Greatest Common Factor of 4807/77, 7245/100

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4807/77, 7245/100

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 4807/77,7245/100

Given fractions are 4807/77,7245/100

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 4807,7245

Greatest Common Factor of Numerators i.e. GCF of 4807,7245 is 23 .

LCM of Denominators means LCM of 77,100 as per the given fractions.

LCM of 77,100 is 7700 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4807,7245

GCF of Fractions 4807/77,7245/100 is 23/7700

23 4807, 7245
209, 315

∴ So the GCF of the given numbers is 23 = 23

Greatest Common Factor of 4807,7245 By Matching Biggest Common Factor Method

Greatest Common Factor of 4807,7245 By Matching Biggest Common Factor Method

Factors of 4807

List of positive integer factors of 4807 that divides 4807 without a remainder.

1,11,19,23,209,253,437,4807

Factors of 7245

List of positive integer factors of 7245 that divides 7245 without a remainder.

1,3,5,7,9,15,21,23,35,45,63,69,105,115,161,207,315,345,483,805,1035,1449,2415,7245

Greatest Common Factor

We found the factors 4807,7245 . The biggest common factor number is the GCF number.
So the greatest common factor 4807,7245 is 23.

Lets's calculate LCM of 77,100

Given numbers has no common factors except 1. So, there LCM is their product i.e 7700

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/7700

Therefore, the GCF of Fractions 4807/77,7245/100 is 23/7700

Least Common Multiple of 77,100 with GCF Formula

Least Common Multiple of 77,100 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 77,100 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,100) = 1

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

GCF(77,100) x common factors =1 x 1 = 1

LCM(77,100) = ( 77 × 100 ) / 1

LCM(77,100) = 7700 / 1

LCM(77,100) = 7700


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 4807/77, 7245/100

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 4807/77, 7245/100?

Answer: GCF of Numerators as per given numbers 4807/77, 7245/100 is

GCF of Numerators i.e. for 4807,7245 is 23

LCM of denominators i.e. for 77,100 is 7700.

Thus, GCF of Fractions is 23/7700.Finally, GCF of Fractions for 4807/77, 7245/100 is 23/7700.