How to Find GCF of 9661/689, 6056/4486?

GCF of 9661/689, 6056/4486

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 9661/689, 6056/4486 i.e 1/3090854 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9661/689, 6056/4486.

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 9661/689,6056/4486?

Given fractions are 9661/689,6056/4486

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 9661/689,6056/4486, numerators are 9661,6056

Denominators are 689,4486

The GCF of 9661,6056 is 1 .

LCM of 689,4486 is 3090854.

The greatest common factor of 9661/689,6056/4486 = [GCF of 9661,6056]/[LCM of 689,4486]= 1/3090854

Therefore, the GCF of 9661/689,6056/4486 is 1/3090854.

Greatest Common Factor of 9661,6056

To find the highest common factor of 9661,6056, we have to find the factors of both numbers and list the highest common factor.

The factors of 9661 are 1, 9661

The factors of 6056 are 1, 2, 4, 8, 757, 1514, 3028, 6056

The HCF of 9661,6056 is 1.

Lets's calculate GCF of 9661,6056

Greatest Common Factor (GCF) of 9661,6056 By Common Division

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

Greatest Common Factor of 9661,6056 By Matching Biggest Common Factor Method

Now, list down the factors of 9661

1,9661

Now, list down the factors of 6056

1,2,4,8,757,1514,3028,6056

Greatest Common Factor

We found the factors 9661,6056 . The biggest common factor number is the GCF number.
So the greatest common factor 9661,6056 is 1.

Lets's calculate LCM of 689,4486

Lowest Common Multiple of 689,4486 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3090854

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3090854

Therefore, the GCF of Fractions 9661/689,6056/4486 is 1/3090854

Least Common Multiple of 689,4486 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 689,4486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,4486) = 1

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

GCF(689,4486) x common factors =1 x 1 = 1

LCM(689,4486) = ( 689 × 4486 ) / 1

LCM(689,4486) = 3090854 / 1

LCM(689,4486) = 3090854

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9661/689, 6056/4486

1. What is the HCF of 9661,6056?

The HCF of 9661,6056 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 9661/689, 6056/4486?

Answer: GCF of Numerators as per given numbers 9661/689, 6056/4486 is

GCF of Numerators i.e. for 9661,6056 is 1

LCM of denominators i.e. for 689,4486 is 3090854.

Thus, GCF of Fractions is 1/3090854.Finally, GCF of Fractions for 9661/689, 6056/4486 is 1/3090854.