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GCF of 290/37, 766/645

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 290/37, 766/645 i.e 2/23865 easily. The following is the detailed procedure to determine the greatest common factor of fractions 290/37, 766/645.

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 290/37,766/645?

Given fractions are 290/37,766/645

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 290/37,766/645, numerators are 290,766

Denominators are 37,645

The GCF of 290,766 is 2 .

LCM of 37,645 is 23865.

The greatest common factor of 290/37,766/645 = [GCF of 290,766]/[LCM of 37,645]= 2/23865

Therefore, the GCF of 290/37,766/645 is 2/23865.

Greatest Common Factor of 290,766

To find the highest common factor of 290,766, we have to find the factors of both numbers and list the highest common factor.

The factors of 290 are 1, 2, 5, 10, 29, 58, 145, 290

The factors of 766 are 1, 2, 383, 766

The HCF of 290,766 is 2.

Lets's calculate GCF of 290,766

Greatest Common Factor (GCF) of 290,766 By Common Division

2 290, 766
145, 383

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

Greatest Common Factor of 290,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 290,766 By Matching Biggest Common Factor Method

Now, list down the factors of 290

:

1,2,5,10,29,58,145,290

Now, list down the factors of 766

:

1,2,383,766

Greatest Common Factor

We found the factors 290,766 . The biggest common factor number is the GCF number.
So the greatest common factor 290,766 is 2.

Lets's calculate LCM of 37,645

Lowest Common Multiple of 37,645 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 23865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/23865

Therefore, the GCF of Fractions 290/37,766/645 is 2/23865

Least Common Multiple of 37,645 with GCF Formula

Least Common Multiple of 37,645 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 37,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,645) = 1

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

GCF(37,645) x common factors =1 x 1 = 1

LCM(37,645) = ( 37 × 645 ) / 1

LCM(37,645) = 23865 / 1

LCM(37,645) = 23865


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FAQs on GCF of Fractions of 290/37, 766/645

1. What is the HCF of 290,766?

The HCF of 290,766 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 290/37, 766/645?

Answer: GCF of Numerators as per given numbers 290/37, 766/645 is

GCF of Numerators i.e. for 290,766 is 2

LCM of denominators i.e. for 37,645 is 23865.

Thus, GCF of Fractions is 2/23865.Finally, GCF of Fractions for 290/37, 766/645 is 2/23865.