How to Find GCF of 9617/983, 5314/5926?

GCF of 9617/983, 5314/5926

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 9617/983, 5314/5926 i.e 1/5825258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9617/983, 5314/5926.

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 9617/983,5314/5926?

Given fractions are 9617/983,5314/5926

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 9617/983,5314/5926, numerators are 9617,5314

Denominators are 983,5926

The GCF of 9617,5314 is 1 .

LCM of 983,5926 is 5825258.

The greatest common factor of 9617/983,5314/5926 = [GCF of 9617,5314]/[LCM of 983,5926]= 1/5825258

Therefore, the GCF of 9617/983,5314/5926 is 1/5825258.

Greatest Common Factor of 9617,5314

To find the highest common factor of 9617,5314, we have to find the factors of both numbers and list the highest common factor.

The factors of 9617 are 1, 59, 163, 9617

The factors of 5314 are 1, 2, 2657, 5314

The HCF of 9617,5314 is 1.

Lets's calculate GCF of 9617,5314

Greatest Common Factor (GCF) of 9617,5314 By Common Division

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

Greatest Common Factor of 9617,5314 By Matching Biggest Common Factor Method

Now, list down the factors of 9617

1,59,163,9617

Now, list down the factors of 5314

1,2,2657,5314

Greatest Common Factor

We found the factors 9617,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 9617,5314 is 1.

Lets's calculate LCM of 983,5926

Lowest Common Multiple of 983,5926 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5825258

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5825258

Therefore, the GCF of Fractions 9617/983,5314/5926 is 1/5825258

Least Common Multiple of 983,5926 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 983,5926 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,5926) = 1

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

GCF(983,5926) x common factors =1 x 1 = 1

LCM(983,5926) = ( 983 × 5926 ) / 1

LCM(983,5926) = 5825258 / 1

LCM(983,5926) = 5825258

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FAQs on GCF of Fractions of 9617/983, 5314/5926

1. What is the HCF of 9617,5314?

The HCF of 9617,5314 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 9617/983, 5314/5926?

Answer: GCF of Numerators as per given numbers 9617/983, 5314/5926 is

GCF of Numerators i.e. for 9617,5314 is 1

LCM of denominators i.e. for 983,5926 is 5825258.

Thus, GCF of Fractions is 1/5825258.Finally, GCF of Fractions for 9617/983, 5314/5926 is 1/5825258.