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GCF of 508/47, 382/638

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 508/47, 382/638 i.e 2/29986 easily. The following is the detailed procedure to determine the greatest common factor of fractions 508/47, 382/638.

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 508/47,382/638?

Given fractions are 508/47,382/638

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 508/47,382/638, numerators are 508,382

Denominators are 47,638

The GCF of 508,382 is 2 .

LCM of 47,638 is 29986.

The greatest common factor of 508/47,382/638 = [GCF of 508,382]/[LCM of 47,638]= 2/29986

Therefore, the GCF of 508/47,382/638 is 2/29986.

Greatest Common Factor of 508,382

To find the highest common factor of 508,382, we have to find the factors of both numbers and list the highest common factor.

The factors of 508 are 1, 2, 4, 127, 254, 508

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

The HCF of 508,382 is 2.

Lets's calculate GCF of 508,382

Greatest Common Factor (GCF) of 508,382 By Common Division

2 508, 382
254, 191

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

Greatest Common Factor of 508,382 By Matching Biggest Common Factor Method

Greatest Common Factor of 508,382 By Matching Biggest Common Factor Method

Now, list down the factors of 508

:

1,2,4,127,254,508

Now, list down the factors of 382

:

1,2,191,382

Greatest Common Factor

We found the factors 508,382 . The biggest common factor number is the GCF number.
So the greatest common factor 508,382 is 2.

Lets's calculate LCM of 47,638

Lowest Common Multiple of 47,638 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 29986

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/29986

Therefore, the GCF of Fractions 508/47,382/638 is 2/29986

Least Common Multiple of 47,638 with GCF Formula

Least Common Multiple of 47,638 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 47,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,638) = 1

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

GCF(47,638) x common factors =1 x 1 = 1

LCM(47,638) = ( 47 × 638 ) / 1

LCM(47,638) = 29986 / 1

LCM(47,638) = 29986


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FAQs on GCF of Fractions of 508/47, 382/638

1. What is the HCF of 508,382?

The HCF of 508,382 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 508/47, 382/638?

Answer: GCF of Numerators as per given numbers 508/47, 382/638 is

GCF of Numerators i.e. for 508,382 is 2

LCM of denominators i.e. for 47,638 is 29986.

Thus, GCF of Fractions is 2/29986.Finally, GCF of Fractions for 508/47, 382/638 is 2/29986.