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GCF of 294/289, 837/767

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 294/289, 837/767 i.e 3/221663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/289, 837/767.

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 294/289,837/767?

Given fractions are 294/289,837/767

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 294/289,837/767, numerators are 294,837

Denominators are 289,767

The GCF of 294,837 is 3 .

LCM of 289,767 is 221663.

The greatest common factor of 294/289,837/767 = [GCF of 294,837]/[LCM of 289,767]= 3/221663

Therefore, the GCF of 294/289,837/767 is 3/221663.

Greatest Common Factor of 294,837

To find the highest common factor of 294,837, we have to find the factors of both numbers and list the highest common factor.

The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294

The factors of 837 are 1, 3, 9, 27, 31, 93, 279, 837

The HCF of 294,837 is 3.

Lets's calculate GCF of 294,837

Greatest Common Factor (GCF) of 294,837 By Common Division

3 294, 837
98, 279

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 294,837 By Matching Biggest Common Factor Method

Greatest Common Factor of 294,837 By Matching Biggest Common Factor Method

Now, list down the factors of 294

:

1,2,3,6,7,14,21,42,49,98,147,294

Now, list down the factors of 837

:

1,3,9,27,31,93,279,837

Greatest Common Factor

We found the factors 294,837 . The biggest common factor number is the GCF number.
So the greatest common factor 294,837 is 3.

Lets's calculate LCM of 289,767

Lowest Common Multiple of 289,767 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 221663

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/221663

Therefore, the GCF of Fractions 294/289,837/767 is 3/221663

Least Common Multiple of 289,767 with GCF Formula

Least Common Multiple of 289,767 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 289,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,767) = 1

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

GCF(289,767) x common factors =1 x 1 = 1

LCM(289,767) = ( 289 × 767 ) / 1

LCM(289,767) = 221663 / 1

LCM(289,767) = 221663


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FAQs on GCF of Fractions of 294/289, 837/767

1. What is the HCF of 294,837?

The HCF of 294,837 is 3

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 294/289, 837/767?

Answer: GCF of Numerators as per given numbers 294/289, 837/767 is

GCF of Numerators i.e. for 294,837 is 3

LCM of denominators i.e. for 289,767 is 221663.

Thus, GCF of Fractions is 3/221663.Finally, GCF of Fractions for 294/289, 837/767 is 3/221663.