Greatest Common Factor of 3698/42, 7730/323

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3698/42, 7730/323

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 3698/42,7730/323

Given fractions are 3698/42,7730/323

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 3698,7730

Greatest Common Factor of Numerators i.e. GCF of 3698,7730 is 2 .

LCM of Denominators means LCM of 42,323 as per the given fractions.

LCM of 42,323 is 13566 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3698,7730

GCF of Fractions 3698/42,7730/323 is 2/13566

2 3698, 7730
1849, 3865

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

Greatest Common Factor of 3698,7730 By Matching Biggest Common Factor Method

Greatest Common Factor of 3698,7730 By Matching Biggest Common Factor Method

Factors of 3698

List of positive integer factors of 3698 that divides 3698 without a remainder.

1,2,43,86,1849,3698

Factors of 7730

List of positive integer factors of 7730 that divides 7730 without a remainder.

1,2,5,10,773,1546,3865,7730

Greatest Common Factor

We found the factors 3698,7730 . The biggest common factor number is the GCF number.
So the greatest common factor 3698,7730 is 2.

Lets's calculate LCM of 42,323

Given numbers has no common factors except 1. So, there LCM is their product i.e 13566

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/13566

Therefore, the GCF of Fractions 3698/42,7730/323 is 2/13566

Least Common Multiple of 42,323 with GCF Formula

Least Common Multiple of 42,323 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 42,323 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,323) = 1

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

GCF(42,323) x common factors =1 x 1 = 1

LCM(42,323) = ( 42 × 323 ) / 1

LCM(42,323) = 13566 / 1

LCM(42,323) = 13566


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 3698/42, 7730/323

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 3698/42, 7730/323?

Answer: GCF of Numerators as per given numbers 3698/42, 7730/323 is

GCF of Numerators i.e. for 3698,7730 is 2

LCM of denominators i.e. for 42,323 is 13566.

Thus, GCF of Fractions is 2/13566.Finally, GCF of Fractions for 3698/42, 7730/323 is 2/13566.