Greatest Common Factor of 11/677, 473/546

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/677, 473/546

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 11/677,473/546

Given fractions are 11/677,473/546

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 11,473

Greatest Common Factor of Numerators i.e. GCF of 11,473 is 11 .

LCM of Denominators means LCM of 677,546 as per the given fractions.

LCM of 677,546 is 369642 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,473

GCF of Fractions 11/677,473/546 is 11/369642

11 11, 473
1, 43

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 11,473 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,473 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 473

List of positive integer factors of 473 that divides 473 without a remainder.

1,11,43,473

Greatest Common Factor

We found the factors 11,473 . The biggest common factor number is the GCF number.
So the greatest common factor 11,473 is 11.

Lets's calculate LCM of 677,546

Given numbers has no common factors except 1. So, there LCM is their product i.e 369642

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/369642

Therefore, the GCF of Fractions 11/677,473/546 is 11/369642

Least Common Multiple of 677,546 with GCF Formula

Least Common Multiple of 677,546 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 677,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,546) = 1

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

GCF(677,546) x common factors =1 x 1 = 1

LCM(677,546) = ( 677 × 546 ) / 1

LCM(677,546) = 369642 / 1

LCM(677,546) = 369642


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 11/677, 473/546

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 11/677, 473/546?

Answer: GCF of Numerators as per given numbers 11/677, 473/546 is

GCF of Numerators i.e. for 11,473 is 11

LCM of denominators i.e. for 677,546 is 369642.

Thus, GCF of Fractions is 11/369642.Finally, GCF of Fractions for 11/677, 473/546 is 11/369642.