How to Find GCF of 9712/797, 1996/3407?

GCF of 9712/797, 1996/3407

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 9712/797, 1996/3407 i.e 4/2715379 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9712/797, 1996/3407.

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 9712/797,1996/3407?

Given fractions are 9712/797,1996/3407

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 9712/797,1996/3407, numerators are 9712,1996

Denominators are 797,3407

The GCF of 9712,1996 is 4 .

LCM of 797,3407 is 2715379.

The greatest common factor of 9712/797,1996/3407 = [GCF of 9712,1996]/[LCM of 797,3407]= 4/2715379

Therefore, the GCF of 9712/797,1996/3407 is 4/2715379.

Greatest Common Factor of 9712,1996

To find the highest common factor of 9712,1996, we have to find the factors of both numbers and list the highest common factor.

The factors of 9712 are 1, 2, 4, 8, 16, 607, 1214, 2428, 4856, 9712

The factors of 1996 are 1, 2, 4, 499, 998, 1996

The HCF of 9712,1996 is 4.

Lets's calculate GCF of 9712,1996

Greatest Common Factor (GCF) of 9712,1996 By Common Division

2	9712, 1996
2	4856, 998
	2428, 499

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9712,1996 By Matching Biggest Common Factor Method

Now, list down the factors of 9712

1,2,4,8,16,607,1214,2428,4856,9712

Now, list down the factors of 1996

1,2,4,499,998,1996

Greatest Common Factor

We found the factors 9712,1996 . The biggest common factor number is the GCF number.
So the greatest common factor 9712,1996 is 4.

Lets's calculate LCM of 797,3407

Lowest Common Multiple of 797,3407 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2715379

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2715379

Therefore, the GCF of Fractions 9712/797,1996/3407 is 4/2715379

Least Common Multiple of 797,3407 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 797,3407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,3407) = 1

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

GCF(797,3407) x common factors =1 x 1 = 1

LCM(797,3407) = ( 797 × 3407 ) / 1

LCM(797,3407) = 2715379 / 1

LCM(797,3407) = 2715379

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9712/797, 1996/3407

1. What is the HCF of 9712,1996?

The HCF of 9712,1996 is 4

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 9712/797, 1996/3407?

Answer: GCF of Numerators as per given numbers 9712/797, 1996/3407 is

GCF of Numerators i.e. for 9712,1996 is 4

LCM of denominators i.e. for 797,3407 is 2715379.

Thus, GCF of Fractions is 4/2715379.Finally, GCF of Fractions for 9712/797, 1996/3407 is 4/2715379.