How to Find GCF of 5894/174, 8082/6389?

GCF of 5894/174, 8082/6389

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 5894/174, 8082/6389 i.e 2/1111686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5894/174, 8082/6389.

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 5894/174,8082/6389?

Given fractions are 5894/174,8082/6389

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 5894/174,8082/6389, numerators are 5894,8082

Denominators are 174,6389

The GCF of 5894,8082 is 2 .

LCM of 174,6389 is 1111686.

The greatest common factor of 5894/174,8082/6389 = [GCF of 5894,8082]/[LCM of 174,6389]= 2/1111686

Therefore, the GCF of 5894/174,8082/6389 is 2/1111686.

Greatest Common Factor of 5894,8082

To find the highest common factor of 5894,8082, we have to find the factors of both numbers and list the highest common factor.

The factors of 5894 are 1, 2, 7, 14, 421, 842, 2947, 5894

The factors of 8082 are 1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082

The HCF of 5894,8082 is 2.

Lets's calculate GCF of 5894,8082

Greatest Common Factor (GCF) of 5894,8082 By Common Division

2	5894, 8082
	2947, 4041

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

Greatest Common Factor of 5894,8082 By Matching Biggest Common Factor Method

Now, list down the factors of 5894

1,2,7,14,421,842,2947,5894

Now, list down the factors of 8082

1,2,3,6,9,18,449,898,1347,2694,4041,8082

Greatest Common Factor

We found the factors 5894,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 5894,8082 is 2.

Lets's calculate LCM of 174,6389

Lowest Common Multiple of 174,6389 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1111686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1111686

Therefore, the GCF of Fractions 5894/174,8082/6389 is 2/1111686

Least Common Multiple of 174,6389 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 174,6389 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(174,6389) = 1

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

GCF(174,6389) x common factors =1 x 1 = 1

LCM(174,6389) = ( 174 × 6389 ) / 1

LCM(174,6389) = 1111686 / 1

LCM(174,6389) = 1111686

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FAQs on GCF of Fractions of 5894/174, 8082/6389

1. What is the HCF of 5894,8082?

The HCF of 5894,8082 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 5894/174, 8082/6389?

Answer: GCF of Numerators as per given numbers 5894/174, 8082/6389 is

GCF of Numerators i.e. for 5894,8082 is 2

LCM of denominators i.e. for 174,6389 is 1111686.

Thus, GCF of Fractions is 2/1111686.Finally, GCF of Fractions for 5894/174, 8082/6389 is 2/1111686.