Greatest Common Factor of 67/77, 219/12, 810/747

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 67/77, 219/12, 810/747

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 67/77,219/12,810/747

Given fractions are 67/77,219/12,810/747

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 67,219,810

Greatest Common Factor of Numerators i.e. GCF of 67,219,810 is 1 .

LCM of Denominators means LCM of 77,12,747 as per the given fractions.

LCM of 77,12,747 is 230076 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 67,219,810

GCF of Fractions 67/77,219/12,810/747 is 1/230076

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

Greatest Common Factor of 67,219,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,219,810 By Matching Biggest Common Factor Method

Factors of 67

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

1,67

Factors of 219

List of positive integer factors of 219 that divides 219 without a remainder.

1,3,73,219

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 67,219,810 . The biggest common factor number is the GCF number.
So the greatest common factor 67,219,810 is 1.

Lets's calculate LCM of 77,12,747

3 77, 12, 747
77, 4, 249

∴ So the LCM of the given numbers is 3 x 77 x 4 x 249 = 230076

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/230076

Therefore, the GCF of Fractions 67/77,219/12,810/747 is 1/230076

Least Common Multiple of 77,12,747 with GCF Formula

Least Common Multiple of 77,12,747 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 77,12,747 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,12,747) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(77,12,747) x common factors =1 x 3 = 3

LCM(77,12,747) = ( 77 × 12 × 747 ) / 3

LCM(77,12,747) = 690228 / 3

LCM(77,12,747) = 230076


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 67/77, 219/12, 810/747

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 67/77, 219/12, 810/747?

Answer: GCF of Numerators as per given numbers 67/77, 219/12, 810/747 is

GCF of Numerators i.e. for 67,219,810 is 1

LCM of denominators i.e. for 77,12,747 is 230076.

Thus, GCF of Fractions is 1/230076.Finally, GCF of Fractions for 67/77, 219/12, 810/747 is 1/230076.