Greatest Common Factor of 262/38, 543/64, 668/34

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 262/38, 543/64, 668/34

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 262/38,543/64,668/34

Given fractions are 262/38,543/64,668/34

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 262,543,668

Greatest Common Factor of Numerators i.e. GCF of 262,543,668 is 1 .

LCM of Denominators means LCM of 38,64,34 as per the given fractions.

LCM of 38,64,34 is 20672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 262,543,668

GCF of Fractions 262/38,543/64,668/34 is 1/20672

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

Greatest Common Factor of 262,543,668 By Matching Biggest Common Factor Method

Greatest Common Factor of 262,543,668 By Matching Biggest Common Factor Method

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

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 262,543,668 . The biggest common factor number is the GCF number.
So the greatest common factor 262,543,668 is 1.

Lets's calculate LCM of 38,64,34

2 38, 64, 34
19, 32, 17

∴ So the LCM of the given numbers is 2 x 19 x 32 x 17 = 20672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20672

Therefore, the GCF of Fractions 262/38,543/64,668/34 is 1/20672

Least Common Multiple of 38,64,34 with GCF Formula

Least Common Multiple of 38,64,34 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 38,64,34 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,64,34) = 2

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

GCF(38,64,34) x common factors =2 x 2 = 4

LCM(38,64,34) = ( 38 × 64 × 34 ) / 4

LCM(38,64,34) = 82688 / 4

LCM(38,64,34) = 20672


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 262/38, 543/64, 668/34

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 262/38, 543/64, 668/34?

Answer: GCF of Numerators as per given numbers 262/38, 543/64, 668/34 is

GCF of Numerators i.e. for 262,543,668 is 1

LCM of denominators i.e. for 38,64,34 is 20672.

Thus, GCF of Fractions is 1/20672.Finally, GCF of Fractions for 262/38, 543/64, 668/34 is 1/20672.