Greatest Common Factor of 2074/624, 9540/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2074/624, 9540/698

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 2074/624,9540/698

Given fractions are 2074/624,9540/698

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 2074,9540

Greatest Common Factor of Numerators i.e. GCF of 2074,9540 is 2 .

LCM of Denominators means LCM of 624,698 as per the given fractions.

LCM of 624,698 is 217776 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2074,9540

GCF of Fractions 2074/624,9540/698 is 2/217776

2 2074, 9540
1037, 4770

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

Greatest Common Factor of 2074,9540 By Matching Biggest Common Factor Method

Greatest Common Factor of 2074,9540 By Matching Biggest Common Factor Method

Factors of 2074

List of positive integer factors of 2074 that divides 2074 without a remainder.

1,2,17,34,61,122,1037,2074

Factors of 9540

List of positive integer factors of 9540 that divides 9540 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,30,36,45,53,60,90,106,159,180,212,265,318,477,530,636,795,954,1060,1590,1908,2385,3180,4770,9540

Greatest Common Factor

We found the factors 2074,9540 . The biggest common factor number is the GCF number.
So the greatest common factor 2074,9540 is 2.

Lets's calculate LCM of 624,698

2 624, 698
312, 349

∴ So the LCM of the given numbers is 2 x 312 x 349 = 217776

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/217776

Therefore, the GCF of Fractions 2074/624,9540/698 is 2/217776

Least Common Multiple of 624,698 with GCF Formula

Least Common Multiple of 624,698 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 624,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(624,698) = 2

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

GCF(624,698) x common factors =2 x 1 = 2

LCM(624,698) = ( 624 × 698 ) / 2

LCM(624,698) = 435552 / 2

LCM(624,698) = 217776


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 2074/624, 9540/698

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 2074/624, 9540/698?

Answer: GCF of Numerators as per given numbers 2074/624, 9540/698 is

GCF of Numerators i.e. for 2074,9540 is 2

LCM of denominators i.e. for 624,698 is 217776.

Thus, GCF of Fractions is 2/217776.Finally, GCF of Fractions for 2074/624, 9540/698 is 2/217776.