How to Find GCF of 994/272, 341/776?

GCF of 994/272, 341/776

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 994/272, 341/776 i.e 1/26384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/272, 341/776.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 994/272,341/776?

Given fractions are 994/272,341/776

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 994/272,341/776, numerators are 994,341

Denominators are 272,776

The GCF of 994,341 is 1 .

LCM of 272,776 is 26384.

The greatest common factor of 994/272,341/776 = [GCF of 994,341]/[LCM of 272,776]= 1/26384

Therefore, the GCF of 994/272,341/776 is 1/26384.

Greatest Common Factor of 994,341

To find the highest common factor of 994,341, 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 341 are 1, 11, 31, 341

The HCF of 994,341 is 1.

Lets's calculate GCF of 994,341

Greatest Common Factor (GCF) of 994,341 By Common Division

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

Greatest Common Factor of 994,341 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 341

1,11,31,341

Greatest Common Factor

We found the factors 994,341 . The biggest common factor number is the GCF number.
So the greatest common factor 994,341 is 1.

Lets's calculate LCM of 272,776

Lowest Common Multiple of 272,776 using Common Division

2	272, 776
2	136, 388
2	68, 194
	34, 97

∴ So the LCM of the given numbers is 2 x 2 x 2 x 34 x 97 = 26384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26384

Therefore, the GCF of Fractions 994/272,341/776 is 1/26384

Least Common Multiple of 272,776 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 272,776 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(272,776) = 8

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

GCF(272,776) x common factors =8 x 1 = 8

LCM(272,776) = ( 272 × 776 ) / 8

LCM(272,776) = 211072 / 8

LCM(272,776) = 26384

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FAQs on GCF of Fractions of 994/272, 341/776

1. What is the HCF of 994,341?

The HCF of 994,341 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 994/272, 341/776?

Answer: GCF of Numerators as per given numbers 994/272, 341/776 is

GCF of Numerators i.e. for 994,341 is 1

LCM of denominators i.e. for 272,776 is 26384.

Thus, GCF of Fractions is 1/26384.Finally, GCF of Fractions for 994/272, 341/776 is 1/26384.