How to Find GCF of 8629/184, 3179/8827?

GCF of 8629/184, 3179/8827

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 8629/184, 3179/8827 i.e 1/1624168 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8629/184, 3179/8827.

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 8629/184,3179/8827?

Given fractions are 8629/184,3179/8827

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 8629/184,3179/8827, numerators are 8629,3179

Denominators are 184,8827

The GCF of 8629,3179 is 1 .

LCM of 184,8827 is 1624168.

The greatest common factor of 8629/184,3179/8827 = [GCF of 8629,3179]/[LCM of 184,8827]= 1/1624168

Therefore, the GCF of 8629/184,3179/8827 is 1/1624168.

Greatest Common Factor of 8629,3179

To find the highest common factor of 8629,3179, we have to find the factors of both numbers and list the highest common factor.

The factors of 8629 are 1, 8629

The factors of 3179 are 1, 11, 17, 187, 289, 3179

The HCF of 8629,3179 is 1.

Lets's calculate GCF of 8629,3179

Greatest Common Factor (GCF) of 8629,3179 By Common Division

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

Greatest Common Factor of 8629,3179 By Matching Biggest Common Factor Method

Now, list down the factors of 8629

1,8629

Now, list down the factors of 3179

1,11,17,187,289,3179

Greatest Common Factor

We found the factors 8629,3179 . The biggest common factor number is the GCF number.
So the greatest common factor 8629,3179 is 1.

Lets's calculate LCM of 184,8827

Lowest Common Multiple of 184,8827 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1624168

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1624168

Therefore, the GCF of Fractions 8629/184,3179/8827 is 1/1624168

Least Common Multiple of 184,8827 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 184,8827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(184,8827) = 1

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

GCF(184,8827) x common factors =1 x 1 = 1

LCM(184,8827) = ( 184 × 8827 ) / 1

LCM(184,8827) = 1624168 / 1

LCM(184,8827) = 1624168

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FAQs on GCF of Fractions of 8629/184, 3179/8827

1. What is the HCF of 8629,3179?

The HCF of 8629,3179 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 8629/184, 3179/8827?

Answer: GCF of Numerators as per given numbers 8629/184, 3179/8827 is

GCF of Numerators i.e. for 8629,3179 is 1

LCM of denominators i.e. for 184,8827 is 1624168.

Thus, GCF of Fractions is 1/1624168.Finally, GCF of Fractions for 8629/184, 3179/8827 is 1/1624168.