How to Find GCF of 9629/238, 7628/9868?

GCF of 9629/238, 7628/9868

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 9629/238, 7628/9868 i.e 1/1174292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9629/238, 7628/9868.

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 9629/238,7628/9868?

Given fractions are 9629/238,7628/9868

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 9629/238,7628/9868, numerators are 9629,7628

Denominators are 238,9868

The GCF of 9629,7628 is 1 .

LCM of 238,9868 is 1174292.

The greatest common factor of 9629/238,7628/9868 = [GCF of 9629,7628]/[LCM of 238,9868]= 1/1174292

Therefore, the GCF of 9629/238,7628/9868 is 1/1174292.

Greatest Common Factor of 9629,7628

To find the highest common factor of 9629,7628, we have to find the factors of both numbers and list the highest common factor.

The factors of 9629 are 1, 9629

The factors of 7628 are 1, 2, 4, 1907, 3814, 7628

The HCF of 9629,7628 is 1.

Lets's calculate GCF of 9629,7628

Greatest Common Factor (GCF) of 9629,7628 By Common Division

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

Greatest Common Factor of 9629,7628 By Matching Biggest Common Factor Method

Now, list down the factors of 9629

1,9629

Now, list down the factors of 7628

1,2,4,1907,3814,7628

Greatest Common Factor

We found the factors 9629,7628 . The biggest common factor number is the GCF number.
So the greatest common factor 9629,7628 is 1.

Lets's calculate LCM of 238,9868

Lowest Common Multiple of 238,9868 using Common Division

2	238, 9868
	119, 4934

∴ So the LCM of the given numbers is 2 x 119 x 4934 = 1174292

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1174292

Therefore, the GCF of Fractions 9629/238,7628/9868 is 1/1174292

Least Common Multiple of 238,9868 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 238,9868 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(238,9868) = 2

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

GCF(238,9868) x common factors =2 x 1 = 2

LCM(238,9868) = ( 238 × 9868 ) / 2

LCM(238,9868) = 2348584 / 2

LCM(238,9868) = 1174292

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9629/238, 7628/9868

1. What is the HCF of 9629,7628?

The HCF of 9629,7628 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 9629/238, 7628/9868?

Answer: GCF of Numerators as per given numbers 9629/238, 7628/9868 is

GCF of Numerators i.e. for 9629,7628 is 1

LCM of denominators i.e. for 238,9868 is 1174292.

Thus, GCF of Fractions is 1/1174292.Finally, GCF of Fractions for 9629/238, 7628/9868 is 1/1174292.