How to Find GCF of 968/910, 6399/8749?

GCF of 968/910, 6399/8749

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 968/910, 6399/8749 i.e 1/612430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 968/910, 6399/8749.

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 968/910,6399/8749?

Given fractions are 968/910,6399/8749

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 968/910,6399/8749, numerators are 968,6399

Denominators are 910,8749

The GCF of 968,6399 is 1 .

LCM of 910,8749 is 612430.

The greatest common factor of 968/910,6399/8749 = [GCF of 968,6399]/[LCM of 910,8749]= 1/612430

Therefore, the GCF of 968/910,6399/8749 is 1/612430.

Greatest Common Factor of 968,6399

To find the highest common factor of 968,6399, we have to find the factors of both numbers and list the highest common factor.

The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

The factors of 6399 are 1, 3, 9, 27, 79, 81, 237, 711, 2133, 6399

The HCF of 968,6399 is 1.

Lets's calculate GCF of 968,6399

Greatest Common Factor (GCF) of 968,6399 By Common Division

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

Greatest Common Factor of 968,6399 By Matching Biggest Common Factor Method

Now, list down the factors of 968

1,2,4,8,11,22,44,88,121,242,484,968

Now, list down the factors of 6399

1,3,9,27,79,81,237,711,2133,6399

Greatest Common Factor

We found the factors 968,6399 . The biggest common factor number is the GCF number.
So the greatest common factor 968,6399 is 1.

Lets's calculate LCM of 910,8749

Lowest Common Multiple of 910,8749 using Common Division

13	910, 8749
	70, 673

∴ So the LCM of the given numbers is 13 x 70 x 673 = 612430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/612430

Therefore, the GCF of Fractions 968/910,6399/8749 is 1/612430

Least Common Multiple of 910,8749 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 910,8749 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(910,8749) = 13

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

GCF(910,8749) x common factors =13 x 1 = 13

LCM(910,8749) = ( 910 × 8749 ) / 13

LCM(910,8749) = 7961590 / 13

LCM(910,8749) = 612430

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FAQs on GCF of Fractions of 968/910, 6399/8749

1. What is the HCF of 968,6399?

The HCF of 968,6399 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 968/910, 6399/8749?

Answer: GCF of Numerators as per given numbers 968/910, 6399/8749 is

GCF of Numerators i.e. for 968,6399 is 1

LCM of denominators i.e. for 910,8749 is 612430.

Thus, GCF of Fractions is 1/612430.Finally, GCF of Fractions for 968/910, 6399/8749 is 1/612430.