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GCF of 662/28, 508/2286

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 662/28, 508/2286 i.e 2/32004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/28, 508/2286.

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 662/28,508/2286?

Given fractions are 662/28,508/2286

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 662/28,508/2286, numerators are 662,508

Denominators are 28,2286

The GCF of 662,508 is 2 .

LCM of 28,2286 is 32004.

The greatest common factor of 662/28,508/2286 = [GCF of 662,508]/[LCM of 28,2286]= 2/32004

Therefore, the GCF of 662/28,508/2286 is 2/32004.

Greatest Common Factor of 662,508

To find the highest common factor of 662,508, we have to find the factors of both numbers and list the highest common factor.

The factors of 662 are 1, 2, 331, 662

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

The HCF of 662,508 is 2.

Lets's calculate GCF of 662,508

Greatest Common Factor (GCF) of 662,508 By Common Division

2 662, 508
331, 254

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

Greatest Common Factor of 662,508 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,508 By Matching Biggest Common Factor Method

Now, list down the factors of 662

:

1,2,331,662

Now, list down the factors of 508

:

1,2,4,127,254,508

Greatest Common Factor

We found the factors 662,508 . The biggest common factor number is the GCF number.
So the greatest common factor 662,508 is 2.


Lets's calculate LCM of 28,2286

Lowest Common Multiple of 28,2286 using Common Division

2 28, 2286
14, 1143

∴ So the LCM of the given numbers is 2 x 14 x 1143 = 32004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/32004

Therefore, the GCF of Fractions 662/28,508/2286 is 2/32004

Least Common Multiple of 28,2286 with GCF Formula

Least Common Multiple of 28,2286 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 28,2286 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,2286) = 2

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

GCF(28,2286) x common factors =2 x 1 = 2

LCM(28,2286) = ( 28 × 2286 ) / 2

LCM(28,2286) = 64008 / 2

LCM(28,2286) = 32004


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 662/28, 508/2286

1. What is the HCF of 662,508?

The HCF of 662,508 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 662/28, 508/2286?

Answer: GCF of Numerators as per given numbers 662/28, 508/2286 is

GCF of Numerators i.e. for 662,508 is 2

LCM of denominators i.e. for 28,2286 is 32004.

Thus, GCF of Fractions is 2/32004.Finally, GCF of Fractions for 662/28, 508/2286 is 2/32004.