How to Find GCF of 9397/220, 6106/1284?

GCF of 9397/220, 6106/1284

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 9397/220, 6106/1284 i.e 1/70620 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9397/220, 6106/1284.

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 9397/220,6106/1284?

Given fractions are 9397/220,6106/1284

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 9397/220,6106/1284, numerators are 9397,6106

Denominators are 220,1284

The GCF of 9397,6106 is 1 .

LCM of 220,1284 is 70620.

The greatest common factor of 9397/220,6106/1284 = [GCF of 9397,6106]/[LCM of 220,1284]= 1/70620

Therefore, the GCF of 9397/220,6106/1284 is 1/70620.

Greatest Common Factor of 9397,6106

To find the highest common factor of 9397,6106, we have to find the factors of both numbers and list the highest common factor.

The factors of 9397 are 1, 9397

The factors of 6106 are 1, 2, 43, 71, 86, 142, 3053, 6106

The HCF of 9397,6106 is 1.

Lets's calculate GCF of 9397,6106

Greatest Common Factor (GCF) of 9397,6106 By Common Division

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

Greatest Common Factor of 9397,6106 By Matching Biggest Common Factor Method

Now, list down the factors of 9397

1,9397

Now, list down the factors of 6106

1,2,43,71,86,142,3053,6106

Greatest Common Factor

We found the factors 9397,6106 . The biggest common factor number is the GCF number.
So the greatest common factor 9397,6106 is 1.

Lets's calculate LCM of 220,1284

Lowest Common Multiple of 220,1284 using Common Division

2	220, 1284
2	110, 642
	55, 321

∴ So the LCM of the given numbers is 2 x 2 x 55 x 321 = 70620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70620

Therefore, the GCF of Fractions 9397/220,6106/1284 is 1/70620

Least Common Multiple of 220,1284 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 220,1284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(220,1284) = 4

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

GCF(220,1284) x common factors =4 x 1 = 4

LCM(220,1284) = ( 220 × 1284 ) / 4

LCM(220,1284) = 282480 / 4

LCM(220,1284) = 70620

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FAQs on GCF of Fractions of 9397/220, 6106/1284

1. What is the HCF of 9397,6106?

The HCF of 9397,6106 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 9397/220, 6106/1284?

Answer: GCF of Numerators as per given numbers 9397/220, 6106/1284 is

GCF of Numerators i.e. for 9397,6106 is 1

LCM of denominators i.e. for 220,1284 is 70620.

Thus, GCF of Fractions is 1/70620.Finally, GCF of Fractions for 9397/220, 6106/1284 is 1/70620.