Greatest Common Factor of 11/47, 178/37, 676/245

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 11/47, 178/37, 676/245

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 11/47,178/37,676/245

Given fractions are 11/47,178/37,676/245

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 11,178,676

Greatest Common Factor of Numerators i.e. GCF of 11,178,676 is 1 .

LCM of Denominators means LCM of 47,37,245 as per the given fractions.

LCM of 47,37,245 is 426055 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 11,178,676

GCF of Fractions 11/47,178/37,676/245 is 1/426055

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

Greatest Common Factor of 11,178,676 By Matching Biggest Common Factor Method

Greatest Common Factor of 11,178,676 By Matching Biggest Common Factor Method

Factors of 11

List of positive integer factors of 11 that divides 11 without a remainder.

1,11

Factors of 178

List of positive integer factors of 178 that divides 178 without a remainder.

1,2,89,178

Factors of 676

List of positive integer factors of 676 that divides 676 without a remainder.

1,2,4,13,26,52,169,338,676

Greatest Common Factor

We found the factors 11,178,676 . The biggest common factor number is the GCF number.
So the greatest common factor 11,178,676 is 1.

Lets's calculate LCM of 47,37,245

Given numbers has no common factors except 1. So, there LCM is their product i.e 426055

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/426055

Therefore, the GCF of Fractions 11/47,178/37,676/245 is 1/426055

Least Common Multiple of 47,37,245 with GCF Formula

Least Common Multiple of 47,37,245 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 47,37,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,37,245) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(47,37,245) x common factors =1 x 1 = 1

LCM(47,37,245) = ( 47 × 37 × 245 ) / 1

LCM(47,37,245) = 426055 / 1

LCM(47,37,245) = 426055


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 11/47, 178/37, 676/245

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 11/47, 178/37, 676/245?

Answer: GCF of Numerators as per given numbers 11/47, 178/37, 676/245 is

GCF of Numerators i.e. for 11,178,676 is 1

LCM of denominators i.e. for 47,37,245 is 426055.

Thus, GCF of Fractions is 1/426055.Finally, GCF of Fractions for 11/47, 178/37, 676/245 is 1/426055.