How to Find GCF of 9970/744, 3389/7116?

GCF of 9970/744, 3389/7116

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 9970/744, 3389/7116 i.e 1/441192 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9970/744, 3389/7116.

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 9970/744,3389/7116?

Given fractions are 9970/744,3389/7116

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 9970/744,3389/7116, numerators are 9970,3389

Denominators are 744,7116

The GCF of 9970,3389 is 1 .

LCM of 744,7116 is 441192.

The greatest common factor of 9970/744,3389/7116 = [GCF of 9970,3389]/[LCM of 744,7116]= 1/441192

Therefore, the GCF of 9970/744,3389/7116 is 1/441192.

Greatest Common Factor of 9970,3389

To find the highest common factor of 9970,3389, we have to find the factors of both numbers and list the highest common factor.

The factors of 9970 are 1, 2, 5, 10, 997, 1994, 4985, 9970

The factors of 3389 are 1, 3389

The HCF of 9970,3389 is 1.

Lets's calculate GCF of 9970,3389

Greatest Common Factor (GCF) of 9970,3389 By Common Division

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

Greatest Common Factor of 9970,3389 By Matching Biggest Common Factor Method

Now, list down the factors of 9970

1,2,5,10,997,1994,4985,9970

Now, list down the factors of 3389

1,3389

Greatest Common Factor

We found the factors 9970,3389 . The biggest common factor number is the GCF number.
So the greatest common factor 9970,3389 is 1.

Lets's calculate LCM of 744,7116

Lowest Common Multiple of 744,7116 using Common Division

2	744, 7116
2	372, 3558
3	186, 1779
	62, 593

∴ So the LCM of the given numbers is 2 x 2 x 3 x 62 x 593 = 441192

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/441192

Therefore, the GCF of Fractions 9970/744,3389/7116 is 1/441192

Least Common Multiple of 744,7116 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 744,7116 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(744,7116) = 12

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

GCF(744,7116) x common factors =12 x 1 = 12

LCM(744,7116) = ( 744 × 7116 ) / 12

LCM(744,7116) = 5294304 / 12

LCM(744,7116) = 441192

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FAQs on GCF of Fractions of 9970/744, 3389/7116

1. What is the HCF of 9970,3389?

The HCF of 9970,3389 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 9970/744, 3389/7116?

Answer: GCF of Numerators as per given numbers 9970/744, 3389/7116 is

GCF of Numerators i.e. for 9970,3389 is 1

LCM of denominators i.e. for 744,7116 is 441192.

Thus, GCF of Fractions is 1/441192.Finally, GCF of Fractions for 9970/744, 3389/7116 is 1/441192.