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GCF of 994/179, 822/905

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 994/179, 822/905 i.e 2/161995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/179, 822/905.

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 994/179,822/905?

Given fractions are 994/179,822/905

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 994/179,822/905, numerators are 994,822

Denominators are 179,905

The GCF of 994,822 is 2 .

LCM of 179,905 is 161995.

The greatest common factor of 994/179,822/905 = [GCF of 994,822]/[LCM of 179,905]= 2/161995

Therefore, the GCF of 994/179,822/905 is 2/161995.

Greatest Common Factor of 994,822

To find the highest common factor of 994,822, we have to find the factors of both numbers and list the highest common factor.

The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994

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

The HCF of 994,822 is 2.

Lets's calculate GCF of 994,822

Greatest Common Factor (GCF) of 994,822 By Common Division

2 994, 822
497, 411

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

Greatest Common Factor of 994,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,822 By Matching Biggest Common Factor Method

Now, list down the factors of 994

:

1,2,7,14,71,142,497,994

Now, list down the factors of 822

:

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

Greatest Common Factor

We found the factors 994,822 . The biggest common factor number is the GCF number.
So the greatest common factor 994,822 is 2.

Lets's calculate LCM of 179,905

Lowest Common Multiple of 179,905 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 161995

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/161995

Therefore, the GCF of Fractions 994/179,822/905 is 2/161995

Least Common Multiple of 179,905 with GCF Formula

Least Common Multiple of 179,905 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 179,905 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(179,905) = 1

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

GCF(179,905) x common factors =1 x 1 = 1

LCM(179,905) = ( 179 × 905 ) / 1

LCM(179,905) = 161995 / 1

LCM(179,905) = 161995


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FAQs on GCF of Fractions of 994/179, 822/905

1. What is the HCF of 994,822?

The HCF of 994,822 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 994/179, 822/905?

Answer: GCF of Numerators as per given numbers 994/179, 822/905 is

GCF of Numerators i.e. for 994,822 is 2

LCM of denominators i.e. for 179,905 is 161995.

Thus, GCF of Fractions is 2/161995.Finally, GCF of Fractions for 994/179, 822/905 is 2/161995.