How to Find GCF of 9483/962, 3908/1129?

GCF of 9483/962, 3908/1129

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 9483/962, 3908/1129 i.e 1/1086098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9483/962, 3908/1129.

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 9483/962,3908/1129?

Given fractions are 9483/962,3908/1129

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 9483/962,3908/1129, numerators are 9483,3908

Denominators are 962,1129

The GCF of 9483,3908 is 1 .

LCM of 962,1129 is 1086098.

The greatest common factor of 9483/962,3908/1129 = [GCF of 9483,3908]/[LCM of 962,1129]= 1/1086098

Therefore, the GCF of 9483/962,3908/1129 is 1/1086098.

Greatest Common Factor of 9483,3908

To find the highest common factor of 9483,3908, we have to find the factors of both numbers and list the highest common factor.

The factors of 9483 are 1, 3, 29, 87, 109, 327, 3161, 9483

The factors of 3908 are 1, 2, 4, 977, 1954, 3908

The HCF of 9483,3908 is 1.

Lets's calculate GCF of 9483,3908

Greatest Common Factor (GCF) of 9483,3908 By Common Division

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

Greatest Common Factor of 9483,3908 By Matching Biggest Common Factor Method

Now, list down the factors of 9483

1,3,29,87,109,327,3161,9483

Now, list down the factors of 3908

1,2,4,977,1954,3908

Greatest Common Factor

We found the factors 9483,3908 . The biggest common factor number is the GCF number.
So the greatest common factor 9483,3908 is 1.

Lets's calculate LCM of 962,1129

Lowest Common Multiple of 962,1129 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1086098

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1086098

Therefore, the GCF of Fractions 9483/962,3908/1129 is 1/1086098

Least Common Multiple of 962,1129 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 962,1129 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(962,1129) = 1

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

GCF(962,1129) x common factors =1 x 1 = 1

LCM(962,1129) = ( 962 × 1129 ) / 1

LCM(962,1129) = 1086098 / 1

LCM(962,1129) = 1086098

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 9483/962, 3908/1129

1. What is the HCF of 9483,3908?

The HCF of 9483,3908 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 9483/962, 3908/1129?

Answer: GCF of Numerators as per given numbers 9483/962, 3908/1129 is

GCF of Numerators i.e. for 9483,3908 is 1

LCM of denominators i.e. for 962,1129 is 1086098.

Thus, GCF of Fractions is 1/1086098.Finally, GCF of Fractions for 9483/962, 3908/1129 is 1/1086098.