Greatest Common Factor of 68/928, 816/415

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/928, 816/415

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 68/928,816/415

Given fractions are 68/928,816/415

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 68,816

Greatest Common Factor of Numerators i.e. GCF of 68,816 is 68 .

LCM of Denominators means LCM of 928,415 as per the given fractions.

LCM of 928,415 is 385120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,816

GCF of Fractions 68/928,816/415 is 68/385120

2 68, 816
2 34, 408
17 17, 204
1, 12

∴ So the GCF of the given numbers is 2 x 2 x 17 = 68

Greatest Common Factor of 68,816 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,816 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 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Greatest Common Factor

We found the factors 68,816 . The biggest common factor number is the GCF number.
So the greatest common factor 68,816 is 68.

Lets's calculate LCM of 928,415

Given numbers has no common factors except 1. So, there LCM is their product i.e 385120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 68/385120

Therefore, the GCF of Fractions 68/928,816/415 is 68/385120

Least Common Multiple of 928,415 with GCF Formula

Least Common Multiple of 928,415 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 928,415 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(928,415) = 1

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

GCF(928,415) x common factors =1 x 1 = 1

LCM(928,415) = ( 928 × 415 ) / 1

LCM(928,415) = 385120 / 1

LCM(928,415) = 385120


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 68/928, 816/415

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 68/928, 816/415?

Answer: GCF of Numerators as per given numbers 68/928, 816/415 is

GCF of Numerators i.e. for 68,816 is 68

LCM of denominators i.e. for 928,415 is 385120.

Thus, GCF of Fractions is 68/385120.Finally, GCF of Fractions for 68/928, 816/415 is 68/385120.