Greatest Common Factor of 272/77, 392/42, 804/16

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 272/77, 392/42, 804/16

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 272/77,392/42,804/16

Given fractions are 272/77,392/42,804/16

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 272,392,804

Greatest Common Factor of Numerators i.e. GCF of 272,392,804 is 4 .

LCM of Denominators means LCM of 77,42,16 as per the given fractions.

LCM of 77,42,16 is 3696 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 272,392,804

GCF of Fractions 272/77,392/42,804/16 is 4/3696

2 272, 392, 804
2 136, 196, 402
68, 98, 201

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

Greatest Common Factor of 272,392,804 By Matching Biggest Common Factor Method

Greatest Common Factor of 272,392,804 By Matching Biggest Common Factor Method

Factors of 272

List of positive integer factors of 272 that divides 272 without a remainder.

1,2,4,8,16,17,34,68,136,272

Factors of 392

List of positive integer factors of 392 that divides 392 without a remainder.

1,2,4,7,8,14,28,49,56,98,196,392

Factors of 804

List of positive integer factors of 804 that divides 804 without a remainder.

1,2,3,4,6,12,67,134,201,268,402,804

Greatest Common Factor

We found the factors 272,392,804 . The biggest common factor number is the GCF number.
So the greatest common factor 272,392,804 is 4.

Lets's calculate LCM of 77,42,16

2 77, 42, 16
7 77, 21, 8
11, 3, 8

∴ So the LCM of the given numbers is 2 x 7 x 11 x 3 x 8 = 3696

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3696

Therefore, the GCF of Fractions 272/77,392/42,804/16 is 4/3696

Least Common Multiple of 77,42,16 with GCF Formula

Least Common Multiple of 77,42,16 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 77,42,16 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,42,16) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(77,42,16) x common factors =1 x 14 = 14

LCM(77,42,16) = ( 77 × 42 × 16 ) / 14

LCM(77,42,16) = 51744 / 14

LCM(77,42,16) = 3696


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 272/77, 392/42, 804/16

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 272/77, 392/42, 804/16?

Answer: GCF of Numerators as per given numbers 272/77, 392/42, 804/16 is

GCF of Numerators i.e. for 272,392,804 is 4

LCM of denominators i.e. for 77,42,16 is 3696.

Thus, GCF of Fractions is 4/3696.Finally, GCF of Fractions for 272/77, 392/42, 804/16 is 4/3696.