Greatest Common Factor of 92/214, 616/382

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 92/214, 616/382

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 92/214,616/382

Given fractions are 92/214,616/382

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 92,616

Greatest Common Factor of Numerators i.e. GCF of 92,616 is 4 .

LCM of Denominators means LCM of 214,382 as per the given fractions.

LCM of 214,382 is 40874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 92,616

GCF of Fractions 92/214,616/382 is 4/40874

2 92, 616
2 46, 308
23, 154

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 92,616 By Matching Biggest Common Factor Method

Greatest Common Factor of 92,616 By Matching Biggest Common Factor Method

Factors of 92

List of positive integer factors of 92 that divides 92 without a remainder.

1,2,4,23,46,92

Factors of 616

List of positive integer factors of 616 that divides 616 without a remainder.

1,2,4,7,8,11,14,22,28,44,56,77,88,154,308,616

Greatest Common Factor

We found the factors 92,616 . The biggest common factor number is the GCF number.
So the greatest common factor 92,616 is 4.

Lets's calculate LCM of 214,382

2 214, 382
107, 191

∴ So the LCM of the given numbers is 2 x 107 x 191 = 40874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/40874

Therefore, the GCF of Fractions 92/214,616/382 is 4/40874

Least Common Multiple of 214,382 with GCF Formula

Least Common Multiple of 214,382 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 214,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,382) = 2

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

GCF(214,382) x common factors =2 x 1 = 2

LCM(214,382) = ( 214 × 382 ) / 2

LCM(214,382) = 81748 / 2

LCM(214,382) = 40874


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 92/214, 616/382

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 92/214, 616/382?

Answer: GCF of Numerators as per given numbers 92/214, 616/382 is

GCF of Numerators i.e. for 92,616 is 4

LCM of denominators i.e. for 214,382 is 40874.

Thus, GCF of Fractions is 4/40874.Finally, GCF of Fractions for 92/214, 616/382 is 4/40874.