How to Find GCF of 2179/169, 9032/611?

GCF of 2179/169, 9032/611

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 2179/169, 9032/611 i.e 1/7943 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2179/169, 9032/611.

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 2179/169,9032/611?

Given fractions are 2179/169,9032/611

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 2179/169,9032/611, numerators are 2179,9032

Denominators are 169,611

The GCF of 2179,9032 is 1 .

LCM of 169,611 is 7943.

The greatest common factor of 2179/169,9032/611 = [GCF of 2179,9032]/[LCM of 169,611]= 1/7943

Therefore, the GCF of 2179/169,9032/611 is 1/7943.

Greatest Common Factor of 2179,9032

To find the highest common factor of 2179,9032, we have to find the factors of both numbers and list the highest common factor.

The factors of 2179 are 1, 2179

The factors of 9032 are 1, 2, 4, 8, 1129, 2258, 4516, 9032

The HCF of 2179,9032 is 1.

Lets's calculate GCF of 2179,9032

Greatest Common Factor (GCF) of 2179,9032 By Common Division

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

Greatest Common Factor of 2179,9032 By Matching Biggest Common Factor Method

Now, list down the factors of 2179

1,2179

Now, list down the factors of 9032

1,2,4,8,1129,2258,4516,9032

Greatest Common Factor

We found the factors 2179,9032 . The biggest common factor number is the GCF number.
So the greatest common factor 2179,9032 is 1.

Lets's calculate LCM of 169,611

Lowest Common Multiple of 169,611 using Common Division

13	169, 611
	13, 47

∴ So the LCM of the given numbers is 13 x 13 x 47 = 7943

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7943

Therefore, the GCF of Fractions 2179/169,9032/611 is 1/7943

Least Common Multiple of 169,611 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 169,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(169,611) = 13

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

GCF(169,611) x common factors =13 x 1 = 13

LCM(169,611) = ( 169 × 611 ) / 13

LCM(169,611) = 103259 / 13

LCM(169,611) = 7943

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FAQs on GCF of Fractions of 2179/169, 9032/611

1. What is the HCF of 2179,9032?

The HCF of 2179,9032 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 2179/169, 9032/611?

Answer: GCF of Numerators as per given numbers 2179/169, 9032/611 is

GCF of Numerators i.e. for 2179,9032 is 1

LCM of denominators i.e. for 169,611 is 7943.

Thus, GCF of Fractions is 1/7943.Finally, GCF of Fractions for 2179/169, 9032/611 is 1/7943.