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GCF of 799/48, 835/6514

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 799/48, 835/6514 i.e 1/156336 easily. The following is the detailed procedure to determine the greatest common factor of fractions 799/48, 835/6514.

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 799/48,835/6514?

Given fractions are 799/48,835/6514

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 799/48,835/6514, numerators are 799,835

Denominators are 48,6514

The GCF of 799,835 is 1 .

LCM of 48,6514 is 156336.

The greatest common factor of 799/48,835/6514 = [GCF of 799,835]/[LCM of 48,6514]= 1/156336

Therefore, the GCF of 799/48,835/6514 is 1/156336.

Greatest Common Factor of 799,835

To find the highest common factor of 799,835, we have to find the factors of both numbers and list the highest common factor.

The factors of 799 are 1, 17, 47, 799

The factors of 835 are 1, 5, 167, 835

The HCF of 799,835 is 1.

Lets's calculate GCF of 799,835

Greatest Common Factor (GCF) of 799,835 By Common Division

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

Greatest Common Factor of 799,835 By Matching Biggest Common Factor Method

Greatest Common Factor of 799,835 By Matching Biggest Common Factor Method

Now, list down the factors of 799

:

1,17,47,799

Now, list down the factors of 835

:

1,5,167,835

Greatest Common Factor

We found the factors 799,835 . The biggest common factor number is the GCF number.
So the greatest common factor 799,835 is 1.

Lets's calculate LCM of 48,6514

Lowest Common Multiple of 48,6514 using Common Division

2 48, 6514
24, 3257

∴ So the LCM of the given numbers is 2 x 24 x 3257 = 156336

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/156336

Therefore, the GCF of Fractions 799/48,835/6514 is 1/156336

Least Common Multiple of 48,6514 with GCF Formula

Least Common Multiple of 48,6514 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 48,6514 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,6514) = 2

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

GCF(48,6514) x common factors =2 x 1 = 2

LCM(48,6514) = ( 48 × 6514 ) / 2

LCM(48,6514) = 312672 / 2

LCM(48,6514) = 156336


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FAQs on GCF of Fractions of 799/48, 835/6514

1. What is the HCF of 799,835?

The HCF of 799,835 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 799/48, 835/6514?

Answer: GCF of Numerators as per given numbers 799/48, 835/6514 is

GCF of Numerators i.e. for 799,835 is 1

LCM of denominators i.e. for 48,6514 is 156336.

Thus, GCF of Fractions is 1/156336.Finally, GCF of Fractions for 799/48, 835/6514 is 1/156336.