Greatest Common Factor of 3570/40, 3730/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3570/40, 3730/369

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 3570/40,3730/369

Given fractions are 3570/40,3730/369

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 3570,3730

Greatest Common Factor of Numerators i.e. GCF of 3570,3730 is 10 .

LCM of Denominators means LCM of 40,369 as per the given fractions.

LCM of 40,369 is 14760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3570,3730

GCF of Fractions 3570/40,3730/369 is 10/14760

2 3570, 3730
5 1785, 1865
357, 373

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 3570,3730 By Matching Biggest Common Factor Method

Greatest Common Factor of 3570,3730 By Matching Biggest Common Factor Method

Factors of 3570

List of positive integer factors of 3570 that divides 3570 without a remainder.

1,2,3,5,6,7,10,14,15,17,21,30,34,35,42,51,70,85,102,105,119,170,210,238,255,357,510,595,714,1190,1785,3570

Factors of 3730

List of positive integer factors of 3730 that divides 3730 without a remainder.

1,2,5,10,373,746,1865,3730

Greatest Common Factor

We found the factors 3570,3730 . The biggest common factor number is the GCF number.
So the greatest common factor 3570,3730 is 10.

Lets's calculate LCM of 40,369

Given numbers has no common factors except 1. So, there LCM is their product i.e 14760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/14760

Therefore, the GCF of Fractions 3570/40,3730/369 is 10/14760

Least Common Multiple of 40,369 with GCF Formula

Least Common Multiple of 40,369 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 40,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,369) = 1

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

GCF(40,369) x common factors =1 x 1 = 1

LCM(40,369) = ( 40 × 369 ) / 1

LCM(40,369) = 14760 / 1

LCM(40,369) = 14760


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 3570/40, 3730/369

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 3570/40, 3730/369?

Answer: GCF of Numerators as per given numbers 3570/40, 3730/369 is

GCF of Numerators i.e. for 3570,3730 is 10

LCM of denominators i.e. for 40,369 is 14760.

Thus, GCF of Fractions is 10/14760.Finally, GCF of Fractions for 3570/40, 3730/369 is 10/14760.