Greatest Common Factor of 454/56, 541/84, 160/292

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 454/56, 541/84, 160/292

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 454/56,541/84,160/292

Given fractions are 454/56,541/84,160/292

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 454,541,160

Greatest Common Factor of Numerators i.e. GCF of 454,541,160 is 1 .

LCM of Denominators means LCM of 56,84,292 as per the given fractions.

LCM of 56,84,292 is 12264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 454,541,160

GCF of Fractions 454/56,541/84,160/292 is 1/12264

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

Greatest Common Factor of 454,541,160 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,541,160 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 160

List of positive integer factors of 160 that divides 160 without a remainder.

1,2,4,5,8,10,16,20,32,40,80,160

Greatest Common Factor

We found the factors 454,541,160 . The biggest common factor number is the GCF number.
So the greatest common factor 454,541,160 is 1.

Lets's calculate LCM of 56,84,292

2 56, 84, 292
2 28, 42, 146
7 14, 21, 73
2, 3, 73

∴ So the LCM of the given numbers is 2 x 2 x 7 x 2 x 3 x 73 = 12264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12264

Therefore, the GCF of Fractions 454/56,541/84,160/292 is 1/12264

Least Common Multiple of 56,84,292 with GCF Formula

Least Common Multiple of 56,84,292 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 56,84,292 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(56,84,292) = 4

common factors(in case of two or more numbers have common factors) = 28

GCF(56,84,292) x common factors =4 x 28 = 112

LCM(56,84,292) = ( 56 × 84 × 292 ) / 112

LCM(56,84,292) = 1373568 / 112

LCM(56,84,292) = 12264


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 454/56, 541/84, 160/292

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 454/56, 541/84, 160/292?

Answer: GCF of Numerators as per given numbers 454/56, 541/84, 160/292 is

GCF of Numerators i.e. for 454,541,160 is 1

LCM of denominators i.e. for 56,84,292 is 12264.

Thus, GCF of Fractions is 1/12264.Finally, GCF of Fractions for 454/56, 541/84, 160/292 is 1/12264.