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GCF of 903/82, 633/307

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 903/82, 633/307 i.e 3/25174 easily. The following is the detailed procedure to determine the greatest common factor of fractions 903/82, 633/307.

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 903/82,633/307?

Given fractions are 903/82,633/307

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 903/82,633/307, numerators are 903,633

Denominators are 82,307

The GCF of 903,633 is 3 .

LCM of 82,307 is 25174.

The greatest common factor of 903/82,633/307 = [GCF of 903,633]/[LCM of 82,307]= 3/25174

Therefore, the GCF of 903/82,633/307 is 3/25174.

Greatest Common Factor of 903,633

To find the highest common factor of 903,633, we have to find the factors of both numbers and list the highest common factor.

The factors of 903 are 1, 3, 7, 21, 43, 129, 301, 903

The factors of 633 are 1, 3, 211, 633

The HCF of 903,633 is 3.

Lets's calculate GCF of 903,633

Greatest Common Factor (GCF) of 903,633 By Common Division

3 903, 633
301, 211

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 903,633 By Matching Biggest Common Factor Method

Greatest Common Factor of 903,633 By Matching Biggest Common Factor Method

Now, list down the factors of 903

:

1,3,7,21,43,129,301,903

Now, list down the factors of 633

:

1,3,211,633

Greatest Common Factor

We found the factors 903,633 . The biggest common factor number is the GCF number.
So the greatest common factor 903,633 is 3.

Lets's calculate LCM of 82,307

Lowest Common Multiple of 82,307 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 25174

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25174

Therefore, the GCF of Fractions 903/82,633/307 is 3/25174

Least Common Multiple of 82,307 with GCF Formula

Least Common Multiple of 82,307 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 82,307 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,307) = 1

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

GCF(82,307) x common factors =1 x 1 = 1

LCM(82,307) = ( 82 × 307 ) / 1

LCM(82,307) = 25174 / 1

LCM(82,307) = 25174


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FAQs on GCF of Fractions of 903/82, 633/307

1. What is the HCF of 903,633?

The HCF of 903,633 is 3

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 903/82, 633/307?

Answer: GCF of Numerators as per given numbers 903/82, 633/307 is

GCF of Numerators i.e. for 903,633 is 3

LCM of denominators i.e. for 82,307 is 25174.

Thus, GCF of Fractions is 3/25174.Finally, GCF of Fractions for 903/82, 633/307 is 3/25174.