Greatest Common Factor of 8716/689, 4557/450

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8716/689, 4557/450

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 8716/689,4557/450

Given fractions are 8716/689,4557/450

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 8716,4557

Greatest Common Factor of Numerators i.e. GCF of 8716,4557 is 1 .

LCM of Denominators means LCM of 689,450 as per the given fractions.

LCM of 689,450 is 310050 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8716,4557

GCF of Fractions 8716/689,4557/450 is 1/310050

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

Greatest Common Factor of 8716,4557 By Matching Biggest Common Factor Method

Greatest Common Factor of 8716,4557 By Matching Biggest Common Factor Method

Factors of 8716

List of positive integer factors of 8716 that divides 8716 without a remainder.

1,2,4,2179,4358,8716

Factors of 4557

List of positive integer factors of 4557 that divides 4557 without a remainder.

1,3,7,21,31,49,93,147,217,651,1519,4557

Greatest Common Factor

We found the factors 8716,4557 . The biggest common factor number is the GCF number.
So the greatest common factor 8716,4557 is 1.

Lets's calculate LCM of 689,450

Given numbers has no common factors except 1. So, there LCM is their product i.e 310050

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/310050

Therefore, the GCF of Fractions 8716/689,4557/450 is 1/310050

Least Common Multiple of 689,450 with GCF Formula

Least Common Multiple of 689,450 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 689,450 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,450) = 1

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

GCF(689,450) x common factors =1 x 1 = 1

LCM(689,450) = ( 689 × 450 ) / 1

LCM(689,450) = 310050 / 1

LCM(689,450) = 310050


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 8716/689, 4557/450

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 8716/689, 4557/450?

Answer: GCF of Numerators as per given numbers 8716/689, 4557/450 is

GCF of Numerators i.e. for 8716,4557 is 1

LCM of denominators i.e. for 689,450 is 310050.

Thus, GCF of Fractions is 1/310050.Finally, GCF of Fractions for 8716/689, 4557/450 is 1/310050.