Greatest Common Factor of 95/51, 780/24, 699/466

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 95/51, 780/24, 699/466

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 95/51,780/24,699/466

Given fractions are 95/51,780/24,699/466

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 95,780,699

Greatest Common Factor of Numerators i.e. GCF of 95,780,699 is 1 .

LCM of Denominators means LCM of 51,24,466 as per the given fractions.

LCM of 51,24,466 is 95064 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 95,780,699

GCF of Fractions 95/51,780/24,699/466 is 1/95064

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 95,780,699 By Matching Biggest Common Factor Method

Greatest Common Factor of 95,780,699 By Matching Biggest Common Factor Method

Factors of 95

List of positive integer factors of 95 that divides 95 without a remainder.

1,5,19,95

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Greatest Common Factor

We found the factors 95,780,699 . The biggest common factor number is the GCF number.
So the greatest common factor 95,780,699 is 1.

Lets's calculate LCM of 51,24,466

2 51, 24, 466
3 51, 12, 233
17, 4, 233

∴ So the LCM of the given numbers is 2 x 3 x 17 x 4 x 233 = 95064

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/95064

Therefore, the GCF of Fractions 95/51,780/24,699/466 is 1/95064

Least Common Multiple of 51,24,466 with GCF Formula

Least Common Multiple of 51,24,466 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 51,24,466 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,24,466) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(51,24,466) x common factors =1 x 6 = 6

LCM(51,24,466) = ( 51 × 24 × 466 ) / 6

LCM(51,24,466) = 570384 / 6

LCM(51,24,466) = 95064


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 95/51, 780/24, 699/466

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 95/51, 780/24, 699/466?

Answer: GCF of Numerators as per given numbers 95/51, 780/24, 699/466 is

GCF of Numerators i.e. for 95,780,699 is 1

LCM of denominators i.e. for 51,24,466 is 95064.

Thus, GCF of Fractions is 1/95064.Finally, GCF of Fractions for 95/51, 780/24, 699/466 is 1/95064.