Greatest Common Factor of 360/91, 736/3376

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/91, 736/3376

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 360/91,736/3376

Given fractions are 360/91,736/3376

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 360,736

Greatest Common Factor of Numerators i.e. GCF of 360,736 is 8 .

LCM of Denominators means LCM of 91,3376 as per the given fractions.

LCM of 91,3376 is 307216 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,736

GCF of Fractions 360/91,736/3376 is 8/307216

2 360, 736
2 180, 368
2 90, 184
45, 92

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 360,736 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,736 By Matching Biggest Common Factor Method

Factors of 360

List of positive integer factors of 360 that divides 360 without a remainder.

1,2,3,4,5,6,8,9,10,12,15,18,20,24,30,36,40,45,60,72,90,120,180,360

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Greatest Common Factor

We found the factors 360,736 . The biggest common factor number is the GCF number.
So the greatest common factor 360,736 is 8.

Lets's calculate LCM of 91,3376

Given numbers has no common factors except 1. So, there LCM is their product i.e 307216

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/307216

Therefore, the GCF of Fractions 360/91,736/3376 is 8/307216

Least Common Multiple of 91,3376 with GCF Formula

Least Common Multiple of 91,3376 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 91,3376 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(91,3376) = 1

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

GCF(91,3376) x common factors =1 x 1 = 1

LCM(91,3376) = ( 91 × 3376 ) / 1

LCM(91,3376) = 307216 / 1

LCM(91,3376) = 307216


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 360/91, 736/3376

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 360/91, 736/3376?

Answer: GCF of Numerators as per given numbers 360/91, 736/3376 is

GCF of Numerators i.e. for 360,736 is 8

LCM of denominators i.e. for 91,3376 is 307216.

Thus, GCF of Fractions is 8/307216.Finally, GCF of Fractions for 360/91, 736/3376 is 8/307216.