Greatest Common Factor of 266/685, 608/752, 428/540

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 266/685, 608/752, 428/540

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 266/685,608/752,428/540

Given fractions are 266/685,608/752,428/540

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 266,608,428

Greatest Common Factor of Numerators i.e. GCF of 266,608,428 is 2 .

LCM of Denominators means LCM of 685,752,540 as per the given fractions.

LCM of 685,752,540 is 13908240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 266,608,428

GCF of Fractions 266/685,608/752,428/540 is 2/13908240

2 266, 608, 428
133, 304, 214

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 266,608,428 By Matching Biggest Common Factor Method

Greatest Common Factor of 266,608,428 By Matching Biggest Common Factor Method

Factors of 266

List of positive integer factors of 266 that divides 266 without a remainder.

1,2,7,14,19,38,133,266

Factors of 608

List of positive integer factors of 608 that divides 608 without a remainder.

1,2,4,8,16,19,32,38,76,152,304,608

Factors of 428

List of positive integer factors of 428 that divides 428 without a remainder.

1,2,4,107,214,428

Greatest Common Factor

We found the factors 266,608,428 . The biggest common factor number is the GCF number.
So the greatest common factor 266,608,428 is 2.

Lets's calculate LCM of 685,752,540

2 685, 752, 540
2 685, 376, 270
5 685, 188, 135
137, 188, 27

∴ So the LCM of the given numbers is 2 x 2 x 5 x 137 x 188 x 27 = 13908240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13908240

Therefore, the GCF of Fractions 266/685,608/752,428/540 is 2/13908240

Least Common Multiple of 685,752,540 with GCF Formula

Least Common Multiple of 685,752,540 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 685,752,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(685,752,540) = 1

common factors(in case of two or more numbers have common factors) = 20

GCF(685,752,540) x common factors =1 x 20 = 20

LCM(685,752,540) = ( 685 × 752 × 540 ) / 20

LCM(685,752,540) = 278164800 / 20

LCM(685,752,540) = 13908240


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 266/685, 608/752, 428/540

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 266/685, 608/752, 428/540?

Answer: GCF of Numerators as per given numbers 266/685, 608/752, 428/540 is

GCF of Numerators i.e. for 266,608,428 is 2

LCM of denominators i.e. for 685,752,540 is 13908240.

Thus, GCF of Fractions is 2/13908240.Finally, GCF of Fractions for 266/685, 608/752, 428/540 is 2/13908240.