Greatest Common Factor of 773/739, 735/463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 773/739, 735/463

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 773/739,735/463

Given fractions are 773/739,735/463

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 773,735

Greatest Common Factor of Numerators i.e. GCF of 773,735 is 1 .

LCM of Denominators means LCM of 739,463 as per the given fractions.

LCM of 739,463 is 342157 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 773,735

GCF of Fractions 773/739,735/463 is 1/342157

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

Greatest Common Factor of 773,735 By Matching Biggest Common Factor Method

Greatest Common Factor of 773,735 By Matching Biggest Common Factor Method

Factors of 773

List of positive integer factors of 773 that divides 773 without a remainder.

1,773

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Greatest Common Factor

We found the factors 773,735 . The biggest common factor number is the GCF number.
So the greatest common factor 773,735 is 1.

Lets's calculate LCM of 739,463

Given numbers has no common factors except 1. So, there LCM is their product i.e 342157

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/342157

Therefore, the GCF of Fractions 773/739,735/463 is 1/342157

Least Common Multiple of 739,463 with GCF Formula

Least Common Multiple of 739,463 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 739,463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(739,463) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(739,463) x common factors =1 x 1 = 1

LCM(739,463) = ( 739 × 463 ) / 1

LCM(739,463) = 342157 / 1

LCM(739,463) = 342157


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 773/739, 735/463

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 773/739, 735/463?

Answer: GCF of Numerators as per given numbers 773/739, 735/463 is

GCF of Numerators i.e. for 773,735 is 1

LCM of denominators i.e. for 739,463 is 342157.

Thus, GCF of Fractions is 1/342157.Finally, GCF of Fractions for 773/739, 735/463 is 1/342157.