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GCF of 442/94, 698/327

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 442/94, 698/327 i.e 2/30738 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/94, 698/327.

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 442/94,698/327?

Given fractions are 442/94,698/327

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 442/94,698/327, numerators are 442,698

Denominators are 94,327

The GCF of 442,698 is 2 .

LCM of 94,327 is 30738.

The greatest common factor of 442/94,698/327 = [GCF of 442,698]/[LCM of 94,327]= 2/30738

Therefore, the GCF of 442/94,698/327 is 2/30738.

Greatest Common Factor of 442,698

To find the highest common factor of 442,698, we have to find the factors of both numbers and list the highest common factor.

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The factors of 698 are 1, 2, 349, 698

The HCF of 442,698 is 2.

Lets's calculate GCF of 442,698

Greatest Common Factor (GCF) of 442,698 By Common Division

2 442, 698
221, 349

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

Greatest Common Factor of 442,698 By Matching Biggest Common Factor Method

Greatest Common Factor of 442,698 By Matching Biggest Common Factor Method

Now, list down the factors of 442

:

1,2,13,17,26,34,221,442

Now, list down the factors of 698

:

1,2,349,698

Greatest Common Factor

We found the factors 442,698 . The biggest common factor number is the GCF number.
So the greatest common factor 442,698 is 2.

Lets's calculate LCM of 94,327

Lowest Common Multiple of 94,327 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 30738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30738

Therefore, the GCF of Fractions 442/94,698/327 is 2/30738

Least Common Multiple of 94,327 with GCF Formula

Least Common Multiple of 94,327 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 94,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,327) = 1

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

GCF(94,327) x common factors =1 x 1 = 1

LCM(94,327) = ( 94 × 327 ) / 1

LCM(94,327) = 30738 / 1

LCM(94,327) = 30738


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FAQs on GCF of Fractions of 442/94, 698/327

1. What is the HCF of 442,698?

The HCF of 442,698 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 442/94, 698/327?

Answer: GCF of Numerators as per given numbers 442/94, 698/327 is

GCF of Numerators i.e. for 442,698 is 2

LCM of denominators i.e. for 94,327 is 30738.

Thus, GCF of Fractions is 2/30738.Finally, GCF of Fractions for 442/94, 698/327 is 2/30738.