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GCF of 935/296, 6449/629

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 935/296, 6449/629 i.e 1/5032 easily. The following is the detailed procedure to determine the greatest common factor of fractions 935/296, 6449/629.

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 935/296,6449/629?

Given fractions are 935/296,6449/629

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 935/296,6449/629, numerators are 935,6449

Denominators are 296,629

The GCF of 935,6449 is 1 .

LCM of 296,629 is 5032.

The greatest common factor of 935/296,6449/629 = [GCF of 935,6449]/[LCM of 296,629]= 1/5032

Therefore, the GCF of 935/296,6449/629 is 1/5032.

Greatest Common Factor of 935,6449

To find the highest common factor of 935,6449, we have to find the factors of both numbers and list the highest common factor.

The factors of 935 are 1, 5, 11, 17, 55, 85, 187, 935

The factors of 6449 are 1, 6449

The HCF of 935,6449 is 1.

Lets's calculate GCF of 935,6449

Greatest Common Factor (GCF) of 935,6449 By Common Division

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

Greatest Common Factor of 935,6449 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,6449 By Matching Biggest Common Factor Method

Now, list down the factors of 935

:

1,5,11,17,55,85,187,935

Now, list down the factors of 6449

:

1,6449

Greatest Common Factor

We found the factors 935,6449 . The biggest common factor number is the GCF number.
So the greatest common factor 935,6449 is 1.

Lets's calculate LCM of 296,629

Lowest Common Multiple of 296,629 using Common Division

37 296, 629
8, 17

∴ So the LCM of the given numbers is 37 x 8 x 17 = 5032

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5032

Therefore, the GCF of Fractions 935/296,6449/629 is 1/5032

Least Common Multiple of 296,629 with GCF Formula

Least Common Multiple of 296,629 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 296,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(296,629) = 37

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

GCF(296,629) x common factors =37 x 1 = 37

LCM(296,629) = ( 296 × 629 ) / 37

LCM(296,629) = 186184 / 37

LCM(296,629) = 5032


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FAQs on GCF of Fractions of 935/296, 6449/629

1. What is the HCF of 935,6449?

The HCF of 935,6449 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 935/296, 6449/629?

Answer: GCF of Numerators as per given numbers 935/296, 6449/629 is

GCF of Numerators i.e. for 935,6449 is 1

LCM of denominators i.e. for 296,629 is 5032.

Thus, GCF of Fractions is 1/5032.Finally, GCF of Fractions for 935/296, 6449/629 is 1/5032.