Greatest Common Factor of 3525/361, 6600/2258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3525/361, 6600/2258

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 3525/361,6600/2258

Given fractions are 3525/361,6600/2258

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 3525,6600

Greatest Common Factor of Numerators i.e. GCF of 3525,6600 is 75 .

LCM of Denominators means LCM of 361,2258 as per the given fractions.

LCM of 361,2258 is 815138 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3525,6600

GCF of Fractions 3525/361,6600/2258 is 75/815138

3 3525, 6600
5 1175, 2200
5 235, 440
47, 88

∴ So the GCF of the given numbers is 3 x 5 x 5 = 75

Greatest Common Factor of 3525,6600 By Matching Biggest Common Factor Method

Greatest Common Factor of 3525,6600 By Matching Biggest Common Factor Method

Factors of 3525

List of positive integer factors of 3525 that divides 3525 without a remainder.

1,3,5,15,25,47,75,141,235,705,1175,3525

Factors of 6600

List of positive integer factors of 6600 that divides 6600 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,20,22,24,25,30,33,40,44,50,55,60,66,75,88,100,110,120,132,150,165,200,220,264,275,300,330,440,550,600,660,825,1100,1320,1650,2200,3300,6600

Greatest Common Factor

We found the factors 3525,6600 . The biggest common factor number is the GCF number.
So the greatest common factor 3525,6600 is 75.

Lets's calculate LCM of 361,2258

Given numbers has no common factors except 1. So, there LCM is their product i.e 815138

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 75/815138

Therefore, the GCF of Fractions 3525/361,6600/2258 is 75/815138

Least Common Multiple of 361,2258 with GCF Formula

Least Common Multiple of 361,2258 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 361,2258 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,2258) = 1

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

GCF(361,2258) x common factors =1 x 1 = 1

LCM(361,2258) = ( 361 × 2258 ) / 1

LCM(361,2258) = 815138 / 1

LCM(361,2258) = 815138


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 3525/361, 6600/2258

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 3525/361, 6600/2258?

Answer: GCF of Numerators as per given numbers 3525/361, 6600/2258 is

GCF of Numerators i.e. for 3525,6600 is 75

LCM of denominators i.e. for 361,2258 is 815138.

Thus, GCF of Fractions is 75/815138.Finally, GCF of Fractions for 3525/361, 6600/2258 is 75/815138.