Greatest Common Factor of 360/37, 526/76, 792/114

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 360/37, 526/76, 792/114

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 360/37,526/76,792/114

Given fractions are 360/37,526/76,792/114

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 360,526,792

Greatest Common Factor of Numerators i.e. GCF of 360,526,792 is 2 .

LCM of Denominators means LCM of 37,76,114 as per the given fractions.

LCM of 37,76,114 is 8436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 360,526,792

GCF of Fractions 360/37,526/76,792/114 is 2/8436

2 360, 526, 792
180, 263, 396

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

Greatest Common Factor of 360,526,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 360,526,792 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 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Greatest Common Factor

We found the factors 360,526,792 . The biggest common factor number is the GCF number.
So the greatest common factor 360,526,792 is 2.

Lets's calculate LCM of 37,76,114

2 37, 76, 114
19 37, 38, 57
37, 2, 3

∴ So the LCM of the given numbers is 2 x 19 x 37 x 2 x 3 = 8436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8436

Therefore, the GCF of Fractions 360/37,526/76,792/114 is 2/8436

Least Common Multiple of 37,76,114 with GCF Formula

Least Common Multiple of 37,76,114 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 37,76,114 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,76,114) = 1

common factors(in case of two or more numbers have common factors) = 38

GCF(37,76,114) x common factors =1 x 38 = 38

LCM(37,76,114) = ( 37 × 76 × 114 ) / 38

LCM(37,76,114) = 320568 / 38

LCM(37,76,114) = 8436


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 360/37, 526/76, 792/114

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 360/37, 526/76, 792/114?

Answer: GCF of Numerators as per given numbers 360/37, 526/76, 792/114 is

GCF of Numerators i.e. for 360,526,792 is 2

LCM of denominators i.e. for 37,76,114 is 8436.

Thus, GCF of Fractions is 2/8436.Finally, GCF of Fractions for 360/37, 526/76, 792/114 is 2/8436.