Greatest Common Factor of 34/471, 32/941, 668/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/471, 32/941, 668/114

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 34/471,32/941,668/114

Given fractions are 34/471,32/941,668/114

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 34,32,668

Greatest Common Factor of Numerators i.e. GCF of 34,32,668 is 2 .

LCM of Denominators means LCM of 471,941,114 as per the given fractions.

LCM of 471,941,114 is 16842018 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,32,668

GCF of Fractions 34/471,32/941,668/114 is 2/16842018

2 34, 32, 668
17, 16, 334

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

Greatest Common Factor of 34,32,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,32,668 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 668

List of positive integer factors of 668 that divides 668 without a remainder.

1,2,4,167,334,668

Greatest Common Factor

We found the factors 34,32,668 . The biggest common factor number is the GCF number.
So the greatest common factor 34,32,668 is 2.

Lets's calculate LCM of 471,941,114

3 471, 941, 114
157, 941, 38

∴ So the LCM of the given numbers is 3 x 157 x 941 x 38 = 16842018

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16842018

Therefore, the GCF of Fractions 34/471,32/941,668/114 is 2/16842018

Least Common Multiple of 471,941,114 with GCF Formula

Least Common Multiple of 471,941,114 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 471,941,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(471,941,114) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(471,941,114) x common factors =1 x 3 = 3

LCM(471,941,114) = ( 471 × 941 × 114 ) / 3

LCM(471,941,114) = 50526054 / 3

LCM(471,941,114) = 16842018


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 34/471, 32/941, 668/114

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 34/471, 32/941, 668/114?

Answer: GCF of Numerators as per given numbers 34/471, 32/941, 668/114 is

GCF of Numerators i.e. for 34,32,668 is 2

LCM of denominators i.e. for 471,941,114 is 16842018.

Thus, GCF of Fractions is 2/16842018.Finally, GCF of Fractions for 34/471, 32/941, 668/114 is 2/16842018.