How to Find GCF of 9699/417, 4184/8987?

GCF of 9699/417, 4184/8987

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 9699/417, 4184/8987 i.e 1/3747579 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9699/417, 4184/8987.

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 9699/417,4184/8987?

Given fractions are 9699/417,4184/8987

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 9699/417,4184/8987, numerators are 9699,4184

Denominators are 417,8987

The GCF of 9699,4184 is 1 .

LCM of 417,8987 is 3747579.

The greatest common factor of 9699/417,4184/8987 = [GCF of 9699,4184]/[LCM of 417,8987]= 1/3747579

Therefore, the GCF of 9699/417,4184/8987 is 1/3747579.

Greatest Common Factor of 9699,4184

To find the highest common factor of 9699,4184, we have to find the factors of both numbers and list the highest common factor.

The factors of 9699 are 1, 3, 53, 61, 159, 183, 3233, 9699

The factors of 4184 are 1, 2, 4, 8, 523, 1046, 2092, 4184

The HCF of 9699,4184 is 1.

Lets's calculate GCF of 9699,4184

Greatest Common Factor (GCF) of 9699,4184 By Common Division

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

Greatest Common Factor of 9699,4184 By Matching Biggest Common Factor Method

Now, list down the factors of 9699

1,3,53,61,159,183,3233,9699

Now, list down the factors of 4184

1,2,4,8,523,1046,2092,4184

Greatest Common Factor

We found the factors 9699,4184 . The biggest common factor number is the GCF number.
So the greatest common factor 9699,4184 is 1.

Lets's calculate LCM of 417,8987

Lowest Common Multiple of 417,8987 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3747579

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3747579

Therefore, the GCF of Fractions 9699/417,4184/8987 is 1/3747579

Least Common Multiple of 417,8987 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 417,8987 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(417,8987) = 1

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

GCF(417,8987) x common factors =1 x 1 = 1

LCM(417,8987) = ( 417 × 8987 ) / 1

LCM(417,8987) = 3747579 / 1

LCM(417,8987) = 3747579

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FAQs on GCF of Fractions of 9699/417, 4184/8987

1. What is the HCF of 9699,4184?

The HCF of 9699,4184 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 9699/417, 4184/8987?

Answer: GCF of Numerators as per given numbers 9699/417, 4184/8987 is

GCF of Numerators i.e. for 9699,4184 is 1

LCM of denominators i.e. for 417,8987 is 3747579.

Thus, GCF of Fractions is 1/3747579.Finally, GCF of Fractions for 9699/417, 4184/8987 is 1/3747579.