Greatest Common Factor of 38/35, 440/65, 180/502

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 38/35, 440/65, 180/502

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 38/35,440/65,180/502

Given fractions are 38/35,440/65,180/502

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 38,440,180

Greatest Common Factor of Numerators i.e. GCF of 38,440,180 is 2 .

LCM of Denominators means LCM of 35,65,502 as per the given fractions.

LCM of 35,65,502 is 228410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 38,440,180

GCF of Fractions 38/35,440/65,180/502 is 2/228410

2 38, 440, 180
19, 220, 90

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 38,440,180 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,440,180 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 180

List of positive integer factors of 180 that divides 180 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,60,90,180

Greatest Common Factor

We found the factors 38,440,180 . The biggest common factor number is the GCF number.
So the greatest common factor 38,440,180 is 2.

Lets's calculate LCM of 35,65,502

5 35, 65, 502
7, 13, 502

∴ So the LCM of the given numbers is 5 x 7 x 13 x 502 = 228410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/228410

Therefore, the GCF of Fractions 38/35,440/65,180/502 is 2/228410

Least Common Multiple of 35,65,502 with GCF Formula

Least Common Multiple of 35,65,502 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 35,65,502 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,65,502) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(35,65,502) x common factors =1 x 5 = 5

LCM(35,65,502) = ( 35 × 65 × 502 ) / 5

LCM(35,65,502) = 1142050 / 5

LCM(35,65,502) = 228410


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 38/35, 440/65, 180/502

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 38/35, 440/65, 180/502?

Answer: GCF of Numerators as per given numbers 38/35, 440/65, 180/502 is

GCF of Numerators i.e. for 38,440,180 is 2

LCM of denominators i.e. for 35,65,502 is 228410.

Thus, GCF of Fractions is 2/228410.Finally, GCF of Fractions for 38/35, 440/65, 180/502 is 2/228410.