Greatest Common Factor of 628/92, 313/60, 413/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 628/92, 313/60, 413/61

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 628/92,313/60,413/61

Given fractions are 628/92,313/60,413/61

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 628,313,413

Greatest Common Factor of Numerators i.e. GCF of 628,313,413 is 1 .

LCM of Denominators means LCM of 92,60,61 as per the given fractions.

LCM of 92,60,61 is 84180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 628,313,413

GCF of Fractions 628/92,313/60,413/61 is 1/84180

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

Greatest Common Factor of 628,313,413 By Matching Biggest Common Factor Method

Greatest Common Factor of 628,313,413 By Matching Biggest Common Factor Method

Factors of 628

List of positive integer factors of 628 that divides 628 without a remainder.

1,2,4,157,314,628

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Factors of 413

List of positive integer factors of 413 that divides 413 without a remainder.

1,7,59,413

Greatest Common Factor

We found the factors 628,313,413 . The biggest common factor number is the GCF number.
So the greatest common factor 628,313,413 is 1.

Lets's calculate LCM of 92,60,61

2 92, 60, 61
2 46, 30, 61
23, 15, 61

∴ So the LCM of the given numbers is 2 x 2 x 23 x 15 x 61 = 84180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84180

Therefore, the GCF of Fractions 628/92,313/60,413/61 is 1/84180

Least Common Multiple of 92,60,61 with GCF Formula

Least Common Multiple of 92,60,61 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 92,60,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,60,61) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(92,60,61) x common factors =1 x 4 = 4

LCM(92,60,61) = ( 92 × 60 × 61 ) / 4

LCM(92,60,61) = 336720 / 4

LCM(92,60,61) = 84180


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 628/92, 313/60, 413/61

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 628/92, 313/60, 413/61?

Answer: GCF of Numerators as per given numbers 628/92, 313/60, 413/61 is

GCF of Numerators i.e. for 628,313,413 is 1

LCM of denominators i.e. for 92,60,61 is 84180.

Thus, GCF of Fractions is 1/84180.Finally, GCF of Fractions for 628/92, 313/60, 413/61 is 1/84180.