Greatest Common Factor of 1275/55, 4606/712

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1275/55, 4606/712

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 1275/55,4606/712

Given fractions are 1275/55,4606/712

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 1275,4606

Greatest Common Factor of Numerators i.e. GCF of 1275,4606 is 1 .

LCM of Denominators means LCM of 55,712 as per the given fractions.

LCM of 55,712 is 39160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1275,4606

GCF of Fractions 1275/55,4606/712 is 1/39160

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

Greatest Common Factor of 1275,4606 By Matching Biggest Common Factor Method

Greatest Common Factor of 1275,4606 By Matching Biggest Common Factor Method

Factors of 1275

List of positive integer factors of 1275 that divides 1275 without a remainder.

1,3,5,15,17,25,51,75,85,255,425,1275

Factors of 4606

List of positive integer factors of 4606 that divides 4606 without a remainder.

1,2,7,14,47,49,94,98,329,658,2303,4606

Greatest Common Factor

We found the factors 1275,4606 . The biggest common factor number is the GCF number.
So the greatest common factor 1275,4606 is 1.

Lets's calculate LCM of 55,712

Given numbers has no common factors except 1. So, there LCM is their product i.e 39160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39160

Therefore, the GCF of Fractions 1275/55,4606/712 is 1/39160

Least Common Multiple of 55,712 with GCF Formula

Least Common Multiple of 55,712 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 55,712 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,712) = 1

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

GCF(55,712) x common factors =1 x 1 = 1

LCM(55,712) = ( 55 × 712 ) / 1

LCM(55,712) = 39160 / 1

LCM(55,712) = 39160


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 1275/55, 4606/712

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 1275/55, 4606/712?

Answer: GCF of Numerators as per given numbers 1275/55, 4606/712 is

GCF of Numerators i.e. for 1275,4606 is 1

LCM of denominators i.e. for 55,712 is 39160.

Thus, GCF of Fractions is 1/39160.Finally, GCF of Fractions for 1275/55, 4606/712 is 1/39160.