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GCF of 250/37, 822/940

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 250/37, 822/940 i.e 2/34780 easily. The following is the detailed procedure to determine the greatest common factor of fractions 250/37, 822/940.

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 250/37,822/940?

Given fractions are 250/37,822/940

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 250/37,822/940, numerators are 250,822

Denominators are 37,940

The GCF of 250,822 is 2 .

LCM of 37,940 is 34780.

The greatest common factor of 250/37,822/940 = [GCF of 250,822]/[LCM of 37,940]= 2/34780

Therefore, the GCF of 250/37,822/940 is 2/34780.

Greatest Common Factor of 250,822

To find the highest common factor of 250,822, we have to find the factors of both numbers and list the highest common factor.

The factors of 250 are 1, 2, 5, 10, 25, 50, 125, 250

The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822

The HCF of 250,822 is 2.

Lets's calculate GCF of 250,822

Greatest Common Factor (GCF) of 250,822 By Common Division

2 250, 822
125, 411

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

Greatest Common Factor of 250,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 250,822 By Matching Biggest Common Factor Method

Now, list down the factors of 250

:

1,2,5,10,25,50,125,250

Now, list down the factors of 822

:

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 250,822 . The biggest common factor number is the GCF number.
So the greatest common factor 250,822 is 2.

Lets's calculate LCM of 37,940

Lowest Common Multiple of 37,940 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 34780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34780

Therefore, the GCF of Fractions 250/37,822/940 is 2/34780

Least Common Multiple of 37,940 with GCF Formula

Least Common Multiple of 37,940 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 37,940 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,940) = 1

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

GCF(37,940) x common factors =1 x 1 = 1

LCM(37,940) = ( 37 × 940 ) / 1

LCM(37,940) = 34780 / 1

LCM(37,940) = 34780


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FAQs on GCF of Fractions of 250/37, 822/940

1. What is the HCF of 250,822?

The HCF of 250,822 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 250/37, 822/940?

Answer: GCF of Numerators as per given numbers 250/37, 822/940 is

GCF of Numerators i.e. for 250,822 is 2

LCM of denominators i.e. for 37,940 is 34780.

Thus, GCF of Fractions is 2/34780.Finally, GCF of Fractions for 250/37, 822/940 is 2/34780.