Greatest Common Factor of 546/66, 772/16, 251/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 546/66, 772/16, 251/838

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 546/66,772/16,251/838

Given fractions are 546/66,772/16,251/838

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 546,772,251

Greatest Common Factor of Numerators i.e. GCF of 546,772,251 is 1 .

LCM of Denominators means LCM of 66,16,838 as per the given fractions.

LCM of 66,16,838 is 221232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 546,772,251

GCF of Fractions 546/66,772/16,251/838 is 1/221232

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

Greatest Common Factor of 546,772,251 By Matching Biggest Common Factor Method

Greatest Common Factor of 546,772,251 By Matching Biggest Common Factor Method

Factors of 546

List of positive integer factors of 546 that divides 546 without a remainder.

1,2,3,6,7,13,14,21,26,39,42,78,91,182,273,546

Factors of 772

List of positive integer factors of 772 that divides 772 without a remainder.

1,2,4,193,386,772

Factors of 251

List of positive integer factors of 251 that divides 251 without a remainder.

1,251

Greatest Common Factor

We found the factors 546,772,251 . The biggest common factor number is the GCF number.
So the greatest common factor 546,772,251 is 1.

Lets's calculate LCM of 66,16,838

2 66, 16, 838
33, 8, 419

∴ So the LCM of the given numbers is 2 x 33 x 8 x 419 = 221232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/221232

Therefore, the GCF of Fractions 546/66,772/16,251/838 is 1/221232

Least Common Multiple of 66,16,838 with GCF Formula

Least Common Multiple of 66,16,838 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 66,16,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,16,838) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(66,16,838) x common factors =2 x 2 = 4

LCM(66,16,838) = ( 66 × 16 × 838 ) / 4

LCM(66,16,838) = 884928 / 4

LCM(66,16,838) = 221232


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 546/66, 772/16, 251/838

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 546/66, 772/16, 251/838?

Answer: GCF of Numerators as per given numbers 546/66, 772/16, 251/838 is

GCF of Numerators i.e. for 546,772,251 is 1

LCM of denominators i.e. for 66,16,838 is 221232.

Thus, GCF of Fractions is 1/221232.Finally, GCF of Fractions for 546/66, 772/16, 251/838 is 1/221232.