Greatest Common Factor of 946/47, 862/14, 314/17

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 946/47, 862/14, 314/17

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 946/47,862/14,314/17

Given fractions are 946/47,862/14,314/17

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 946,862,314

Greatest Common Factor of Numerators i.e. GCF of 946,862,314 is 2 .

LCM of Denominators means LCM of 47,14,17 as per the given fractions.

LCM of 47,14,17 is 11186 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 946,862,314

GCF of Fractions 946/47,862/14,314/17 is 2/11186

2 946, 862, 314
473, 431, 157

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 946,862,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,862,314 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 862

List of positive integer factors of 862 that divides 862 without a remainder.

1,2,431,862

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 946,862,314 . The biggest common factor number is the GCF number.
So the greatest common factor 946,862,314 is 2.

Lets's calculate LCM of 47,14,17

Given numbers has no common factors except 1. So, there LCM is their product i.e 11186

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11186

Therefore, the GCF of Fractions 946/47,862/14,314/17 is 2/11186

Least Common Multiple of 47,14,17 with GCF Formula

Least Common Multiple of 47,14,17 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 47,14,17 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,14,17) = 1

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

GCF(47,14,17) x common factors =1 x 1 = 1

LCM(47,14,17) = ( 47 × 14 × 17 ) / 1

LCM(47,14,17) = 11186 / 1

LCM(47,14,17) = 11186


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 946/47, 862/14, 314/17

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 946/47, 862/14, 314/17?

Answer: GCF of Numerators as per given numbers 946/47, 862/14, 314/17 is

GCF of Numerators i.e. for 946,862,314 is 2

LCM of denominators i.e. for 47,14,17 is 11186.

Thus, GCF of Fractions is 2/11186.Finally, GCF of Fractions for 946/47, 862/14, 314/17 is 2/11186.