Greatest Common Factor of 962/47, 249/49, 178/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 962/47, 249/49, 178/342

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 962/47,249/49,178/342

Given fractions are 962/47,249/49,178/342

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 962,249,178

Greatest Common Factor of Numerators i.e. GCF of 962,249,178 is 1 .

LCM of Denominators means LCM of 47,49,342 as per the given fractions.

LCM of 47,49,342 is 787626 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 962,249,178

GCF of Fractions 962/47,249/49,178/342 is 1/787626

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

Greatest Common Factor of 962,249,178 By Matching Biggest Common Factor Method

Greatest Common Factor of 962,249,178 By Matching Biggest Common Factor Method

Factors of 962

List of positive integer factors of 962 that divides 962 without a remainder.

1,2,13,26,37,74,481,962

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 178

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

1,2,89,178

Greatest Common Factor

We found the factors 962,249,178 . The biggest common factor number is the GCF number.
So the greatest common factor 962,249,178 is 1.

Lets's calculate LCM of 47,49,342

Given numbers has no common factors except 1. So, there LCM is their product i.e 787626

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/787626

Therefore, the GCF of Fractions 962/47,249/49,178/342 is 1/787626

Least Common Multiple of 47,49,342 with GCF Formula

Least Common Multiple of 47,49,342 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 47,49,342 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,49,342) = 1

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

GCF(47,49,342) x common factors =1 x 1 = 1

LCM(47,49,342) = ( 47 × 49 × 342 ) / 1

LCM(47,49,342) = 787626 / 1

LCM(47,49,342) = 787626


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 962/47, 249/49, 178/342

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 962/47, 249/49, 178/342?

Answer: GCF of Numerators as per given numbers 962/47, 249/49, 178/342 is

GCF of Numerators i.e. for 962,249,178 is 1

LCM of denominators i.e. for 47,49,342 is 787626.

Thus, GCF of Fractions is 1/787626.Finally, GCF of Fractions for 962/47, 249/49, 178/342 is 1/787626.