Greatest Common Factor of 30/77, 67/38, 612/98

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 30/77, 67/38, 612/98

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 30/77,67/38,612/98

Given fractions are 30/77,67/38,612/98

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 30,67,612

Greatest Common Factor of Numerators i.e. GCF of 30,67,612 is 1 .

LCM of Denominators means LCM of 77,38,98 as per the given fractions.

LCM of 77,38,98 is 20482 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 30,67,612

GCF of Fractions 30/77,67/38,612/98 is 1/20482

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

Greatest Common Factor of 30,67,612 By Matching Biggest Common Factor Method

Greatest Common Factor of 30,67,612 By Matching Biggest Common Factor Method

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Greatest Common Factor

We found the factors 30,67,612 . The biggest common factor number is the GCF number.
So the greatest common factor 30,67,612 is 1.

Lets's calculate LCM of 77,38,98

2 77, 38, 98
7 77, 19, 49
11, 19, 7

∴ So the LCM of the given numbers is 2 x 7 x 11 x 19 x 7 = 20482

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/20482

Therefore, the GCF of Fractions 30/77,67/38,612/98 is 1/20482

Least Common Multiple of 77,38,98 with GCF Formula

Least Common Multiple of 77,38,98 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 77,38,98 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,38,98) = 1

common factors(in case of two or more numbers have common factors) = 14

GCF(77,38,98) x common factors =1 x 14 = 14

LCM(77,38,98) = ( 77 × 38 × 98 ) / 14

LCM(77,38,98) = 286748 / 14

LCM(77,38,98) = 20482


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 30/77, 67/38, 612/98

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 30/77, 67/38, 612/98?

Answer: GCF of Numerators as per given numbers 30/77, 67/38, 612/98 is

GCF of Numerators i.e. for 30,67,612 is 1

LCM of denominators i.e. for 77,38,98 is 20482.

Thus, GCF of Fractions is 1/20482.Finally, GCF of Fractions for 30/77, 67/38, 612/98 is 1/20482.