How to Find GCF of 9781/467, 3234/3958?

GCF of 9781/467, 3234/3958

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 9781/467, 3234/3958 i.e 1/1848386 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9781/467, 3234/3958.

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 9781/467,3234/3958?

Given fractions are 9781/467,3234/3958

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 9781/467,3234/3958, numerators are 9781,3234

Denominators are 467,3958

The GCF of 9781,3234 is 1 .

LCM of 467,3958 is 1848386.

The greatest common factor of 9781/467,3234/3958 = [GCF of 9781,3234]/[LCM of 467,3958]= 1/1848386

Therefore, the GCF of 9781/467,3234/3958 is 1/1848386.

Greatest Common Factor of 9781,3234

To find the highest common factor of 9781,3234, we have to find the factors of both numbers and list the highest common factor.

The factors of 9781 are 1, 9781

The factors of 3234 are 1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 49, 66, 77, 98, 147, 154, 231, 294, 462, 539, 1078, 1617, 3234

The HCF of 9781,3234 is 1.

Lets's calculate GCF of 9781,3234

Greatest Common Factor (GCF) of 9781,3234 By Common Division

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

Greatest Common Factor of 9781,3234 By Matching Biggest Common Factor Method

Now, list down the factors of 9781

1,9781

Now, list down the factors of 3234

1,2,3,6,7,11,14,21,22,33,42,49,66,77,98,147,154,231,294,462,539,1078,1617,3234

Greatest Common Factor

We found the factors 9781,3234 . The biggest common factor number is the GCF number.
So the greatest common factor 9781,3234 is 1.

Lets's calculate LCM of 467,3958

Lowest Common Multiple of 467,3958 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1848386

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1848386

Therefore, the GCF of Fractions 9781/467,3234/3958 is 1/1848386

Least Common Multiple of 467,3958 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 467,3958 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(467,3958) = 1

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

GCF(467,3958) x common factors =1 x 1 = 1

LCM(467,3958) = ( 467 × 3958 ) / 1

LCM(467,3958) = 1848386 / 1

LCM(467,3958) = 1848386

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FAQs on GCF of Fractions of 9781/467, 3234/3958

1. What is the HCF of 9781,3234?

The HCF of 9781,3234 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 9781/467, 3234/3958?

Answer: GCF of Numerators as per given numbers 9781/467, 3234/3958 is

GCF of Numerators i.e. for 9781,3234 is 1

LCM of denominators i.e. for 467,3958 is 1848386.

Thus, GCF of Fractions is 1/1848386.Finally, GCF of Fractions for 9781/467, 3234/3958 is 1/1848386.