How to Find GCF of 5045/156, 9969/664?

GCF of 5045/156, 9969/664

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 5045/156, 9969/664 i.e 1/25896 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5045/156, 9969/664.

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 5045/156,9969/664?

Given fractions are 5045/156,9969/664

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 5045/156,9969/664, numerators are 5045,9969

Denominators are 156,664

The GCF of 5045,9969 is 1 .

LCM of 156,664 is 25896.

The greatest common factor of 5045/156,9969/664 = [GCF of 5045,9969]/[LCM of 156,664]= 1/25896

Therefore, the GCF of 5045/156,9969/664 is 1/25896.

Greatest Common Factor of 5045,9969

To find the highest common factor of 5045,9969, we have to find the factors of both numbers and list the highest common factor.

The factors of 5045 are 1, 5, 1009, 5045

The factors of 9969 are 1, 3, 3323, 9969

The HCF of 5045,9969 is 1.

Lets's calculate GCF of 5045,9969

Greatest Common Factor (GCF) of 5045,9969 By Common Division

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

Greatest Common Factor of 5045,9969 By Matching Biggest Common Factor Method

Now, list down the factors of 5045

1,5,1009,5045

Now, list down the factors of 9969

1,3,3323,9969

Greatest Common Factor

We found the factors 5045,9969 . The biggest common factor number is the GCF number.
So the greatest common factor 5045,9969 is 1.

Lets's calculate LCM of 156,664

Lowest Common Multiple of 156,664 using Common Division

2	156, 664
2	78, 332
	39, 166

∴ So the LCM of the given numbers is 2 x 2 x 39 x 166 = 25896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25896

Therefore, the GCF of Fractions 5045/156,9969/664 is 1/25896

Least Common Multiple of 156,664 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 156,664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(156,664) = 4

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

GCF(156,664) x common factors =4 x 1 = 4

LCM(156,664) = ( 156 × 664 ) / 4

LCM(156,664) = 103584 / 4

LCM(156,664) = 25896

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FAQs on GCF of Fractions of 5045/156, 9969/664

1. What is the HCF of 5045,9969?

The HCF of 5045,9969 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 5045/156, 9969/664?

Answer: GCF of Numerators as per given numbers 5045/156, 9969/664 is

GCF of Numerators i.e. for 5045,9969 is 1

LCM of denominators i.e. for 156,664 is 25896.

Thus, GCF of Fractions is 1/25896.Finally, GCF of Fractions for 5045/156, 9969/664 is 1/25896.