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GCF of 389/92, 581/8494

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 389/92, 581/8494 i.e 1/390724 easily. The following is the detailed procedure to determine the greatest common factor of fractions 389/92, 581/8494.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 389/92,581/8494?

Given fractions are 389/92,581/8494

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 389/92,581/8494, numerators are 389,581

Denominators are 92,8494

The GCF of 389,581 is 1 .

LCM of 92,8494 is 390724.

The greatest common factor of 389/92,581/8494 = [GCF of 389,581]/[LCM of 92,8494]= 1/390724

Therefore, the GCF of 389/92,581/8494 is 1/390724.

Greatest Common Factor of 389,581

To find the highest common factor of 389,581, we have to find the factors of both numbers and list the highest common factor.

The factors of 389 are 1, 389

The factors of 581 are 1, 7, 83, 581

The HCF of 389,581 is 1.

Lets's calculate GCF of 389,581

Greatest Common Factor (GCF) of 389,581 By Common Division

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

Greatest Common Factor of 389,581 By Matching Biggest Common Factor Method

Greatest Common Factor of 389,581 By Matching Biggest Common Factor Method

Now, list down the factors of 389

:

1,389

Now, list down the factors of 581

:

1,7,83,581

Greatest Common Factor

We found the factors 389,581 . The biggest common factor number is the GCF number.
So the greatest common factor 389,581 is 1.

Lets's calculate LCM of 92,8494

Lowest Common Multiple of 92,8494 using Common Division

2 92, 8494
46, 4247

∴ So the LCM of the given numbers is 2 x 46 x 4247 = 390724

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/390724

Therefore, the GCF of Fractions 389/92,581/8494 is 1/390724

Least Common Multiple of 92,8494 with GCF Formula

Least Common Multiple of 92,8494 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 92,8494 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,8494) = 2

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

GCF(92,8494) x common factors =2 x 1 = 2

LCM(92,8494) = ( 92 × 8494 ) / 2

LCM(92,8494) = 781448 / 2

LCM(92,8494) = 390724


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FAQs on GCF of Fractions of 389/92, 581/8494

1. What is the HCF of 389,581?

The HCF of 389,581 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 389/92, 581/8494?

Answer: GCF of Numerators as per given numbers 389/92, 581/8494 is

GCF of Numerators i.e. for 389,581 is 1

LCM of denominators i.e. for 92,8494 is 390724.

Thus, GCF of Fractions is 1/390724.Finally, GCF of Fractions for 389/92, 581/8494 is 1/390724.