Lets's calculate LCM of 411,532

Given numbers has no common factors except 1. So, there LCM is their product i.e 218652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/218652

Therefore, the GCF of Fractions 51/411,765/532 is 51/218652

Least Common Multiple of 411,532 with GCF Formula

Least Common Multiple of 411,532 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 411,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(411,532) = 1

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

GCF(411,532) x common factors =1 x 1 = 1

LCM(411,532) = ( 411 × 532 ) / 1

LCM(411,532) = 218652 / 1

LCM(411,532) = 218652


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 51/411, 765/532

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 51/411, 765/532?

Answer: GCF of Numerators as per given numbers 51/411, 765/532 is

GCF of Numerators i.e. for 51,765 is 51

LCM of denominators i.e. for 411,532 is 218652.

Thus, GCF of Fractions is 51/218652.Finally, GCF of Fractions for 51/411, 765/532 is 51/218652.