How to Find GCF of 4159/186, 5302/2219?

GCF of 4159/186, 5302/2219

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 4159/186, 5302/2219 i.e 1/412734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4159/186, 5302/2219.

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 4159/186,5302/2219?

Given fractions are 4159/186,5302/2219

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 4159/186,5302/2219, numerators are 4159,5302

Denominators are 186,2219

The GCF of 4159,5302 is 1 .

LCM of 186,2219 is 412734.

The greatest common factor of 4159/186,5302/2219 = [GCF of 4159,5302]/[LCM of 186,2219]= 1/412734

Therefore, the GCF of 4159/186,5302/2219 is 1/412734.

Greatest Common Factor of 4159,5302

To find the highest common factor of 4159,5302, we have to find the factors of both numbers and list the highest common factor.

The factors of 4159 are 1, 4159

The factors of 5302 are 1, 2, 11, 22, 241, 482, 2651, 5302

The HCF of 4159,5302 is 1.

Lets's calculate GCF of 4159,5302

Greatest Common Factor (GCF) of 4159,5302 By Common Division

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

Greatest Common Factor of 4159,5302 By Matching Biggest Common Factor Method

Now, list down the factors of 4159

1,4159

Now, list down the factors of 5302

1,2,11,22,241,482,2651,5302

Greatest Common Factor

We found the factors 4159,5302 . The biggest common factor number is the GCF number.
So the greatest common factor 4159,5302 is 1.

Lets's calculate LCM of 186,2219

Lowest Common Multiple of 186,2219 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 412734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412734

Therefore, the GCF of Fractions 4159/186,5302/2219 is 1/412734

Least Common Multiple of 186,2219 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 186,2219 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,2219) = 1

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

GCF(186,2219) x common factors =1 x 1 = 1

LCM(186,2219) = ( 186 × 2219 ) / 1

LCM(186,2219) = 412734 / 1

LCM(186,2219) = 412734

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FAQs on GCF of Fractions of 4159/186, 5302/2219

1. What is the HCF of 4159,5302?

The HCF of 4159,5302 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 4159/186, 5302/2219?

Answer: GCF of Numerators as per given numbers 4159/186, 5302/2219 is

GCF of Numerators i.e. for 4159,5302 is 1

LCM of denominators i.e. for 186,2219 is 412734.

Thus, GCF of Fractions is 1/412734.Finally, GCF of Fractions for 4159/186, 5302/2219 is 1/412734.