Greatest Common Factor of 458/77, 484/49, 527/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 458/77, 484/49, 527/245

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 458/77,484/49,527/245

Given fractions are 458/77,484/49,527/245

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 458,484,527

Greatest Common Factor of Numerators i.e. GCF of 458,484,527 is 1 .

LCM of Denominators means LCM of 77,49,245 as per the given fractions.

LCM of 77,49,245 is 2695 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 458,484,527

GCF of Fractions 458/77,484/49,527/245 is 1/2695

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

Greatest Common Factor of 458,484,527 By Matching Biggest Common Factor Method

Greatest Common Factor of 458,484,527 By Matching Biggest Common Factor Method

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Factors of 484

List of positive integer factors of 484 that divides 484 without a remainder.

1,2,4,11,22,44,121,242,484

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Greatest Common Factor

We found the factors 458,484,527 . The biggest common factor number is the GCF number.
So the greatest common factor 458,484,527 is 1.

Lets's calculate LCM of 77,49,245

7 77, 49, 245
7 11, 7, 35
11, 1, 5

∴ So the LCM of the given numbers is 7 x 7 x 11 x 1 x 5 = 2695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2695

Therefore, the GCF of Fractions 458/77,484/49,527/245 is 1/2695

Least Common Multiple of 77,49,245 with GCF Formula

Least Common Multiple of 77,49,245 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 77,49,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,49,245) = 7

common factors(in case of two or more numbers have common factors) = 49

GCF(77,49,245) x common factors =7 x 49 = 343

LCM(77,49,245) = ( 77 × 49 × 245 ) / 343

LCM(77,49,245) = 924385 / 343

LCM(77,49,245) = 2695


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 458/77, 484/49, 527/245

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 458/77, 484/49, 527/245?

Answer: GCF of Numerators as per given numbers 458/77, 484/49, 527/245 is

GCF of Numerators i.e. for 458,484,527 is 1

LCM of denominators i.e. for 77,49,245 is 2695.

Thus, GCF of Fractions is 1/2695.Finally, GCF of Fractions for 458/77, 484/49, 527/245 is 1/2695.