How to Find GCF of 9979/173, 3464/5276?

GCF of 9979/173, 3464/5276

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 9979/173, 3464/5276 i.e 1/912748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9979/173, 3464/5276.

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 9979/173,3464/5276?

Given fractions are 9979/173,3464/5276

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 9979/173,3464/5276, numerators are 9979,3464

Denominators are 173,5276

The GCF of 9979,3464 is 1 .

LCM of 173,5276 is 912748.

The greatest common factor of 9979/173,3464/5276 = [GCF of 9979,3464]/[LCM of 173,5276]= 1/912748

Therefore, the GCF of 9979/173,3464/5276 is 1/912748.

Greatest Common Factor of 9979,3464

To find the highest common factor of 9979,3464, we have to find the factors of both numbers and list the highest common factor.

The factors of 9979 are 1, 17, 587, 9979

The factors of 3464 are 1, 2, 4, 8, 433, 866, 1732, 3464

The HCF of 9979,3464 is 1.

Lets's calculate GCF of 9979,3464

Greatest Common Factor (GCF) of 9979,3464 By Common Division

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

Greatest Common Factor of 9979,3464 By Matching Biggest Common Factor Method

Now, list down the factors of 9979

1,17,587,9979

Now, list down the factors of 3464

1,2,4,8,433,866,1732,3464

Greatest Common Factor

We found the factors 9979,3464 . The biggest common factor number is the GCF number.
So the greatest common factor 9979,3464 is 1.

Lets's calculate LCM of 173,5276

Lowest Common Multiple of 173,5276 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 912748

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/912748

Therefore, the GCF of Fractions 9979/173,3464/5276 is 1/912748

Least Common Multiple of 173,5276 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 173,5276 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(173,5276) = 1

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

GCF(173,5276) x common factors =1 x 1 = 1

LCM(173,5276) = ( 173 × 5276 ) / 1

LCM(173,5276) = 912748 / 1

LCM(173,5276) = 912748

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FAQs on GCF of Fractions of 9979/173, 3464/5276

1. What is the HCF of 9979,3464?

The HCF of 9979,3464 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 9979/173, 3464/5276?

Answer: GCF of Numerators as per given numbers 9979/173, 3464/5276 is

GCF of Numerators i.e. for 9979,3464 is 1

LCM of denominators i.e. for 173,5276 is 912748.

Thus, GCF of Fractions is 1/912748.Finally, GCF of Fractions for 9979/173, 3464/5276 is 1/912748.