How to Find GCF of 7198/766, 9035/7752?

GCF of 7198/766, 9035/7752

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 7198/766, 9035/7752 i.e 1/2969016 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7198/766, 9035/7752.

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 7198/766,9035/7752?

Given fractions are 7198/766,9035/7752

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 7198/766,9035/7752, numerators are 7198,9035

Denominators are 766,7752

The GCF of 7198,9035 is 1 .

LCM of 766,7752 is 2969016.

The greatest common factor of 7198/766,9035/7752 = [GCF of 7198,9035]/[LCM of 766,7752]= 1/2969016

Therefore, the GCF of 7198/766,9035/7752 is 1/2969016.

Greatest Common Factor of 7198,9035

To find the highest common factor of 7198,9035, we have to find the factors of both numbers and list the highest common factor.

The factors of 7198 are 1, 2, 59, 61, 118, 122, 3599, 7198

The factors of 9035 are 1, 5, 13, 65, 139, 695, 1807, 9035

The HCF of 7198,9035 is 1.

Lets's calculate GCF of 7198,9035

Greatest Common Factor (GCF) of 7198,9035 By Common Division

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

Greatest Common Factor of 7198,9035 By Matching Biggest Common Factor Method

Now, list down the factors of 7198

1,2,59,61,118,122,3599,7198

Now, list down the factors of 9035

1,5,13,65,139,695,1807,9035

Greatest Common Factor

We found the factors 7198,9035 . The biggest common factor number is the GCF number.
So the greatest common factor 7198,9035 is 1.

Lets's calculate LCM of 766,7752

Lowest Common Multiple of 766,7752 using Common Division

2	766, 7752
	383, 3876

∴ So the LCM of the given numbers is 2 x 383 x 3876 = 2969016

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2969016

Therefore, the GCF of Fractions 7198/766,9035/7752 is 1/2969016

Least Common Multiple of 766,7752 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 766,7752 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(766,7752) = 2

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

GCF(766,7752) x common factors =2 x 1 = 2

LCM(766,7752) = ( 766 × 7752 ) / 2

LCM(766,7752) = 5938032 / 2

LCM(766,7752) = 2969016

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FAQs on GCF of Fractions of 7198/766, 9035/7752

1. What is the HCF of 7198,9035?

The HCF of 7198,9035 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 7198/766, 9035/7752?

Answer: GCF of Numerators as per given numbers 7198/766, 9035/7752 is

GCF of Numerators i.e. for 7198,9035 is 1

LCM of denominators i.e. for 766,7752 is 2969016.

Thus, GCF of Fractions is 1/2969016.Finally, GCF of Fractions for 7198/766, 9035/7752 is 1/2969016.