Greatest Common Factor of 705/53, 568/66, 769/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 705/53, 568/66, 769/553

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 705/53,568/66,769/553

Given fractions are 705/53,568/66,769/553

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 705,568,769

Greatest Common Factor of Numerators i.e. GCF of 705,568,769 is 1 .

LCM of Denominators means LCM of 53,66,553 as per the given fractions.

LCM of 53,66,553 is 1934394 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 705,568,769

GCF of Fractions 705/53,568/66,769/553 is 1/1934394

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

Greatest Common Factor of 705,568,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 705,568,769 By Matching Biggest Common Factor Method

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Factors of 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 705,568,769 . The biggest common factor number is the GCF number.
So the greatest common factor 705,568,769 is 1.

Lets's calculate LCM of 53,66,553

Given numbers has no common factors except 1. So, there LCM is their product i.e 1934394

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1934394

Therefore, the GCF of Fractions 705/53,568/66,769/553 is 1/1934394

Least Common Multiple of 53,66,553 with GCF Formula

Least Common Multiple of 53,66,553 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 53,66,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,66,553) = 1

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

GCF(53,66,553) x common factors =1 x 1 = 1

LCM(53,66,553) = ( 53 × 66 × 553 ) / 1

LCM(53,66,553) = 1934394 / 1

LCM(53,66,553) = 1934394


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 705/53, 568/66, 769/553

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 705/53, 568/66, 769/553?

Answer: GCF of Numerators as per given numbers 705/53, 568/66, 769/553 is

GCF of Numerators i.e. for 705,568,769 is 1

LCM of denominators i.e. for 53,66,553 is 1934394.

Thus, GCF of Fractions is 1/1934394.Finally, GCF of Fractions for 705/53, 568/66, 769/553 is 1/1934394.