Greatest Common Factor of 450/67, 648/89, 316/917

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 450/67, 648/89, 316/917

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 450/67,648/89,316/917

Given fractions are 450/67,648/89,316/917

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 450,648,316

Greatest Common Factor of Numerators i.e. GCF of 450,648,316 is 2 .

LCM of Denominators means LCM of 67,89,917 as per the given fractions.

LCM of 67,89,917 is 5468071 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 450,648,316

GCF of Fractions 450/67,648/89,316/917 is 2/5468071

2 450, 648, 316
225, 324, 158

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

Greatest Common Factor of 450,648,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 450,648,316 By Matching Biggest Common Factor Method

Factors of 450

List of positive integer factors of 450 that divides 450 without a remainder.

1,2,3,5,6,9,10,15,18,25,30,45,50,75,90,150,225,450

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 450,648,316 . The biggest common factor number is the GCF number.
So the greatest common factor 450,648,316 is 2.

Lets's calculate LCM of 67,89,917

Given numbers has no common factors except 1. So, there LCM is their product i.e 5468071

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5468071

Therefore, the GCF of Fractions 450/67,648/89,316/917 is 2/5468071

Least Common Multiple of 67,89,917 with GCF Formula

Least Common Multiple of 67,89,917 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 67,89,917 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,89,917) = 1

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

GCF(67,89,917) x common factors =1 x 1 = 1

LCM(67,89,917) = ( 67 × 89 × 917 ) / 1

LCM(67,89,917) = 5468071 / 1

LCM(67,89,917) = 5468071


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 450/67, 648/89, 316/917

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 450/67, 648/89, 316/917?

Answer: GCF of Numerators as per given numbers 450/67, 648/89, 316/917 is

GCF of Numerators i.e. for 450,648,316 is 2

LCM of denominators i.e. for 67,89,917 is 5468071.

Thus, GCF of Fractions is 2/5468071.Finally, GCF of Fractions for 450/67, 648/89, 316/917 is 2/5468071.