Greatest Common Factor of 8740/370, 1621/1675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8740/370, 1621/1675

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 8740/370,1621/1675

Given fractions are 8740/370,1621/1675

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 8740,1621

Greatest Common Factor of Numerators i.e. GCF of 8740,1621 is 1 .

LCM of Denominators means LCM of 370,1675 as per the given fractions.

LCM of 370,1675 is 123950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8740,1621

GCF of Fractions 8740/370,1621/1675 is 1/123950

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 8740,1621 By Matching Biggest Common Factor Method

Greatest Common Factor of 8740,1621 By Matching Biggest Common Factor Method

Factors of 8740

List of positive integer factors of 8740 that divides 8740 without a remainder.

1,2,4,5,10,19,20,23,38,46,76,92,95,115,190,230,380,437,460,874,1748,2185,4370,8740

Factors of 1621

List of positive integer factors of 1621 that divides 1621 without a remainder.

1,1621

Greatest Common Factor

We found the factors 8740,1621 . The biggest common factor number is the GCF number.
So the greatest common factor 8740,1621 is 1.

Lets's calculate LCM of 370,1675

5 370, 1675
74, 335

∴ So the LCM of the given numbers is 5 x 74 x 335 = 123950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123950

Therefore, the GCF of Fractions 8740/370,1621/1675 is 1/123950

Least Common Multiple of 370,1675 with GCF Formula

Least Common Multiple of 370,1675 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 370,1675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,1675) = 5

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

GCF(370,1675) x common factors =5 x 1 = 5

LCM(370,1675) = ( 370 × 1675 ) / 5

LCM(370,1675) = 619750 / 5

LCM(370,1675) = 123950


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 8740/370, 1621/1675

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 8740/370, 1621/1675?

Answer: GCF of Numerators as per given numbers 8740/370, 1621/1675 is

GCF of Numerators i.e. for 8740,1621 is 1

LCM of denominators i.e. for 370,1675 is 123950.

Thus, GCF of Fractions is 1/123950.Finally, GCF of Fractions for 8740/370, 1621/1675 is 1/123950.