How to Find GCF of 6397/698, 6868/1604?

GCF of 6397/698, 6868/1604

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 6397/698, 6868/1604 i.e 1/559796 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6397/698, 6868/1604.

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 6397/698,6868/1604?

Given fractions are 6397/698,6868/1604

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 6397/698,6868/1604, numerators are 6397,6868

Denominators are 698,1604

The GCF of 6397,6868 is 1 .

LCM of 698,1604 is 559796.

The greatest common factor of 6397/698,6868/1604 = [GCF of 6397,6868]/[LCM of 698,1604]= 1/559796

Therefore, the GCF of 6397/698,6868/1604 is 1/559796.

Greatest Common Factor of 6397,6868

To find the highest common factor of 6397,6868, we have to find the factors of both numbers and list the highest common factor.

The factors of 6397 are 1, 6397

The factors of 6868 are 1, 2, 4, 17, 34, 68, 101, 202, 404, 1717, 3434, 6868

The HCF of 6397,6868 is 1.

Lets's calculate GCF of 6397,6868

Greatest Common Factor (GCF) of 6397,6868 By Common Division

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

Greatest Common Factor of 6397,6868 By Matching Biggest Common Factor Method

Now, list down the factors of 6397

1,6397

Now, list down the factors of 6868

1,2,4,17,34,68,101,202,404,1717,3434,6868

Greatest Common Factor

We found the factors 6397,6868 . The biggest common factor number is the GCF number.
So the greatest common factor 6397,6868 is 1.

Lets's calculate LCM of 698,1604

Lowest Common Multiple of 698,1604 using Common Division

2	698, 1604
	349, 802

∴ So the LCM of the given numbers is 2 x 349 x 802 = 559796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/559796

Therefore, the GCF of Fractions 6397/698,6868/1604 is 1/559796

Least Common Multiple of 698,1604 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 698,1604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,1604) = 2

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

GCF(698,1604) x common factors =2 x 1 = 2

LCM(698,1604) = ( 698 × 1604 ) / 2

LCM(698,1604) = 1119592 / 2

LCM(698,1604) = 559796

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FAQs on GCF of Fractions of 6397/698, 6868/1604

1. What is the HCF of 6397,6868?

The HCF of 6397,6868 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 6397/698, 6868/1604?

Answer: GCF of Numerators as per given numbers 6397/698, 6868/1604 is

GCF of Numerators i.e. for 6397,6868 is 1

LCM of denominators i.e. for 698,1604 is 559796.

Thus, GCF of Fractions is 1/559796.Finally, GCF of Fractions for 6397/698, 6868/1604 is 1/559796.