Greatest Common Factor of 4772/995, 8253/4200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4772/995, 8253/4200

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 4772/995,8253/4200

Given fractions are 4772/995,8253/4200

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 4772,8253

Greatest Common Factor of Numerators i.e. GCF of 4772,8253 is 1 .

LCM of Denominators means LCM of 995,4200 as per the given fractions.

LCM of 995,4200 is 835800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4772,8253

GCF of Fractions 4772/995,8253/4200 is 1/835800

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

Greatest Common Factor of 4772,8253 By Matching Biggest Common Factor Method

Greatest Common Factor of 4772,8253 By Matching Biggest Common Factor Method

Factors of 4772

List of positive integer factors of 4772 that divides 4772 without a remainder.

1,2,4,1193,2386,4772

Factors of 8253

List of positive integer factors of 8253 that divides 8253 without a remainder.

1,3,7,9,21,63,131,393,917,1179,2751,8253

Greatest Common Factor

We found the factors 4772,8253 . The biggest common factor number is the GCF number.
So the greatest common factor 4772,8253 is 1.

Lets's calculate LCM of 995,4200

5 995, 4200
199, 840

∴ So the LCM of the given numbers is 5 x 199 x 840 = 835800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/835800

Therefore, the GCF of Fractions 4772/995,8253/4200 is 1/835800

Least Common Multiple of 995,4200 with GCF Formula

Least Common Multiple of 995,4200 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 995,4200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,4200) = 5

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

GCF(995,4200) x common factors =5 x 1 = 5

LCM(995,4200) = ( 995 × 4200 ) / 5

LCM(995,4200) = 4179000 / 5

LCM(995,4200) = 835800


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 4772/995, 8253/4200

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 4772/995, 8253/4200?

Answer: GCF of Numerators as per given numbers 4772/995, 8253/4200 is

GCF of Numerators i.e. for 4772,8253 is 1

LCM of denominators i.e. for 995,4200 is 835800.

Thus, GCF of Fractions is 1/835800.Finally, GCF of Fractions for 4772/995, 8253/4200 is 1/835800.