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GCF of 399/51, 769/549

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 399/51, 769/549 i.e 1/9333 easily. The following is the detailed procedure to determine the greatest common factor of fractions 399/51, 769/549.

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 399/51,769/549?

Given fractions are 399/51,769/549

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 399/51,769/549, numerators are 399,769

Denominators are 51,549

The GCF of 399,769 is 1 .

LCM of 51,549 is 9333.

The greatest common factor of 399/51,769/549 = [GCF of 399,769]/[LCM of 51,549]= 1/9333

Therefore, the GCF of 399/51,769/549 is 1/9333.

Greatest Common Factor of 399,769

To find the highest common factor of 399,769, we have to find the factors of both numbers and list the highest common factor.

The factors of 399 are 1, 3, 7, 19, 21, 57, 133, 399

The factors of 769 are 1, 769

The HCF of 399,769 is 1.

Lets's calculate GCF of 399,769

Greatest Common Factor (GCF) of 399,769 By Common Division

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

Greatest Common Factor of 399,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 399,769 By Matching Biggest Common Factor Method

Now, list down the factors of 399

:

1,3,7,19,21,57,133,399

Now, list down the factors of 769

:

1,769

Greatest Common Factor

We found the factors 399,769 . The biggest common factor number is the GCF number.
So the greatest common factor 399,769 is 1.

Lets's calculate LCM of 51,549

Lowest Common Multiple of 51,549 using Common Division

3 51, 549
17, 183

∴ So the LCM of the given numbers is 3 x 17 x 183 = 9333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9333

Therefore, the GCF of Fractions 399/51,769/549 is 1/9333

Least Common Multiple of 51,549 with GCF Formula

Least Common Multiple of 51,549 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 51,549 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,549) = 3

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

GCF(51,549) x common factors =3 x 1 = 3

LCM(51,549) = ( 51 × 549 ) / 3

LCM(51,549) = 27999 / 3

LCM(51,549) = 9333


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FAQs on GCF of Fractions of 399/51, 769/549

1. What is the HCF of 399,769?

The HCF of 399,769 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 399/51, 769/549?

Answer: GCF of Numerators as per given numbers 399/51, 769/549 is

GCF of Numerators i.e. for 399,769 is 1

LCM of denominators i.e. for 51,549 is 9333.

Thus, GCF of Fractions is 1/9333.Finally, GCF of Fractions for 399/51, 769/549 is 1/9333.