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GCF of 382/439, 3694/505

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 382/439, 3694/505 i.e 2/221695 easily. The following is the detailed procedure to determine the greatest common factor of fractions 382/439, 3694/505.

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 382/439,3694/505?

Given fractions are 382/439,3694/505

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 382/439,3694/505, numerators are 382,3694

Denominators are 439,505

The GCF of 382,3694 is 2 .

LCM of 439,505 is 221695.

The greatest common factor of 382/439,3694/505 = [GCF of 382,3694]/[LCM of 439,505]= 2/221695

Therefore, the GCF of 382/439,3694/505 is 2/221695.

Greatest Common Factor of 382,3694

To find the highest common factor of 382,3694, we have to find the factors of both numbers and list the highest common factor.

The factors of 382 are 1, 2, 191, 382

The factors of 3694 are 1, 2, 1847, 3694

The HCF of 382,3694 is 2.

Lets's calculate GCF of 382,3694

Greatest Common Factor (GCF) of 382,3694 By Common Division

2 382, 3694
191, 1847

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

Greatest Common Factor of 382,3694 By Matching Biggest Common Factor Method

Greatest Common Factor of 382,3694 By Matching Biggest Common Factor Method

Now, list down the factors of 382

:

1,2,191,382

Now, list down the factors of 3694

:

1,2,1847,3694

Greatest Common Factor

We found the factors 382,3694 . The biggest common factor number is the GCF number.
So the greatest common factor 382,3694 is 2.

Lets's calculate LCM of 439,505

Lowest Common Multiple of 439,505 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 221695

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/221695

Therefore, the GCF of Fractions 382/439,3694/505 is 2/221695

Least Common Multiple of 439,505 with GCF Formula

Least Common Multiple of 439,505 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 439,505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(439,505) = 1

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

GCF(439,505) x common factors =1 x 1 = 1

LCM(439,505) = ( 439 × 505 ) / 1

LCM(439,505) = 221695 / 1

LCM(439,505) = 221695


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FAQs on GCF of Fractions of 382/439, 3694/505

1. What is the HCF of 382,3694?

The HCF of 382,3694 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 382/439, 3694/505?

Answer: GCF of Numerators as per given numbers 382/439, 3694/505 is

GCF of Numerators i.e. for 382,3694 is 2

LCM of denominators i.e. for 439,505 is 221695.

Thus, GCF of Fractions is 2/221695.Finally, GCF of Fractions for 382/439, 3694/505 is 2/221695.