Greatest Common Factor of 68/28, 697/79, 221/414

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/28, 697/79, 221/414

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 68/28,697/79,221/414

Given fractions are 68/28,697/79,221/414

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 68,697,221

Greatest Common Factor of Numerators i.e. GCF of 68,697,221 is 17 .

LCM of Denominators means LCM of 28,79,414 as per the given fractions.

LCM of 28,79,414 is 457884 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,697,221

GCF of Fractions 68/28,697/79,221/414 is 17/457884

17 68, 697, 221
4, 41, 13

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 68,697,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,697,221 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 68,697,221 . The biggest common factor number is the GCF number.
So the greatest common factor 68,697,221 is 17.

Lets's calculate LCM of 28,79,414

2 28, 79, 414
14, 79, 207

∴ So the LCM of the given numbers is 2 x 14 x 79 x 207 = 457884

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/457884

Therefore, the GCF of Fractions 68/28,697/79,221/414 is 17/457884

Least Common Multiple of 28,79,414 with GCF Formula

Least Common Multiple of 28,79,414 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 28,79,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,79,414) = 1

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

GCF(28,79,414) x common factors =1 x 2 = 2

LCM(28,79,414) = ( 28 × 79 × 414 ) / 2

LCM(28,79,414) = 915768 / 2

LCM(28,79,414) = 457884


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 68/28, 697/79, 221/414

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 68/28, 697/79, 221/414?

Answer: GCF of Numerators as per given numbers 68/28, 697/79, 221/414 is

GCF of Numerators i.e. for 68,697,221 is 17

LCM of denominators i.e. for 28,79,414 is 457884.

Thus, GCF of Fractions is 17/457884.Finally, GCF of Fractions for 68/28, 697/79, 221/414 is 17/457884.