How to Find GCF of 4386/189, 5078/3022?

GCF of 4386/189, 5078/3022

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 4386/189, 5078/3022 i.e 2/571158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4386/189, 5078/3022.

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 4386/189,5078/3022?

Given fractions are 4386/189,5078/3022

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 4386/189,5078/3022, numerators are 4386,5078

Denominators are 189,3022

The GCF of 4386,5078 is 2 .

LCM of 189,3022 is 571158.

The greatest common factor of 4386/189,5078/3022 = [GCF of 4386,5078]/[LCM of 189,3022]= 2/571158

Therefore, the GCF of 4386/189,5078/3022 is 2/571158.

Greatest Common Factor of 4386,5078

To find the highest common factor of 4386,5078, we have to find the factors of both numbers and list the highest common factor.

The factors of 4386 are 1, 2, 3, 6, 17, 34, 43, 51, 86, 102, 129, 258, 731, 1462, 2193, 4386

The factors of 5078 are 1, 2, 2539, 5078

The HCF of 4386,5078 is 2.

Lets's calculate GCF of 4386,5078

Greatest Common Factor (GCF) of 4386,5078 By Common Division

2	4386, 5078
	2193, 2539

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 4386,5078 By Matching Biggest Common Factor Method

Now, list down the factors of 4386

1,2,3,6,17,34,43,51,86,102,129,258,731,1462,2193,4386

Now, list down the factors of 5078

1,2,2539,5078

Greatest Common Factor

We found the factors 4386,5078 . The biggest common factor number is the GCF number.
So the greatest common factor 4386,5078 is 2.

Lets's calculate LCM of 189,3022

Lowest Common Multiple of 189,3022 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 571158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/571158

Therefore, the GCF of Fractions 4386/189,5078/3022 is 2/571158

Least Common Multiple of 189,3022 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 189,3022 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,3022) = 1

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

GCF(189,3022) x common factors =1 x 1 = 1

LCM(189,3022) = ( 189 × 3022 ) / 1

LCM(189,3022) = 571158 / 1

LCM(189,3022) = 571158

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4386/189, 5078/3022

1. What is the HCF of 4386,5078?

The HCF of 4386,5078 is 2

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 4386/189, 5078/3022?

Answer: GCF of Numerators as per given numbers 4386/189, 5078/3022 is

GCF of Numerators i.e. for 4386,5078 is 2

LCM of denominators i.e. for 189,3022 is 571158.

Thus, GCF of Fractions is 2/571158.Finally, GCF of Fractions for 4386/189, 5078/3022 is 2/571158.