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GCF of 4835/359, 2011/9525

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 4835/359, 2011/9525 i.e 1/3419475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4835/359, 2011/9525.

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 4835/359,2011/9525?

Given fractions are 4835/359,2011/9525

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 4835/359,2011/9525, numerators are 4835,2011

Denominators are 359,9525

The GCF of 4835,2011 is 1 .

LCM of 359,9525 is 3419475.

The greatest common factor of 4835/359,2011/9525 = [GCF of 4835,2011]/[LCM of 359,9525]= 1/3419475

Therefore, the GCF of 4835/359,2011/9525 is 1/3419475.

Greatest Common Factor of 4835,2011

To find the highest common factor of 4835,2011, we have to find the factors of both numbers and list the highest common factor.

The factors of 4835 are 1, 5, 967, 4835

The factors of 2011 are 1, 2011

The HCF of 4835,2011 is 1.

Lets's calculate GCF of 4835,2011

Greatest Common Factor (GCF) of 4835,2011 By Common Division

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

Greatest Common Factor of 4835,2011 By Matching Biggest Common Factor Method

Greatest Common Factor of 4835,2011 By Matching Biggest Common Factor Method

Now, list down the factors of 4835

:

1,5,967,4835

Now, list down the factors of 2011

:

1,2011

Greatest Common Factor

We found the factors 4835,2011 . The biggest common factor number is the GCF number.
So the greatest common factor 4835,2011 is 1.

Lets's calculate LCM of 359,9525

Lowest Common Multiple of 359,9525 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3419475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3419475

Therefore, the GCF of Fractions 4835/359,2011/9525 is 1/3419475

Least Common Multiple of 359,9525 with GCF Formula

Least Common Multiple of 359,9525 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 359,9525 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,9525) = 1

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

GCF(359,9525) x common factors =1 x 1 = 1

LCM(359,9525) = ( 359 × 9525 ) / 1

LCM(359,9525) = 3419475 / 1

LCM(359,9525) = 3419475


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FAQs on GCF of Fractions of 4835/359, 2011/9525

1. What is the HCF of 4835,2011?

The HCF of 4835,2011 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 4835/359, 2011/9525?

Answer: GCF of Numerators as per given numbers 4835/359, 2011/9525 is

GCF of Numerators i.e. for 4835,2011 is 1

LCM of denominators i.e. for 359,9525 is 3419475.

Thus, GCF of Fractions is 1/3419475.Finally, GCF of Fractions for 4835/359, 2011/9525 is 1/3419475.