Greatest Common Factor of 55/12, 78/46, 465/252

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/12, 78/46, 465/252

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 55/12,78/46,465/252

Given fractions are 55/12,78/46,465/252

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 55,78,465

Greatest Common Factor of Numerators i.e. GCF of 55,78,465 is 1 .

LCM of Denominators means LCM of 12,46,252 as per the given fractions.

LCM of 12,46,252 is 5796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,78,465

GCF of Fractions 55/12,78/46,465/252 is 1/5796

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

Greatest Common Factor of 55,78,465 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,78,465 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 465

List of positive integer factors of 465 that divides 465 without a remainder.

1,3,5,15,31,93,155,465

Greatest Common Factor

We found the factors 55,78,465 . The biggest common factor number is the GCF number.
So the greatest common factor 55,78,465 is 1.

Lets's calculate LCM of 12,46,252

2 12, 46, 252
2 6, 23, 126
3 3, 23, 63
1, 23, 21

∴ So the LCM of the given numbers is 2 x 2 x 3 x 1 x 23 x 21 = 5796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5796

Therefore, the GCF of Fractions 55/12,78/46,465/252 is 1/5796

Least Common Multiple of 12,46,252 with GCF Formula

Least Common Multiple of 12,46,252 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 12,46,252 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(12,46,252) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(12,46,252) x common factors =2 x 12 = 24

LCM(12,46,252) = ( 12 × 46 × 252 ) / 24

LCM(12,46,252) = 139104 / 24

LCM(12,46,252) = 5796


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 55/12, 78/46, 465/252

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 55/12, 78/46, 465/252?

Answer: GCF of Numerators as per given numbers 55/12, 78/46, 465/252 is

GCF of Numerators i.e. for 55,78,465 is 1

LCM of denominators i.e. for 12,46,252 is 5796.

Thus, GCF of Fractions is 1/5796.Finally, GCF of Fractions for 55/12, 78/46, 465/252 is 1/5796.