Greatest Common Factor of 54/77, 46/200, 185/462

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/77, 46/200, 185/462

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 54/77,46/200,185/462

Given fractions are 54/77,46/200,185/462

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 54,46,185

Greatest Common Factor of Numerators i.e. GCF of 54,46,185 is 1 .

LCM of Denominators means LCM of 77,200,462 as per the given fractions.

LCM of 77,200,462 is 46200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,46,185

GCF of Fractions 54/77,46/200,185/462 is 1/46200

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

Greatest Common Factor of 54,46,185 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,46,185 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 185

List of positive integer factors of 185 that divides 185 without a remainder.

1,5,37,185

Greatest Common Factor

We found the factors 54,46,185 . The biggest common factor number is the GCF number.
So the greatest common factor 54,46,185 is 1.

Lets's calculate LCM of 77,200,462

2 77, 200, 462
7 77, 100, 231
11 11, 100, 33
1, 100, 3

∴ So the LCM of the given numbers is 2 x 7 x 11 x 1 x 100 x 3 = 46200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46200

Therefore, the GCF of Fractions 54/77,46/200,185/462 is 1/46200

Least Common Multiple of 77,200,462 with GCF Formula

Least Common Multiple of 77,200,462 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 77,200,462 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,200,462) = 1

common factors(in case of two or more numbers have common factors) = 154

GCF(77,200,462) x common factors =1 x 154 = 154

LCM(77,200,462) = ( 77 × 200 × 462 ) / 154

LCM(77,200,462) = 7114800 / 154

LCM(77,200,462) = 46200


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 54/77, 46/200, 185/462

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 54/77, 46/200, 185/462?

Answer: GCF of Numerators as per given numbers 54/77, 46/200, 185/462 is

GCF of Numerators i.e. for 54,46,185 is 1

LCM of denominators i.e. for 77,200,462 is 46200.

Thus, GCF of Fractions is 1/46200.Finally, GCF of Fractions for 54/77, 46/200, 185/462 is 1/46200.