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GCF of 679/289, 5002/194

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 679/289, 5002/194 i.e 1/56066 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/289, 5002/194.

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 679/289,5002/194?

Given fractions are 679/289,5002/194

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 679/289,5002/194, numerators are 679,5002

Denominators are 289,194

The GCF of 679,5002 is 1 .

LCM of 289,194 is 56066.

The greatest common factor of 679/289,5002/194 = [GCF of 679,5002]/[LCM of 289,194]= 1/56066

Therefore, the GCF of 679/289,5002/194 is 1/56066.

Greatest Common Factor of 679,5002

To find the highest common factor of 679,5002, we have to find the factors of both numbers and list the highest common factor.

The factors of 679 are 1, 7, 97, 679

The factors of 5002 are 1, 2, 41, 61, 82, 122, 2501, 5002

The HCF of 679,5002 is 1.

Lets's calculate GCF of 679,5002

Greatest Common Factor (GCF) of 679,5002 By Common Division

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

Greatest Common Factor of 679,5002 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,5002 By Matching Biggest Common Factor Method

Now, list down the factors of 679

:

1,7,97,679

Now, list down the factors of 5002

:

1,2,41,61,82,122,2501,5002

Greatest Common Factor

We found the factors 679,5002 . The biggest common factor number is the GCF number.
So the greatest common factor 679,5002 is 1.

Lets's calculate LCM of 289,194

Lowest Common Multiple of 289,194 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 56066

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56066

Therefore, the GCF of Fractions 679/289,5002/194 is 1/56066

Least Common Multiple of 289,194 with GCF Formula

Least Common Multiple of 289,194 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 289,194 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,194) = 1

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

GCF(289,194) x common factors =1 x 1 = 1

LCM(289,194) = ( 289 × 194 ) / 1

LCM(289,194) = 56066 / 1

LCM(289,194) = 56066


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FAQs on GCF of Fractions of 679/289, 5002/194

1. What is the HCF of 679,5002?

The HCF of 679,5002 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 679/289, 5002/194?

Answer: GCF of Numerators as per given numbers 679/289, 5002/194 is

GCF of Numerators i.e. for 679,5002 is 1

LCM of denominators i.e. for 289,194 is 56066.

Thus, GCF of Fractions is 1/56066.Finally, GCF of Fractions for 679/289, 5002/194 is 1/56066.