How to Find GCF of 9017/976, 7402/8920?

GCF of 9017/976, 7402/8920

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 9017/976, 7402/8920 i.e 1/1088240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9017/976, 7402/8920.

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 9017/976,7402/8920?

Given fractions are 9017/976,7402/8920

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 9017/976,7402/8920, numerators are 9017,7402

Denominators are 976,8920

The GCF of 9017,7402 is 1 .

LCM of 976,8920 is 1088240.

The greatest common factor of 9017/976,7402/8920 = [GCF of 9017,7402]/[LCM of 976,8920]= 1/1088240

Therefore, the GCF of 9017/976,7402/8920 is 1/1088240.

Greatest Common Factor of 9017,7402

To find the highest common factor of 9017,7402, we have to find the factors of both numbers and list the highest common factor.

The factors of 9017 are 1, 71, 127, 9017

The factors of 7402 are 1, 2, 3701, 7402

The HCF of 9017,7402 is 1.

Lets's calculate GCF of 9017,7402

Greatest Common Factor (GCF) of 9017,7402 By Common Division

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

Greatest Common Factor of 9017,7402 By Matching Biggest Common Factor Method

Now, list down the factors of 9017

1,71,127,9017

Now, list down the factors of 7402

1,2,3701,7402

Greatest Common Factor

We found the factors 9017,7402 . The biggest common factor number is the GCF number.
So the greatest common factor 9017,7402 is 1.

Lets's calculate LCM of 976,8920

Lowest Common Multiple of 976,8920 using Common Division

2	976, 8920
2	488, 4460
2	244, 2230
	122, 1115

∴ So the LCM of the given numbers is 2 x 2 x 2 x 122 x 1115 = 1088240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1088240

Therefore, the GCF of Fractions 9017/976,7402/8920 is 1/1088240

Least Common Multiple of 976,8920 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 976,8920 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,8920) = 8

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

GCF(976,8920) x common factors =8 x 1 = 8

LCM(976,8920) = ( 976 × 8920 ) / 8

LCM(976,8920) = 8705920 / 8

LCM(976,8920) = 1088240

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FAQs on GCF of Fractions of 9017/976, 7402/8920

1. What is the HCF of 9017,7402?

The HCF of 9017,7402 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 9017/976, 7402/8920?

Answer: GCF of Numerators as per given numbers 9017/976, 7402/8920 is

GCF of Numerators i.e. for 9017,7402 is 1

LCM of denominators i.e. for 976,8920 is 1088240.

Thus, GCF of Fractions is 1/1088240.Finally, GCF of Fractions for 9017/976, 7402/8920 is 1/1088240.