How to Find GCF of 1997/696, 6613/6792?

GCF of 1997/696, 6613/6792

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 1997/696, 6613/6792 i.e 1/196968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1997/696, 6613/6792.

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 1997/696,6613/6792?

Given fractions are 1997/696,6613/6792

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 1997/696,6613/6792, numerators are 1997,6613

Denominators are 696,6792

The GCF of 1997,6613 is 1 .

LCM of 696,6792 is 196968.

The greatest common factor of 1997/696,6613/6792 = [GCF of 1997,6613]/[LCM of 696,6792]= 1/196968

Therefore, the GCF of 1997/696,6613/6792 is 1/196968.

Greatest Common Factor of 1997,6613

To find the highest common factor of 1997,6613, we have to find the factors of both numbers and list the highest common factor.

The factors of 1997 are 1, 1997

The factors of 6613 are 1, 17, 389, 6613

The HCF of 1997,6613 is 1.

Lets's calculate GCF of 1997,6613

Greatest Common Factor (GCF) of 1997,6613 By Common Division

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

Greatest Common Factor of 1997,6613 By Matching Biggest Common Factor Method

Now, list down the factors of 1997

1,1997

Now, list down the factors of 6613

1,17,389,6613

Greatest Common Factor

We found the factors 1997,6613 . The biggest common factor number is the GCF number.
So the greatest common factor 1997,6613 is 1.

Lets's calculate LCM of 696,6792

Lowest Common Multiple of 696,6792 using Common Division

2	696, 6792
2	348, 3396
2	174, 1698
3	87, 849
	29, 283

∴ So the LCM of the given numbers is 2 x 2 x 2 x 3 x 29 x 283 = 196968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/196968

Therefore, the GCF of Fractions 1997/696,6613/6792 is 1/196968

Least Common Multiple of 696,6792 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 696,6792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(696,6792) = 24

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

GCF(696,6792) x common factors =24 x 1 = 24

LCM(696,6792) = ( 696 × 6792 ) / 24

LCM(696,6792) = 4727232 / 24

LCM(696,6792) = 196968

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FAQs on GCF of Fractions of 1997/696, 6613/6792

1. What is the HCF of 1997,6613?

The HCF of 1997,6613 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 1997/696, 6613/6792?

Answer: GCF of Numerators as per given numbers 1997/696, 6613/6792 is

GCF of Numerators i.e. for 1997,6613 is 1

LCM of denominators i.e. for 696,6792 is 196968.

Thus, GCF of Fractions is 1/196968.Finally, GCF of Fractions for 1997/696, 6613/6792 is 1/196968.