Greatest Common Factor of 711/456, 3675/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 711/456, 3675/548

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 711/456,3675/548

Given fractions are 711/456,3675/548

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 711,3675

Greatest Common Factor of Numerators i.e. GCF of 711,3675 is 3 .

LCM of Denominators means LCM of 456,548 as per the given fractions.

LCM of 456,548 is 62472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 711,3675

GCF of Fractions 711/456,3675/548 is 3/62472

3 711, 3675
237, 1225

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

Greatest Common Factor of 711,3675 By Matching Biggest Common Factor Method

Greatest Common Factor of 711,3675 By Matching Biggest Common Factor Method

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Factors of 3675

List of positive integer factors of 3675 that divides 3675 without a remainder.

1,3,5,7,15,21,25,35,49,75,105,147,175,245,525,735,1225,3675

Greatest Common Factor

We found the factors 711,3675 . The biggest common factor number is the GCF number.
So the greatest common factor 711,3675 is 3.

Lets's calculate LCM of 456,548

2 456, 548
2 228, 274
114, 137

∴ So the LCM of the given numbers is 2 x 2 x 114 x 137 = 62472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/62472

Therefore, the GCF of Fractions 711/456,3675/548 is 3/62472

Least Common Multiple of 456,548 with GCF Formula

Least Common Multiple of 456,548 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 456,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(456,548) = 4

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

GCF(456,548) x common factors =4 x 1 = 4

LCM(456,548) = ( 456 × 548 ) / 4

LCM(456,548) = 249888 / 4

LCM(456,548) = 62472


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 711/456, 3675/548

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 711/456, 3675/548?

Answer: GCF of Numerators as per given numbers 711/456, 3675/548 is

GCF of Numerators i.e. for 711,3675 is 3

LCM of denominators i.e. for 456,548 is 62472.

Thus, GCF of Fractions is 3/62472.Finally, GCF of Fractions for 711/456, 3675/548 is 3/62472.