How to Find GCF of 8561/296, 6117/9260?

GCF of 8561/296, 6117/9260

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 8561/296, 6117/9260 i.e 1/685240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8561/296, 6117/9260.

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 8561/296,6117/9260?

Given fractions are 8561/296,6117/9260

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 8561/296,6117/9260, numerators are 8561,6117

Denominators are 296,9260

The GCF of 8561,6117 is 1 .

LCM of 296,9260 is 685240.

The greatest common factor of 8561/296,6117/9260 = [GCF of 8561,6117]/[LCM of 296,9260]= 1/685240

Therefore, the GCF of 8561/296,6117/9260 is 1/685240.

Greatest Common Factor of 8561,6117

To find the highest common factor of 8561,6117, we have to find the factors of both numbers and list the highest common factor.

The factors of 8561 are 1, 7, 1223, 8561

The factors of 6117 are 1, 3, 2039, 6117

The HCF of 8561,6117 is 1.

Lets's calculate GCF of 8561,6117

Greatest Common Factor (GCF) of 8561,6117 By Common Division

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

Greatest Common Factor of 8561,6117 By Matching Biggest Common Factor Method

Now, list down the factors of 8561

1,7,1223,8561

Now, list down the factors of 6117

1,3,2039,6117

Greatest Common Factor

We found the factors 8561,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 8561,6117 is 1.

Lets's calculate LCM of 296,9260

Lowest Common Multiple of 296,9260 using Common Division

2	296, 9260
2	148, 4630
	74, 2315

∴ So the LCM of the given numbers is 2 x 2 x 74 x 2315 = 685240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/685240

Therefore, the GCF of Fractions 8561/296,6117/9260 is 1/685240

Least Common Multiple of 296,9260 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 296,9260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,9260) = 4

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

GCF(296,9260) x common factors =4 x 1 = 4

LCM(296,9260) = ( 296 × 9260 ) / 4

LCM(296,9260) = 2740960 / 4

LCM(296,9260) = 685240

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FAQs on GCF of Fractions of 8561/296, 6117/9260

1. What is the HCF of 8561,6117?

The HCF of 8561,6117 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 8561/296, 6117/9260?

Answer: GCF of Numerators as per given numbers 8561/296, 6117/9260 is

GCF of Numerators i.e. for 8561,6117 is 1

LCM of denominators i.e. for 296,9260 is 685240.

Thus, GCF of Fractions is 1/685240.Finally, GCF of Fractions for 8561/296, 6117/9260 is 1/685240.