Greatest Common Factor of 322/87, 807/89, 792/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 322/87, 807/89, 792/46

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 322/87,807/89,792/46

Given fractions are 322/87,807/89,792/46

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 322,807,792

Greatest Common Factor of Numerators i.e. GCF of 322,807,792 is 1 .

LCM of Denominators means LCM of 87,89,46 as per the given fractions.

LCM of 87,89,46 is 356178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 322,807,792

GCF of Fractions 322/87,807/89,792/46 is 1/356178

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 322,807,792 By Matching Biggest Common Factor Method

Greatest Common Factor of 322,807,792 By Matching Biggest Common Factor Method

Factors of 322

List of positive integer factors of 322 that divides 322 without a remainder.

1,2,7,14,23,46,161,322

Factors of 807

List of positive integer factors of 807 that divides 807 without a remainder.

1,3,269,807

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 322,807,792 . The biggest common factor number is the GCF number.
So the greatest common factor 322,807,792 is 1.

Lets's calculate LCM of 87,89,46

Given numbers has no common factors except 1. So, there LCM is their product i.e 356178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/356178

Therefore, the GCF of Fractions 322/87,807/89,792/46 is 1/356178

Least Common Multiple of 87,89,46 with GCF Formula

Least Common Multiple of 87,89,46 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 87,89,46 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,89,46) = 1

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

GCF(87,89,46) x common factors =1 x 1 = 1

LCM(87,89,46) = ( 87 × 89 × 46 ) / 1

LCM(87,89,46) = 356178 / 1

LCM(87,89,46) = 356178


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 322/87, 807/89, 792/46

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 322/87, 807/89, 792/46?

Answer: GCF of Numerators as per given numbers 322/87, 807/89, 792/46 is

GCF of Numerators i.e. for 322,807,792 is 1

LCM of denominators i.e. for 87,89,46 is 356178.

Thus, GCF of Fractions is 1/356178.Finally, GCF of Fractions for 322/87, 807/89, 792/46 is 1/356178.