Greatest Common Factor of 84/465, 840/110, 526/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 84/465, 840/110, 526/494

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 84/465,840/110,526/494

Given fractions are 84/465,840/110,526/494

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 84,840,526

Greatest Common Factor of Numerators i.e. GCF of 84,840,526 is 2 .

LCM of Denominators means LCM of 465,110,494 as per the given fractions.

LCM of 465,110,494 is 2526810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 84,840,526

GCF of Fractions 84/465,840/110,526/494 is 2/2526810

2 84, 840, 526
42, 420, 263

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

Greatest Common Factor of 84,840,526 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,840,526 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

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 84,840,526 . The biggest common factor number is the GCF number.
So the greatest common factor 84,840,526 is 2.

Lets's calculate LCM of 465,110,494

2 465, 110, 494
5 465, 55, 247
93, 11, 247

∴ So the LCM of the given numbers is 2 x 5 x 93 x 11 x 247 = 2526810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2526810

Therefore, the GCF of Fractions 84/465,840/110,526/494 is 2/2526810

Least Common Multiple of 465,110,494 with GCF Formula

Least Common Multiple of 465,110,494 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 465,110,494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(465,110,494) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(465,110,494) x common factors =1 x 10 = 10

LCM(465,110,494) = ( 465 × 110 × 494 ) / 10

LCM(465,110,494) = 25268100 / 10

LCM(465,110,494) = 2526810


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 84/465, 840/110, 526/494

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 84/465, 840/110, 526/494?

Answer: GCF of Numerators as per given numbers 84/465, 840/110, 526/494 is

GCF of Numerators i.e. for 84,840,526 is 2

LCM of denominators i.e. for 465,110,494 is 2526810.

Thus, GCF of Fractions is 2/2526810.Finally, GCF of Fractions for 84/465, 840/110, 526/494 is 2/2526810.