Greatest Common Factor of 767/689, 710/335, 549/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 767/689, 710/335, 549/556

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 767/689,710/335,549/556

Given fractions are 767/689,710/335,549/556

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 767,710,549

Greatest Common Factor of Numerators i.e. GCF of 767,710,549 is 1 .

LCM of Denominators means LCM of 689,335,556 as per the given fractions.

LCM of 689,335,556 is 128333140 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 767,710,549

GCF of Fractions 767/689,710/335,549/556 is 1/128333140

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

Greatest Common Factor of 767,710,549 By Matching Biggest Common Factor Method

Greatest Common Factor of 767,710,549 By Matching Biggest Common Factor Method

Factors of 767

List of positive integer factors of 767 that divides 767 without a remainder.

1,13,59,767

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 549

List of positive integer factors of 549 that divides 549 without a remainder.

1,3,9,61,183,549

Greatest Common Factor

We found the factors 767,710,549 . The biggest common factor number is the GCF number.
So the greatest common factor 767,710,549 is 1.

Lets's calculate LCM of 689,335,556

Given numbers has no common factors except 1. So, there LCM is their product i.e 128333140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/128333140

Therefore, the GCF of Fractions 767/689,710/335,549/556 is 1/128333140

Least Common Multiple of 689,335,556 with GCF Formula

Least Common Multiple of 689,335,556 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 689,335,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,335,556) = 1

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

GCF(689,335,556) x common factors =1 x 1 = 1

LCM(689,335,556) = ( 689 × 335 × 556 ) / 1

LCM(689,335,556) = 128333140 / 1

LCM(689,335,556) = 128333140


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 767/689, 710/335, 549/556

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 767/689, 710/335, 549/556?

Answer: GCF of Numerators as per given numbers 767/689, 710/335, 549/556 is

GCF of Numerators i.e. for 767,710,549 is 1

LCM of denominators i.e. for 689,335,556 is 128333140.

Thus, GCF of Fractions is 1/128333140.Finally, GCF of Fractions for 767/689, 710/335, 549/556 is 1/128333140.