Greatest Common Factor of 5925/35, 6468/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5925/35, 6468/533

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 5925/35,6468/533

Given fractions are 5925/35,6468/533

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 5925,6468

Greatest Common Factor of Numerators i.e. GCF of 5925,6468 is 3 .

LCM of Denominators means LCM of 35,533 as per the given fractions.

LCM of 35,533 is 18655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5925,6468

GCF of Fractions 5925/35,6468/533 is 3/18655

3 5925, 6468
1975, 2156

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5925,6468 By Matching Biggest Common Factor Method

Greatest Common Factor of 5925,6468 By Matching Biggest Common Factor Method

Factors of 5925

List of positive integer factors of 5925 that divides 5925 without a remainder.

1,3,5,15,25,75,79,237,395,1185,1975,5925

Factors of 6468

List of positive integer factors of 6468 that divides 6468 without a remainder.

1,2,3,4,6,7,11,12,14,21,22,28,33,42,44,49,66,77,84,98,132,147,154,196,231,294,308,462,539,588,924,1078,1617,2156,3234,6468

Greatest Common Factor

We found the factors 5925,6468 . The biggest common factor number is the GCF number.
So the greatest common factor 5925,6468 is 3.

Lets's calculate LCM of 35,533

Given numbers has no common factors except 1. So, there LCM is their product i.e 18655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18655

Therefore, the GCF of Fractions 5925/35,6468/533 is 3/18655

Least Common Multiple of 35,533 with GCF Formula

Least Common Multiple of 35,533 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 35,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,533) = 1

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

GCF(35,533) x common factors =1 x 1 = 1

LCM(35,533) = ( 35 × 533 ) / 1

LCM(35,533) = 18655 / 1

LCM(35,533) = 18655


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 5925/35, 6468/533

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 5925/35, 6468/533?

Answer: GCF of Numerators as per given numbers 5925/35, 6468/533 is

GCF of Numerators i.e. for 5925,6468 is 3

LCM of denominators i.e. for 35,533 is 18655.

Thus, GCF of Fractions is 3/18655.Finally, GCF of Fractions for 5925/35, 6468/533 is 3/18655.