Greatest Common Factor of 4667/750, 4825/217

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4667/750, 4825/217

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 4667/750,4825/217

Given fractions are 4667/750,4825/217

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 4667,4825

Greatest Common Factor of Numerators i.e. GCF of 4667,4825 is 1 .

LCM of Denominators means LCM of 750,217 as per the given fractions.

LCM of 750,217 is 162750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4667,4825

GCF of Fractions 4667/750,4825/217 is 1/162750

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

Greatest Common Factor of 4667,4825 By Matching Biggest Common Factor Method

Greatest Common Factor of 4667,4825 By Matching Biggest Common Factor Method

Factors of 4667

List of positive integer factors of 4667 that divides 4667 without a remainder.

1,13,359,4667

Factors of 4825

List of positive integer factors of 4825 that divides 4825 without a remainder.

1,5,25,193,965,4825

Greatest Common Factor

We found the factors 4667,4825 . The biggest common factor number is the GCF number.
So the greatest common factor 4667,4825 is 1.

Lets's calculate LCM of 750,217

Given numbers has no common factors except 1. So, there LCM is their product i.e 162750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/162750

Therefore, the GCF of Fractions 4667/750,4825/217 is 1/162750

Least Common Multiple of 750,217 with GCF Formula

Least Common Multiple of 750,217 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 750,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(750,217) = 1

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

GCF(750,217) x common factors =1 x 1 = 1

LCM(750,217) = ( 750 × 217 ) / 1

LCM(750,217) = 162750 / 1

LCM(750,217) = 162750


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 4667/750, 4825/217

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 4667/750, 4825/217?

Answer: GCF of Numerators as per given numbers 4667/750, 4825/217 is

GCF of Numerators i.e. for 4667,4825 is 1

LCM of denominators i.e. for 750,217 is 162750.

Thus, GCF of Fractions is 1/162750.Finally, GCF of Fractions for 4667/750, 4825/217 is 1/162750.