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GCF of 9859/513, 3839/5664

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 9859/513, 3839/5664 i.e 1/968544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9859/513, 3839/5664.

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 9859/513,3839/5664?

Given fractions are 9859/513,3839/5664

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 9859/513,3839/5664, numerators are 9859,3839

Denominators are 513,5664

The GCF of 9859,3839 is 1 .

LCM of 513,5664 is 968544.

The greatest common factor of 9859/513,3839/5664 = [GCF of 9859,3839]/[LCM of 513,5664]= 1/968544

Therefore, the GCF of 9859/513,3839/5664 is 1/968544.

Greatest Common Factor of 9859,3839

To find the highest common factor of 9859,3839, we have to find the factors of both numbers and list the highest common factor.

The factors of 9859 are 1, 9859

The factors of 3839 are 1, 11, 349, 3839

The HCF of 9859,3839 is 1.

Lets's calculate GCF of 9859,3839

Greatest Common Factor (GCF) of 9859,3839 By Common Division

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

Greatest Common Factor of 9859,3839 By Matching Biggest Common Factor Method

Greatest Common Factor of 9859,3839 By Matching Biggest Common Factor Method

Now, list down the factors of 9859

:

1,9859

Now, list down the factors of 3839

:

1,11,349,3839

Greatest Common Factor

We found the factors 9859,3839 . The biggest common factor number is the GCF number.
So the greatest common factor 9859,3839 is 1.

Lets's calculate LCM of 513,5664

Lowest Common Multiple of 513,5664 using Common Division

3 513, 5664
171, 1888

∴ So the LCM of the given numbers is 3 x 171 x 1888 = 968544

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/968544

Therefore, the GCF of Fractions 9859/513,3839/5664 is 1/968544

Least Common Multiple of 513,5664 with GCF Formula

Least Common Multiple of 513,5664 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 513,5664 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,5664) = 3

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

GCF(513,5664) x common factors =3 x 1 = 3

LCM(513,5664) = ( 513 × 5664 ) / 3

LCM(513,5664) = 2905632 / 3

LCM(513,5664) = 968544


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FAQs on GCF of Fractions of 9859/513, 3839/5664

1. What is the HCF of 9859,3839?

The HCF of 9859,3839 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 9859/513, 3839/5664?

Answer: GCF of Numerators as per given numbers 9859/513, 3839/5664 is

GCF of Numerators i.e. for 9859,3839 is 1

LCM of denominators i.e. for 513,5664 is 968544.

Thus, GCF of Fractions is 1/968544.Finally, GCF of Fractions for 9859/513, 3839/5664 is 1/968544.