Greatest Common Factor of 1421/994, 2464/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1421/994, 2464/526

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 1421/994,2464/526

Given fractions are 1421/994,2464/526

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 1421,2464

Greatest Common Factor of Numerators i.e. GCF of 1421,2464 is 7 .

LCM of Denominators means LCM of 994,526 as per the given fractions.

LCM of 994,526 is 261422 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1421,2464

GCF of Fractions 1421/994,2464/526 is 7/261422

7 1421, 2464
203, 352

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 1421,2464 By Matching Biggest Common Factor Method

Greatest Common Factor of 1421,2464 By Matching Biggest Common Factor Method

Factors of 1421

List of positive integer factors of 1421 that divides 1421 without a remainder.

1,7,29,49,203,1421

Factors of 2464

List of positive integer factors of 2464 that divides 2464 without a remainder.

1,2,4,7,8,11,14,16,22,28,32,44,56,77,88,112,154,176,224,308,352,616,1232,2464

Greatest Common Factor

We found the factors 1421,2464 . The biggest common factor number is the GCF number.
So the greatest common factor 1421,2464 is 7.

Lets's calculate LCM of 994,526

2 994, 526
497, 263

∴ So the LCM of the given numbers is 2 x 497 x 263 = 261422

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/261422

Therefore, the GCF of Fractions 1421/994,2464/526 is 7/261422

Least Common Multiple of 994,526 with GCF Formula

Least Common Multiple of 994,526 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 994,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,526) = 2

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

GCF(994,526) x common factors =2 x 1 = 2

LCM(994,526) = ( 994 × 526 ) / 2

LCM(994,526) = 522844 / 2

LCM(994,526) = 261422


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 1421/994, 2464/526

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 1421/994, 2464/526?

Answer: GCF of Numerators as per given numbers 1421/994, 2464/526 is

GCF of Numerators i.e. for 1421,2464 is 7

LCM of denominators i.e. for 994,526 is 261422.

Thus, GCF of Fractions is 7/261422.Finally, GCF of Fractions for 1421/994, 2464/526 is 7/261422.