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GCF of 679/326, 518/669

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 679/326, 518/669 i.e 7/218094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 679/326, 518/669.

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 679/326,518/669?

Given fractions are 679/326,518/669

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 679/326,518/669, numerators are 679,518

Denominators are 326,669

The GCF of 679,518 is 7 .

LCM of 326,669 is 218094.

The greatest common factor of 679/326,518/669 = [GCF of 679,518]/[LCM of 326,669]= 7/218094

Therefore, the GCF of 679/326,518/669 is 7/218094.

Greatest Common Factor of 679,518

To find the highest common factor of 679,518, 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 518 are 1, 2, 7, 14, 37, 74, 259, 518

The HCF of 679,518 is 7.

Lets's calculate GCF of 679,518

Greatest Common Factor (GCF) of 679,518 By Common Division

7 679, 518
97, 74

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 679,518 By Matching Biggest Common Factor Method

Greatest Common Factor of 679,518 By Matching Biggest Common Factor Method

Now, list down the factors of 679

:

1,7,97,679

Now, list down the factors of 518

:

1,2,7,14,37,74,259,518

Greatest Common Factor

We found the factors 679,518 . The biggest common factor number is the GCF number.
So the greatest common factor 679,518 is 7.

Lets's calculate LCM of 326,669

Lowest Common Multiple of 326,669 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 218094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/218094

Therefore, the GCF of Fractions 679/326,518/669 is 7/218094

Least Common Multiple of 326,669 with GCF Formula

Least Common Multiple of 326,669 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 326,669 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(326,669) = 1

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

GCF(326,669) x common factors =1 x 1 = 1

LCM(326,669) = ( 326 × 669 ) / 1

LCM(326,669) = 218094 / 1

LCM(326,669) = 218094


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FAQs on GCF of Fractions of 679/326, 518/669

1. What is the HCF of 679,518?

The HCF of 679,518 is 7

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 679/326, 518/669?

Answer: GCF of Numerators as per given numbers 679/326, 518/669 is

GCF of Numerators i.e. for 679,518 is 7

LCM of denominators i.e. for 326,669 is 218094.

Thus, GCF of Fractions is 7/218094.Finally, GCF of Fractions for 679/326, 518/669 is 7/218094.