Greatest Common Factor of 295/573, 477/329, 557/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 295/573, 477/329, 557/385

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 295/573,477/329,557/385

Given fractions are 295/573,477/329,557/385

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 295,477,557

Greatest Common Factor of Numerators i.e. GCF of 295,477,557 is 1 .

LCM of Denominators means LCM of 573,329,385 as per the given fractions.

LCM of 573,329,385 is 10368435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 295,477,557

GCF of Fractions 295/573,477/329,557/385 is 1/10368435

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

Greatest Common Factor of 295,477,557 By Matching Biggest Common Factor Method

Greatest Common Factor of 295,477,557 By Matching Biggest Common Factor Method

Factors of 295

List of positive integer factors of 295 that divides 295 without a remainder.

1,5,59,295

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 557

List of positive integer factors of 557 that divides 557 without a remainder.

1,557

Greatest Common Factor

We found the factors 295,477,557 . The biggest common factor number is the GCF number.
So the greatest common factor 295,477,557 is 1.

Lets's calculate LCM of 573,329,385

7 573, 329, 385
573, 47, 55

∴ So the LCM of the given numbers is 7 x 573 x 47 x 55 = 10368435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10368435

Therefore, the GCF of Fractions 295/573,477/329,557/385 is 1/10368435

Least Common Multiple of 573,329,385 with GCF Formula

Least Common Multiple of 573,329,385 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 573,329,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(573,329,385) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(573,329,385) x common factors =1 x 7 = 7

LCM(573,329,385) = ( 573 × 329 × 385 ) / 7

LCM(573,329,385) = 72579045 / 7

LCM(573,329,385) = 10368435


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 295/573, 477/329, 557/385

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 295/573, 477/329, 557/385?

Answer: GCF of Numerators as per given numbers 295/573, 477/329, 557/385 is

GCF of Numerators i.e. for 295,477,557 is 1

LCM of denominators i.e. for 573,329,385 is 10368435.

Thus, GCF of Fractions is 1/10368435.Finally, GCF of Fractions for 295/573, 477/329, 557/385 is 1/10368435.