Greatest Common Factor of 8228/525, 4965/5956

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8228/525, 4965/5956

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 8228/525,4965/5956

Given fractions are 8228/525,4965/5956

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 8228,4965

Greatest Common Factor of Numerators i.e. GCF of 8228,4965 is 1 .

LCM of Denominators means LCM of 525,5956 as per the given fractions.

LCM of 525,5956 is 3126900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8228,4965

GCF of Fractions 8228/525,4965/5956 is 1/3126900

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

Greatest Common Factor of 8228,4965 By Matching Biggest Common Factor Method

Greatest Common Factor of 8228,4965 By Matching Biggest Common Factor Method

Factors of 8228

List of positive integer factors of 8228 that divides 8228 without a remainder.

1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228

Factors of 4965

List of positive integer factors of 4965 that divides 4965 without a remainder.

1,3,5,15,331,993,1655,4965

Greatest Common Factor

We found the factors 8228,4965 . The biggest common factor number is the GCF number.
So the greatest common factor 8228,4965 is 1.

Lets's calculate LCM of 525,5956

Given numbers has no common factors except 1. So, there LCM is their product i.e 3126900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3126900

Therefore, the GCF of Fractions 8228/525,4965/5956 is 1/3126900

Least Common Multiple of 525,5956 with GCF Formula

Least Common Multiple of 525,5956 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 525,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,5956) = 1

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

GCF(525,5956) x common factors =1 x 1 = 1

LCM(525,5956) = ( 525 × 5956 ) / 1

LCM(525,5956) = 3126900 / 1

LCM(525,5956) = 3126900


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 8228/525, 4965/5956

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 8228/525, 4965/5956?

Answer: GCF of Numerators as per given numbers 8228/525, 4965/5956 is

GCF of Numerators i.e. for 8228,4965 is 1

LCM of denominators i.e. for 525,5956 is 3126900.

Thus, GCF of Fractions is 1/3126900.Finally, GCF of Fractions for 8228/525, 4965/5956 is 1/3126900.