Greatest Common Factor of 416/272, 694/304, 372/216

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 416/272, 694/304, 372/216

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 416/272,694/304,372/216

Given fractions are 416/272,694/304,372/216

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 416,694,372

Greatest Common Factor of Numerators i.e. GCF of 416,694,372 is 2 .

LCM of Denominators means LCM of 272,304,216 as per the given fractions.

LCM of 272,304,216 is 139536 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 416,694,372

GCF of Fractions 416/272,694/304,372/216 is 2/139536

2 416, 694, 372
208, 347, 186

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

Greatest Common Factor of 416,694,372 By Matching Biggest Common Factor Method

Greatest Common Factor of 416,694,372 By Matching Biggest Common Factor Method

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 694

List of positive integer factors of 694 that divides 694 without a remainder.

1,2,347,694

Factors of 372

List of positive integer factors of 372 that divides 372 without a remainder.

1,2,3,4,6,12,31,62,93,124,186,372

Greatest Common Factor

We found the factors 416,694,372 . The biggest common factor number is the GCF number.
So the greatest common factor 416,694,372 is 2.

Lets's calculate LCM of 272,304,216

2 272, 304, 216
2 136, 152, 108
2 68, 76, 54
2 34, 38, 27
17, 19, 27

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 19 x 27 = 139536

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/139536

Therefore, the GCF of Fractions 416/272,694/304,372/216 is 2/139536

Least Common Multiple of 272,304,216 with GCF Formula

Least Common Multiple of 272,304,216 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 272,304,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,304,216) = 8

common factors(in case of two or more numbers have common factors) = 16

GCF(272,304,216) x common factors =8 x 16 = 128

LCM(272,304,216) = ( 272 × 304 × 216 ) / 128

LCM(272,304,216) = 17860608 / 128

LCM(272,304,216) = 139536


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 416/272, 694/304, 372/216

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 416/272, 694/304, 372/216?

Answer: GCF of Numerators as per given numbers 416/272, 694/304, 372/216 is

GCF of Numerators i.e. for 416,694,372 is 2

LCM of denominators i.e. for 272,304,216 is 139536.

Thus, GCF of Fractions is 2/139536.Finally, GCF of Fractions for 416/272, 694/304, 372/216 is 2/139536.