How to Find GCF of 7829/238, 7116/6022?

GCF of 7829/238, 7116/6022

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 7829/238, 7116/6022 i.e 1/716618 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7829/238, 7116/6022.

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 7829/238,7116/6022?

Given fractions are 7829/238,7116/6022

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 7829/238,7116/6022, numerators are 7829,7116

Denominators are 238,6022

The GCF of 7829,7116 is 1 .

LCM of 238,6022 is 716618.

The greatest common factor of 7829/238,7116/6022 = [GCF of 7829,7116]/[LCM of 238,6022]= 1/716618

Therefore, the GCF of 7829/238,7116/6022 is 1/716618.

Greatest Common Factor of 7829,7116

To find the highest common factor of 7829,7116, we have to find the factors of both numbers and list the highest common factor.

The factors of 7829 are 1, 7829

The factors of 7116 are 1, 2, 3, 4, 6, 12, 593, 1186, 1779, 2372, 3558, 7116

The HCF of 7829,7116 is 1.

Lets's calculate GCF of 7829,7116

Greatest Common Factor (GCF) of 7829,7116 By Common Division

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

Greatest Common Factor of 7829,7116 By Matching Biggest Common Factor Method

Now, list down the factors of 7829

1,7829

Now, list down the factors of 7116

1,2,3,4,6,12,593,1186,1779,2372,3558,7116

Greatest Common Factor

We found the factors 7829,7116 . The biggest common factor number is the GCF number.
So the greatest common factor 7829,7116 is 1.

Lets's calculate LCM of 238,6022

Lowest Common Multiple of 238,6022 using Common Division

2	238, 6022
	119, 3011

∴ So the LCM of the given numbers is 2 x 119 x 3011 = 716618

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/716618

Therefore, the GCF of Fractions 7829/238,7116/6022 is 1/716618

Least Common Multiple of 238,6022 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 238,6022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,6022) = 2

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

GCF(238,6022) x common factors =2 x 1 = 2

LCM(238,6022) = ( 238 × 6022 ) / 2

LCM(238,6022) = 1433236 / 2

LCM(238,6022) = 716618

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7829/238, 7116/6022

1. What is the HCF of 7829,7116?

The HCF of 7829,7116 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 7829/238, 7116/6022?

Answer: GCF of Numerators as per given numbers 7829/238, 7116/6022 is

GCF of Numerators i.e. for 7829,7116 is 1

LCM of denominators i.e. for 238,6022 is 716618.

Thus, GCF of Fractions is 1/716618.Finally, GCF of Fractions for 7829/238, 7116/6022 is 1/716618.