How to Find GCF of 8698/247, 6968/851?

GCF of 8698/247, 6968/851

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 8698/247, 6968/851 i.e 2/210197 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8698/247, 6968/851.

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 8698/247,6968/851?

Given fractions are 8698/247,6968/851

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 8698/247,6968/851, numerators are 8698,6968

Denominators are 247,851

The GCF of 8698,6968 is 2 .

LCM of 247,851 is 210197.

The greatest common factor of 8698/247,6968/851 = [GCF of 8698,6968]/[LCM of 247,851]= 2/210197

Therefore, the GCF of 8698/247,6968/851 is 2/210197.

Greatest Common Factor of 8698,6968

To find the highest common factor of 8698,6968, we have to find the factors of both numbers and list the highest common factor.

The factors of 8698 are 1, 2, 4349, 8698

The factors of 6968 are 1, 2, 4, 8, 13, 26, 52, 67, 104, 134, 268, 536, 871, 1742, 3484, 6968

The HCF of 8698,6968 is 2.

Lets's calculate GCF of 8698,6968

Greatest Common Factor (GCF) of 8698,6968 By Common Division

2	8698, 6968
	4349, 3484

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

Greatest Common Factor of 8698,6968 By Matching Biggest Common Factor Method

Now, list down the factors of 8698

1,2,4349,8698

Now, list down the factors of 6968

1,2,4,8,13,26,52,67,104,134,268,536,871,1742,3484,6968

Greatest Common Factor

We found the factors 8698,6968 . The biggest common factor number is the GCF number.
So the greatest common factor 8698,6968 is 2.

Lets's calculate LCM of 247,851

Lowest Common Multiple of 247,851 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 210197

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/210197

Therefore, the GCF of Fractions 8698/247,6968/851 is 2/210197

Least Common Multiple of 247,851 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 247,851 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(247,851) = 1

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

GCF(247,851) x common factors =1 x 1 = 1

LCM(247,851) = ( 247 × 851 ) / 1

LCM(247,851) = 210197 / 1

LCM(247,851) = 210197

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8698/247, 6968/851

1. What is the HCF of 8698,6968?

The HCF of 8698,6968 is 2

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 8698/247, 6968/851?

Answer: GCF of Numerators as per given numbers 8698/247, 6968/851 is

GCF of Numerators i.e. for 8698,6968 is 2

LCM of denominators i.e. for 247,851 is 210197.

Thus, GCF of Fractions is 2/210197.Finally, GCF of Fractions for 8698/247, 6968/851 is 2/210197.