Greatest Common Factor of 8272/24, 1700/595

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8272/24, 1700/595

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 8272/24,1700/595

Given fractions are 8272/24,1700/595

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 8272,1700

Greatest Common Factor of Numerators i.e. GCF of 8272,1700 is 4 .

LCM of Denominators means LCM of 24,595 as per the given fractions.

LCM of 24,595 is 14280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8272,1700

GCF of Fractions 8272/24,1700/595 is 4/14280

2 8272, 1700
2 4136, 850
2068, 425

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 8272,1700 By Matching Biggest Common Factor Method

Greatest Common Factor of 8272,1700 By Matching Biggest Common Factor Method

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Factors of 1700

List of positive integer factors of 1700 that divides 1700 without a remainder.

1,2,4,5,10,17,20,25,34,50,68,85,100,170,340,425,850,1700

Greatest Common Factor

We found the factors 8272,1700 . The biggest common factor number is the GCF number.
So the greatest common factor 8272,1700 is 4.

Lets's calculate LCM of 24,595

Given numbers has no common factors except 1. So, there LCM is their product i.e 14280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/14280

Therefore, the GCF of Fractions 8272/24,1700/595 is 4/14280

Least Common Multiple of 24,595 with GCF Formula

Least Common Multiple of 24,595 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 24,595 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,595) = 1

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

GCF(24,595) x common factors =1 x 1 = 1

LCM(24,595) = ( 24 × 595 ) / 1

LCM(24,595) = 14280 / 1

LCM(24,595) = 14280


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 8272/24, 1700/595

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 8272/24, 1700/595?

Answer: GCF of Numerators as per given numbers 8272/24, 1700/595 is

GCF of Numerators i.e. for 8272,1700 is 4

LCM of denominators i.e. for 24,595 is 14280.

Thus, GCF of Fractions is 4/14280.Finally, GCF of Fractions for 8272/24, 1700/595 is 4/14280.