How to Find GCF of 903/976, 3058/1932?

GCF of 903/976, 3058/1932

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 903/976, 3058/1932 i.e 1/471408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 903/976, 3058/1932.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 903/976,3058/1932?

Given fractions are 903/976,3058/1932

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 903/976,3058/1932, numerators are 903,3058

Denominators are 976,1932

The GCF of 903,3058 is 1 .

LCM of 976,1932 is 471408.

The greatest common factor of 903/976,3058/1932 = [GCF of 903,3058]/[LCM of 976,1932]= 1/471408

Therefore, the GCF of 903/976,3058/1932 is 1/471408.

Greatest Common Factor of 903,3058

To find the highest common factor of 903,3058, 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 3058 are 1, 2, 11, 22, 139, 278, 1529, 3058

The HCF of 903,3058 is 1.

Lets's calculate GCF of 903,3058

Greatest Common Factor (GCF) of 903,3058 By Common Division

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

Greatest Common Factor of 903,3058 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 3058

1,2,11,22,139,278,1529,3058

Greatest Common Factor

We found the factors 903,3058 . The biggest common factor number is the GCF number.
So the greatest common factor 903,3058 is 1.

Lets's calculate LCM of 976,1932

Lowest Common Multiple of 976,1932 using Common Division

2	976, 1932
2	488, 966
	244, 483

∴ So the LCM of the given numbers is 2 x 2 x 244 x 483 = 471408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/471408

Therefore, the GCF of Fractions 903/976,3058/1932 is 1/471408

Least Common Multiple of 976,1932 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 976,1932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,1932) = 4

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

GCF(976,1932) x common factors =4 x 1 = 4

LCM(976,1932) = ( 976 × 1932 ) / 4

LCM(976,1932) = 1885632 / 4

LCM(976,1932) = 471408

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FAQs on GCF of Fractions of 903/976, 3058/1932

1. What is the HCF of 903,3058?

The HCF of 903,3058 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 903/976, 3058/1932?

Answer: GCF of Numerators as per given numbers 903/976, 3058/1932 is

GCF of Numerators i.e. for 903,3058 is 1

LCM of denominators i.e. for 976,1932 is 471408.

Thus, GCF of Fractions is 1/471408.Finally, GCF of Fractions for 903/976, 3058/1932 is 1/471408.