How to Find GCF of 5637/673, 9686/7137?

GCF of 5637/673, 9686/7137

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 5637/673, 9686/7137 i.e 1/4803201 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5637/673, 9686/7137.

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 5637/673,9686/7137?

Given fractions are 5637/673,9686/7137

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 5637/673,9686/7137, numerators are 5637,9686

Denominators are 673,7137

The GCF of 5637,9686 is 1 .

LCM of 673,7137 is 4803201.

The greatest common factor of 5637/673,9686/7137 = [GCF of 5637,9686]/[LCM of 673,7137]= 1/4803201

Therefore, the GCF of 5637/673,9686/7137 is 1/4803201.

Greatest Common Factor of 5637,9686

To find the highest common factor of 5637,9686, we have to find the factors of both numbers and list the highest common factor.

The factors of 5637 are 1, 3, 1879, 5637

The factors of 9686 are 1, 2, 29, 58, 167, 334, 4843, 9686

The HCF of 5637,9686 is 1.

Lets's calculate GCF of 5637,9686

Greatest Common Factor (GCF) of 5637,9686 By Common Division

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

Greatest Common Factor of 5637,9686 By Matching Biggest Common Factor Method

Now, list down the factors of 5637

1,3,1879,5637

Now, list down the factors of 9686

1,2,29,58,167,334,4843,9686

Greatest Common Factor

We found the factors 5637,9686 . The biggest common factor number is the GCF number.
So the greatest common factor 5637,9686 is 1.

Lets's calculate LCM of 673,7137

Lowest Common Multiple of 673,7137 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4803201

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4803201

Therefore, the GCF of Fractions 5637/673,9686/7137 is 1/4803201

Least Common Multiple of 673,7137 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 673,7137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(673,7137) = 1

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

GCF(673,7137) x common factors =1 x 1 = 1

LCM(673,7137) = ( 673 × 7137 ) / 1

LCM(673,7137) = 4803201 / 1

LCM(673,7137) = 4803201

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FAQs on GCF of Fractions of 5637/673, 9686/7137

1. What is the HCF of 5637,9686?

The HCF of 5637,9686 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 5637/673, 9686/7137?

Answer: GCF of Numerators as per given numbers 5637/673, 9686/7137 is

GCF of Numerators i.e. for 5637,9686 is 1

LCM of denominators i.e. for 673,7137 is 4803201.

Thus, GCF of Fractions is 1/4803201.Finally, GCF of Fractions for 5637/673, 9686/7137 is 1/4803201.