Greatest Common Factor of 68/10, 73/66, 914/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/10, 73/66, 914/577

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 68/10,73/66,914/577

Given fractions are 68/10,73/66,914/577

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 68,73,914

Greatest Common Factor of Numerators i.e. GCF of 68,73,914 is 1 .

LCM of Denominators means LCM of 10,66,577 as per the given fractions.

LCM of 10,66,577 is 190410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,73,914

GCF of Fractions 68/10,73/66,914/577 is 1/190410

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

Greatest Common Factor of 68,73,914 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,73,914 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 914

List of positive integer factors of 914 that divides 914 without a remainder.

1,2,457,914

Greatest Common Factor

We found the factors 68,73,914 . The biggest common factor number is the GCF number.
So the greatest common factor 68,73,914 is 1.

Lets's calculate LCM of 10,66,577

2 10, 66, 577
5, 33, 577

∴ So the LCM of the given numbers is 2 x 5 x 33 x 577 = 190410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190410

Therefore, the GCF of Fractions 68/10,73/66,914/577 is 1/190410

Least Common Multiple of 10,66,577 with GCF Formula

Least Common Multiple of 10,66,577 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 10,66,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,66,577) = 1

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

GCF(10,66,577) x common factors =1 x 2 = 2

LCM(10,66,577) = ( 10 × 66 × 577 ) / 2

LCM(10,66,577) = 380820 / 2

LCM(10,66,577) = 190410


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 68/10, 73/66, 914/577

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 68/10, 73/66, 914/577?

Answer: GCF of Numerators as per given numbers 68/10, 73/66, 914/577 is

GCF of Numerators i.e. for 68,73,914 is 1

LCM of denominators i.e. for 10,66,577 is 190410.

Thus, GCF of Fractions is 1/190410.Finally, GCF of Fractions for 68/10, 73/66, 914/577 is 1/190410.