Greatest Common Factor of 1/65, 73/42, 14/195, 753/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/65, 73/42, 14/195, 753/697

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 1/65,73/42,14/195,753/697

Given fractions are 1/65,73/42,14/195,753/697

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 1,73,14,753

Greatest Common Factor of Numerators i.e. GCF of 1,73,14,753 is 1 .

LCM of Denominators means LCM of 65,42,195,697 as per the given fractions.

LCM of 65,42,195,697 is 1902810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,73,14,753

GCF of Fractions 1/65,73/42,14/195,753/697 is 1/1902810

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

Greatest Common Factor of 1,73,14,753 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,73,14,753 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 73

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

1,73

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 753

List of positive integer factors of 753 that divides 753 without a remainder.

1,3,251,753

Greatest Common Factor

We found the factors 1,73,14,753 . The biggest common factor number is the GCF number.
So the greatest common factor 1,73,14,753 is 1.

Lets's calculate LCM of 65,42,195,697

3 65, 42, 195, 697
5 65, 14, 65, 697
13 13, 14, 13, 697
1, 14, 1, 697

∴ So the LCM of the given numbers is 3 x 5 x 13 x 1 x 14 x 1 x 697 = 1902810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1902810

Therefore, the GCF of Fractions 1/65,73/42,14/195,753/697 is 1/1902810

Least Common Multiple of 65,42,195,697 with GCF Formula

Least Common Multiple of 65,42,195,697 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 65,42,195,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,42,195,697) = 1

common factors(in case of two or more numbers have common factors) = 195

GCF(65,42,195,697) x common factors =1 x 195 = 195

LCM(65,42,195,697) = ( 65 × 42 × 195 × 697 ) / 195

LCM(65,42,195,697) = 371047950 / 195

LCM(65,42,195,697) = 1902810


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 1/65, 73/42, 14/195, 753/697

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 1/65, 73/42, 14/195, 753/697?

Answer: GCF of Numerators as per given numbers 1/65, 73/42, 14/195, 753/697 is

GCF of Numerators i.e. for 1,73,14,753 is 1

LCM of denominators i.e. for 65,42,195,697 is 1902810.

Thus, GCF of Fractions is 1/1902810.Finally, GCF of Fractions for 1/65, 73/42, 14/195, 753/697 is 1/1902810.