How to Find GCF of 5669/181, 2532/616?

GCF of 5669/181, 2532/616

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 5669/181, 2532/616 i.e 1/111496 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5669/181, 2532/616.

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 5669/181,2532/616?

Given fractions are 5669/181,2532/616

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 5669/181,2532/616, numerators are 5669,2532

Denominators are 181,616

The GCF of 5669,2532 is 1 .

LCM of 181,616 is 111496.

The greatest common factor of 5669/181,2532/616 = [GCF of 5669,2532]/[LCM of 181,616]= 1/111496

Therefore, the GCF of 5669/181,2532/616 is 1/111496.

Greatest Common Factor of 5669,2532

To find the highest common factor of 5669,2532, we have to find the factors of both numbers and list the highest common factor.

The factors of 5669 are 1, 5669

The factors of 2532 are 1, 2, 3, 4, 6, 12, 211, 422, 633, 844, 1266, 2532

The HCF of 5669,2532 is 1.

Lets's calculate GCF of 5669,2532

Greatest Common Factor (GCF) of 5669,2532 By Common Division

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

Greatest Common Factor of 5669,2532 By Matching Biggest Common Factor Method

Now, list down the factors of 5669

1,5669

Now, list down the factors of 2532

1,2,3,4,6,12,211,422,633,844,1266,2532

Greatest Common Factor

We found the factors 5669,2532 . The biggest common factor number is the GCF number.
So the greatest common factor 5669,2532 is 1.

Lets's calculate LCM of 181,616

Lowest Common Multiple of 181,616 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 111496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111496

Therefore, the GCF of Fractions 5669/181,2532/616 is 1/111496

Least Common Multiple of 181,616 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 181,616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(181,616) = 1

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

GCF(181,616) x common factors =1 x 1 = 1

LCM(181,616) = ( 181 × 616 ) / 1

LCM(181,616) = 111496 / 1

LCM(181,616) = 111496

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FAQs on GCF of Fractions of 5669/181, 2532/616

1. What is the HCF of 5669,2532?

The HCF of 5669,2532 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 5669/181, 2532/616?

Answer: GCF of Numerators as per given numbers 5669/181, 2532/616 is

GCF of Numerators i.e. for 5669,2532 is 1

LCM of denominators i.e. for 181,616 is 111496.

Thus, GCF of Fractions is 1/111496.Finally, GCF of Fractions for 5669/181, 2532/616 is 1/111496.