Greatest Common Factor of 3855/672, 4370/2190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3855/672, 4370/2190

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 3855/672,4370/2190

Given fractions are 3855/672,4370/2190

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 3855,4370

Greatest Common Factor of Numerators i.e. GCF of 3855,4370 is 5 .

LCM of Denominators means LCM of 672,2190 as per the given fractions.

LCM of 672,2190 is 245280 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3855,4370

GCF of Fractions 3855/672,4370/2190 is 5/245280

5 3855, 4370
771, 874

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3855,4370 By Matching Biggest Common Factor Method

Greatest Common Factor of 3855,4370 By Matching Biggest Common Factor Method

Factors of 3855

List of positive integer factors of 3855 that divides 3855 without a remainder.

1,3,5,15,257,771,1285,3855

Factors of 4370

List of positive integer factors of 4370 that divides 4370 without a remainder.

1,2,5,10,19,23,38,46,95,115,190,230,437,874,2185,4370

Greatest Common Factor

We found the factors 3855,4370 . The biggest common factor number is the GCF number.
So the greatest common factor 3855,4370 is 5.

Lets's calculate LCM of 672,2190

2 672, 2190
3 336, 1095
112, 365

∴ So the LCM of the given numbers is 2 x 3 x 112 x 365 = 245280

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/245280

Therefore, the GCF of Fractions 3855/672,4370/2190 is 5/245280

Least Common Multiple of 672,2190 with GCF Formula

Least Common Multiple of 672,2190 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 672,2190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(672,2190) = 6

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

GCF(672,2190) x common factors =6 x 1 = 6

LCM(672,2190) = ( 672 × 2190 ) / 6

LCM(672,2190) = 1471680 / 6

LCM(672,2190) = 245280


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 3855/672, 4370/2190

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 3855/672, 4370/2190?

Answer: GCF of Numerators as per given numbers 3855/672, 4370/2190 is

GCF of Numerators i.e. for 3855,4370 is 5

LCM of denominators i.e. for 672,2190 is 245280.

Thus, GCF of Fractions is 5/245280.Finally, GCF of Fractions for 3855/672, 4370/2190 is 5/245280.