How to Find GCF of 3597/946, 9817/6536?

GCF of 3597/946, 9817/6536

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 3597/946, 9817/6536 i.e 1/71896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3597/946, 9817/6536.

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 3597/946,9817/6536?

Given fractions are 3597/946,9817/6536

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 3597/946,9817/6536, numerators are 3597,9817

Denominators are 946,6536

The GCF of 3597,9817 is 1 .

LCM of 946,6536 is 71896.

The greatest common factor of 3597/946,9817/6536 = [GCF of 3597,9817]/[LCM of 946,6536]= 1/71896

Therefore, the GCF of 3597/946,9817/6536 is 1/71896.

Greatest Common Factor of 3597,9817

To find the highest common factor of 3597,9817, we have to find the factors of both numbers and list the highest common factor.

The factors of 3597 are 1, 3, 11, 33, 109, 327, 1199, 3597

The factors of 9817 are 1, 9817

The HCF of 3597,9817 is 1.

Lets's calculate GCF of 3597,9817

Greatest Common Factor (GCF) of 3597,9817 By Common Division

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

Greatest Common Factor of 3597,9817 By Matching Biggest Common Factor Method

Now, list down the factors of 3597

1,3,11,33,109,327,1199,3597

Now, list down the factors of 9817

1,9817

Greatest Common Factor

We found the factors 3597,9817 . The biggest common factor number is the GCF number.
So the greatest common factor 3597,9817 is 1.

Lets's calculate LCM of 946,6536

Lowest Common Multiple of 946,6536 using Common Division

2	946, 6536
43	473, 3268
	11, 76

∴ So the LCM of the given numbers is 2 x 43 x 11 x 76 = 71896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/71896

Therefore, the GCF of Fractions 3597/946,9817/6536 is 1/71896

Least Common Multiple of 946,6536 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 946,6536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(946,6536) = 86

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

GCF(946,6536) x common factors =86 x 1 = 86

LCM(946,6536) = ( 946 × 6536 ) / 86

LCM(946,6536) = 6183056 / 86

LCM(946,6536) = 71896

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FAQs on GCF of Fractions of 3597/946, 9817/6536

1. What is the HCF of 3597,9817?

The HCF of 3597,9817 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 3597/946, 9817/6536?

Answer: GCF of Numerators as per given numbers 3597/946, 9817/6536 is

GCF of Numerators i.e. for 3597,9817 is 1

LCM of denominators i.e. for 946,6536 is 71896.

Thus, GCF of Fractions is 1/71896.Finally, GCF of Fractions for 3597/946, 9817/6536 is 1/71896.