Greatest Common Factor of 101/74, 740/59, 286/630

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 101/74, 740/59, 286/630

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 101/74,740/59,286/630

Given fractions are 101/74,740/59,286/630

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 101,740,286

Greatest Common Factor of Numerators i.e. GCF of 101,740,286 is 1 .

LCM of Denominators means LCM of 74,59,630 as per the given fractions.

LCM of 74,59,630 is 1375290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 101,740,286

GCF of Fractions 101/74,740/59,286/630 is 1/1375290

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

Greatest Common Factor of 101,740,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 101,740,286 By Matching Biggest Common Factor Method

Factors of 101

List of positive integer factors of 101 that divides 101 without a remainder.

1,101

Factors of 740

List of positive integer factors of 740 that divides 740 without a remainder.

1,2,4,5,10,20,37,74,148,185,370,740

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 101,740,286 . The biggest common factor number is the GCF number.
So the greatest common factor 101,740,286 is 1.

Lets's calculate LCM of 74,59,630

2 74, 59, 630
37, 59, 315

∴ So the LCM of the given numbers is 2 x 37 x 59 x 315 = 1375290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1375290

Therefore, the GCF of Fractions 101/74,740/59,286/630 is 1/1375290

Least Common Multiple of 74,59,630 with GCF Formula

Least Common Multiple of 74,59,630 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 74,59,630 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,59,630) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(74,59,630) x common factors =1 x 2 = 2

LCM(74,59,630) = ( 74 × 59 × 630 ) / 2

LCM(74,59,630) = 2750580 / 2

LCM(74,59,630) = 1375290


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 101/74, 740/59, 286/630

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 101/74, 740/59, 286/630?

Answer: GCF of Numerators as per given numbers 101/74, 740/59, 286/630 is

GCF of Numerators i.e. for 101,740,286 is 1

LCM of denominators i.e. for 74,59,630 is 1375290.

Thus, GCF of Fractions is 1/1375290.Finally, GCF of Fractions for 101/74, 740/59, 286/630 is 1/1375290.