How to Find GCF of 976/44, 483/5830?

GCF of 976/44, 483/5830

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 976/44, 483/5830 i.e 1/11660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 976/44, 483/5830.

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 976/44,483/5830?

Given fractions are 976/44,483/5830

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 976/44,483/5830, numerators are 976,483

Denominators are 44,5830

The GCF of 976,483 is 1 .

LCM of 44,5830 is 11660.

The greatest common factor of 976/44,483/5830 = [GCF of 976,483]/[LCM of 44,5830]= 1/11660

Therefore, the GCF of 976/44,483/5830 is 1/11660.

Greatest Common Factor of 976,483

To find the highest common factor of 976,483, we have to find the factors of both numbers and list the highest common factor.

The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483

The HCF of 976,483 is 1.

Lets's calculate GCF of 976,483

Greatest Common Factor (GCF) of 976,483 By Common Division

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

Greatest Common Factor of 976,483 By Matching Biggest Common Factor Method

Now, list down the factors of 976

1,2,4,8,16,61,122,244,488,976

Now, list down the factors of 483

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 976,483 . The biggest common factor number is the GCF number.
So the greatest common factor 976,483 is 1.

Lets's calculate LCM of 44,5830

Lowest Common Multiple of 44,5830 using Common Division

2	44, 5830
11	22, 2915
	2, 265

∴ So the LCM of the given numbers is 2 x 11 x 2 x 265 = 11660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11660

Therefore, the GCF of Fractions 976/44,483/5830 is 1/11660

Least Common Multiple of 44,5830 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 44,5830 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,5830) = 22

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

GCF(44,5830) x common factors =22 x 1 = 22

LCM(44,5830) = ( 44 × 5830 ) / 22

LCM(44,5830) = 256520 / 22

LCM(44,5830) = 11660

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FAQs on GCF of Fractions of 976/44, 483/5830

1. What is the HCF of 976,483?

The HCF of 976,483 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 976/44, 483/5830?

Answer: GCF of Numerators as per given numbers 976/44, 483/5830 is

GCF of Numerators i.e. for 976,483 is 1

LCM of denominators i.e. for 44,5830 is 11660.

Thus, GCF of Fractions is 1/11660.Finally, GCF of Fractions for 976/44, 483/5830 is 1/11660.