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GCF of 994/822, 377/172

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 994/822, 377/172 i.e 1/70692 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/822, 377/172.

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 994/822,377/172?

Given fractions are 994/822,377/172

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 994/822,377/172, numerators are 994,377

Denominators are 822,172

The GCF of 994,377 is 1 .

LCM of 822,172 is 70692.

The greatest common factor of 994/822,377/172 = [GCF of 994,377]/[LCM of 822,172]= 1/70692

Therefore, the GCF of 994/822,377/172 is 1/70692.

Greatest Common Factor of 994,377

To find the highest common factor of 994,377, 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 377 are 1, 13, 29, 377

The HCF of 994,377 is 1.

Lets's calculate GCF of 994,377

Greatest Common Factor (GCF) of 994,377 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 994,377 By Matching Biggest Common Factor Method

Greatest Common Factor of 994,377 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 377

:

1,13,29,377

Greatest Common Factor

We found the factors 994,377 . The biggest common factor number is the GCF number.
So the greatest common factor 994,377 is 1.

Lets's calculate LCM of 822,172

Lowest Common Multiple of 822,172 using Common Division

2 822, 172
411, 86

∴ So the LCM of the given numbers is 2 x 411 x 86 = 70692

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/70692

Therefore, the GCF of Fractions 994/822,377/172 is 1/70692

Least Common Multiple of 822,172 with GCF Formula

Least Common Multiple of 822,172 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 822,172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(822,172) = 2

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

GCF(822,172) x common factors =2 x 1 = 2

LCM(822,172) = ( 822 × 172 ) / 2

LCM(822,172) = 141384 / 2

LCM(822,172) = 70692


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FAQs on GCF of Fractions of 994/822, 377/172

1. What is the HCF of 994,377?

The HCF of 994,377 is 1

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 994/822, 377/172?

Answer: GCF of Numerators as per given numbers 994/822, 377/172 is

GCF of Numerators i.e. for 994,377 is 1

LCM of denominators i.e. for 822,172 is 70692.

Thus, GCF of Fractions is 1/70692.Finally, GCF of Fractions for 994/822, 377/172 is 1/70692.