Greatest Common Factor of 49/526, 275/302, 184/326

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 49/526, 275/302, 184/326

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 49/526,275/302,184/326

Given fractions are 49/526,275/302,184/326

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 49,275,184

Greatest Common Factor of Numerators i.e. GCF of 49,275,184 is 1 .

LCM of Denominators means LCM of 526,302,326 as per the given fractions.

LCM of 526,302,326 is 12946438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 49,275,184

GCF of Fractions 49/526,275/302,184/326 is 1/12946438

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

Greatest Common Factor of 49,275,184 By Matching Biggest Common Factor Method

Greatest Common Factor of 49,275,184 By Matching Biggest Common Factor Method

Factors of 49

List of positive integer factors of 49 that divides 49 without a remainder.

1,7,49

Factors of 275

List of positive integer factors of 275 that divides 275 without a remainder.

1,5,11,25,55,275

Factors of 184

List of positive integer factors of 184 that divides 184 without a remainder.

1,2,4,8,23,46,92,184

Greatest Common Factor

We found the factors 49,275,184 . The biggest common factor number is the GCF number.
So the greatest common factor 49,275,184 is 1.

Lets's calculate LCM of 526,302,326

2 526, 302, 326
263, 151, 163

∴ So the LCM of the given numbers is 2 x 263 x 151 x 163 = 12946438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12946438

Therefore, the GCF of Fractions 49/526,275/302,184/326 is 1/12946438

Least Common Multiple of 526,302,326 with GCF Formula

Least Common Multiple of 526,302,326 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 526,302,326 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,302,326) = 2

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

GCF(526,302,326) x common factors =2 x 2 = 4

LCM(526,302,326) = ( 526 × 302 × 326 ) / 4

LCM(526,302,326) = 51785752 / 4

LCM(526,302,326) = 12946438


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 49/526, 275/302, 184/326

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 49/526, 275/302, 184/326?

Answer: GCF of Numerators as per given numbers 49/526, 275/302, 184/326 is

GCF of Numerators i.e. for 49,275,184 is 1

LCM of denominators i.e. for 526,302,326 is 12946438.

Thus, GCF of Fractions is 1/12946438.Finally, GCF of Fractions for 49/526, 275/302, 184/326 is 1/12946438.