Greatest Common Factor of 685/282, 262/265, 623/755

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 685/282, 262/265, 623/755

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 685/282,262/265,623/755

Given fractions are 685/282,262/265,623/755

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 685,262,623

Greatest Common Factor of Numerators i.e. GCF of 685,262,623 is 1 .

LCM of Denominators means LCM of 282,265,755 as per the given fractions.

LCM of 282,265,755 is 11284230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 685,262,623

GCF of Fractions 685/282,262/265,623/755 is 1/11284230

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

Greatest Common Factor of 685,262,623 By Matching Biggest Common Factor Method

Greatest Common Factor of 685,262,623 By Matching Biggest Common Factor Method

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Greatest Common Factor

We found the factors 685,262,623 . The biggest common factor number is the GCF number.
So the greatest common factor 685,262,623 is 1.

Lets's calculate LCM of 282,265,755

5 282, 265, 755
282, 53, 151

∴ So the LCM of the given numbers is 5 x 282 x 53 x 151 = 11284230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11284230

Therefore, the GCF of Fractions 685/282,262/265,623/755 is 1/11284230

Least Common Multiple of 282,265,755 with GCF Formula

Least Common Multiple of 282,265,755 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 282,265,755 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(282,265,755) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(282,265,755) x common factors =1 x 5 = 5

LCM(282,265,755) = ( 282 × 265 × 755 ) / 5

LCM(282,265,755) = 56421150 / 5

LCM(282,265,755) = 11284230


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 685/282, 262/265, 623/755

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 685/282, 262/265, 623/755?

Answer: GCF of Numerators as per given numbers 685/282, 262/265, 623/755 is

GCF of Numerators i.e. for 685,262,623 is 1

LCM of denominators i.e. for 282,265,755 is 11284230.

Thus, GCF of Fractions is 1/11284230.Finally, GCF of Fractions for 685/282, 262/265, 623/755 is 1/11284230.