How to Find GCF of 5667/955, 3659/7064?

GCF of 5667/955, 3659/7064

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 5667/955, 3659/7064 i.e 1/6746120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5667/955, 3659/7064.

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 5667/955,3659/7064?

Given fractions are 5667/955,3659/7064

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 5667/955,3659/7064, numerators are 5667,3659

Denominators are 955,7064

The GCF of 5667,3659 is 1 .

LCM of 955,7064 is 6746120.

The greatest common factor of 5667/955,3659/7064 = [GCF of 5667,3659]/[LCM of 955,7064]= 1/6746120

Therefore, the GCF of 5667/955,3659/7064 is 1/6746120.

Greatest Common Factor of 5667,3659

To find the highest common factor of 5667,3659, we have to find the factors of both numbers and list the highest common factor.

The factors of 5667 are 1, 3, 1889, 5667

The factors of 3659 are 1, 3659

The HCF of 5667,3659 is 1.

Lets's calculate GCF of 5667,3659

Greatest Common Factor (GCF) of 5667,3659 By Common Division

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

Greatest Common Factor of 5667,3659 By Matching Biggest Common Factor Method

Now, list down the factors of 5667

1,3,1889,5667

Now, list down the factors of 3659

1,3659

Greatest Common Factor

We found the factors 5667,3659 . The biggest common factor number is the GCF number.
So the greatest common factor 5667,3659 is 1.

Lets's calculate LCM of 955,7064

Lowest Common Multiple of 955,7064 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6746120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6746120

Therefore, the GCF of Fractions 5667/955,3659/7064 is 1/6746120

Least Common Multiple of 955,7064 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 955,7064 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(955,7064) = 1

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

GCF(955,7064) x common factors =1 x 1 = 1

LCM(955,7064) = ( 955 × 7064 ) / 1

LCM(955,7064) = 6746120 / 1

LCM(955,7064) = 6746120

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FAQs on GCF of Fractions of 5667/955, 3659/7064

1. What is the HCF of 5667,3659?

The HCF of 5667,3659 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 5667/955, 3659/7064?

Answer: GCF of Numerators as per given numbers 5667/955, 3659/7064 is

GCF of Numerators i.e. for 5667,3659 is 1

LCM of denominators i.e. for 955,7064 is 6746120.

Thus, GCF of Fractions is 1/6746120.Finally, GCF of Fractions for 5667/955, 3659/7064 is 1/6746120.