Greatest Common Factor of 710/40, 936/53, 526/234

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/40, 936/53, 526/234

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 710/40,936/53,526/234

Given fractions are 710/40,936/53,526/234

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 710,936,526

Greatest Common Factor of Numerators i.e. GCF of 710,936,526 is 2 .

LCM of Denominators means LCM of 40,53,234 as per the given fractions.

LCM of 40,53,234 is 248040 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,936,526

GCF of Fractions 710/40,936/53,526/234 is 2/248040

2 710, 936, 526
355, 468, 263

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

Greatest Common Factor of 710,936,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,936,526 By Matching Biggest Common Factor Method

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 936

List of positive integer factors of 936 that divides 936 without a remainder.

1,2,3,4,6,8,9,12,13,18,24,26,36,39,52,72,78,104,117,156,234,312,468,936

Factors of 526

List of positive integer factors of 526 that divides 526 without a remainder.

1,2,263,526

Greatest Common Factor

We found the factors 710,936,526 . The biggest common factor number is the GCF number.
So the greatest common factor 710,936,526 is 2.

Lets's calculate LCM of 40,53,234

2 40, 53, 234
20, 53, 117

∴ So the LCM of the given numbers is 2 x 20 x 53 x 117 = 248040

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/248040

Therefore, the GCF of Fractions 710/40,936/53,526/234 is 2/248040

Least Common Multiple of 40,53,234 with GCF Formula

Least Common Multiple of 40,53,234 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 40,53,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,53,234) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,53,234) x common factors =1 x 2 = 2

LCM(40,53,234) = ( 40 × 53 × 234 ) / 2

LCM(40,53,234) = 496080 / 2

LCM(40,53,234) = 248040


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 710/40, 936/53, 526/234

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 710/40, 936/53, 526/234?

Answer: GCF of Numerators as per given numbers 710/40, 936/53, 526/234 is

GCF of Numerators i.e. for 710,936,526 is 2

LCM of denominators i.e. for 40,53,234 is 248040.

Thus, GCF of Fractions is 2/248040.Finally, GCF of Fractions for 710/40, 936/53, 526/234 is 2/248040.