How to Find GCF of 6359/236, 7374/7818?

GCF of 6359/236, 7374/7818

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 6359/236, 7374/7818 i.e 1/922524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6359/236, 7374/7818.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 6359/236,7374/7818?

Given fractions are 6359/236,7374/7818

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 6359/236,7374/7818, numerators are 6359,7374

Denominators are 236,7818

The GCF of 6359,7374 is 1 .

LCM of 236,7818 is 922524.

The greatest common factor of 6359/236,7374/7818 = [GCF of 6359,7374]/[LCM of 236,7818]= 1/922524

Therefore, the GCF of 6359/236,7374/7818 is 1/922524.

Greatest Common Factor of 6359,7374

To find the highest common factor of 6359,7374, we have to find the factors of both numbers and list the highest common factor.

The factors of 6359 are 1, 6359

The factors of 7374 are 1, 2, 3, 6, 1229, 2458, 3687, 7374

The HCF of 6359,7374 is 1.

Lets's calculate GCF of 6359,7374

Greatest Common Factor (GCF) of 6359,7374 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6359,7374 By Matching Biggest Common Factor Method

Now, list down the factors of 6359

1,6359

Now, list down the factors of 7374

1,2,3,6,1229,2458,3687,7374

Greatest Common Factor

We found the factors 6359,7374 . The biggest common factor number is the GCF number.
So the greatest common factor 6359,7374 is 1.

Lets's calculate LCM of 236,7818

Lowest Common Multiple of 236,7818 using Common Division

2	236, 7818
	118, 3909

∴ So the LCM of the given numbers is 2 x 118 x 3909 = 922524

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/922524

Therefore, the GCF of Fractions 6359/236,7374/7818 is 1/922524

Least Common Multiple of 236,7818 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 236,7818 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(236,7818) = 2

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

GCF(236,7818) x common factors =2 x 1 = 2

LCM(236,7818) = ( 236 × 7818 ) / 2

LCM(236,7818) = 1845048 / 2

LCM(236,7818) = 922524

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6359/236, 7374/7818

1. What is the HCF of 6359,7374?

The HCF of 6359,7374 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 6359/236, 7374/7818?

Answer: GCF of Numerators as per given numbers 6359/236, 7374/7818 is

GCF of Numerators i.e. for 6359,7374 is 1

LCM of denominators i.e. for 236,7818 is 922524.

Thus, GCF of Fractions is 1/922524.Finally, GCF of Fractions for 6359/236, 7374/7818 is 1/922524.