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GCF of 662/38, 280/735

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 662/38, 280/735 i.e 2/27930 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/38, 280/735.

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 662/38,280/735?

Given fractions are 662/38,280/735

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 662/38,280/735, numerators are 662,280

Denominators are 38,735

The GCF of 662,280 is 2 .

LCM of 38,735 is 27930.

The greatest common factor of 662/38,280/735 = [GCF of 662,280]/[LCM of 38,735]= 2/27930

Therefore, the GCF of 662/38,280/735 is 2/27930.

Greatest Common Factor of 662,280

To find the highest common factor of 662,280, 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 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

The HCF of 662,280 is 2.

Lets's calculate GCF of 662,280

Greatest Common Factor (GCF) of 662,280 By Common Division

2 662, 280
331, 140

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

Greatest Common Factor of 662,280 By Matching Biggest Common Factor Method

Greatest Common Factor of 662,280 By Matching Biggest Common Factor Method

Now, list down the factors of 662

:

1,2,331,662

Now, list down the factors of 280

:

1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280

Greatest Common Factor

We found the factors 662,280 . The biggest common factor number is the GCF number.
So the greatest common factor 662,280 is 2.

Lets's calculate LCM of 38,735

Lowest Common Multiple of 38,735 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 27930

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/27930

Therefore, the GCF of Fractions 662/38,280/735 is 2/27930

Least Common Multiple of 38,735 with GCF Formula

Least Common Multiple of 38,735 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 38,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,735) = 1

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

GCF(38,735) x common factors =1 x 1 = 1

LCM(38,735) = ( 38 × 735 ) / 1

LCM(38,735) = 27930 / 1

LCM(38,735) = 27930


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FAQs on GCF of Fractions of 662/38, 280/735

1. What is the HCF of 662,280?

The HCF of 662,280 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 662/38, 280/735?

Answer: GCF of Numerators as per given numbers 662/38, 280/735 is

GCF of Numerators i.e. for 662,280 is 2

LCM of denominators i.e. for 38,735 is 27930.

Thus, GCF of Fractions is 2/27930.Finally, GCF of Fractions for 662/38, 280/735 is 2/27930.