How to Find GCF of 9762/342, 7832/2437?

GCF of 9762/342, 7832/2437

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 9762/342, 7832/2437 i.e 2/833454 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9762/342, 7832/2437.

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 9762/342,7832/2437?

Given fractions are 9762/342,7832/2437

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 9762/342,7832/2437, numerators are 9762,7832

Denominators are 342,2437

The GCF of 9762,7832 is 2 .

LCM of 342,2437 is 833454.

The greatest common factor of 9762/342,7832/2437 = [GCF of 9762,7832]/[LCM of 342,2437]= 2/833454

Therefore, the GCF of 9762/342,7832/2437 is 2/833454.

Greatest Common Factor of 9762,7832

To find the highest common factor of 9762,7832, we have to find the factors of both numbers and list the highest common factor.

The factors of 9762 are 1, 2, 3, 6, 1627, 3254, 4881, 9762

The factors of 7832 are 1, 2, 4, 8, 11, 22, 44, 88, 89, 178, 356, 712, 979, 1958, 3916, 7832

The HCF of 9762,7832 is 2.

Lets's calculate GCF of 9762,7832

Greatest Common Factor (GCF) of 9762,7832 By Common Division

2	9762, 7832
	4881, 3916

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9762,7832 By Matching Biggest Common Factor Method

Now, list down the factors of 9762

1,2,3,6,1627,3254,4881,9762

Now, list down the factors of 7832

1,2,4,8,11,22,44,88,89,178,356,712,979,1958,3916,7832

Greatest Common Factor

We found the factors 9762,7832 . The biggest common factor number is the GCF number.
So the greatest common factor 9762,7832 is 2.

Lets's calculate LCM of 342,2437

Lowest Common Multiple of 342,2437 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 833454

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/833454

Therefore, the GCF of Fractions 9762/342,7832/2437 is 2/833454

Least Common Multiple of 342,2437 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 342,2437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(342,2437) = 1

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

GCF(342,2437) x common factors =1 x 1 = 1

LCM(342,2437) = ( 342 × 2437 ) / 1

LCM(342,2437) = 833454 / 1

LCM(342,2437) = 833454

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FAQs on GCF of Fractions of 9762/342, 7832/2437

1. What is the HCF of 9762,7832?

The HCF of 9762,7832 is 2

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 9762/342, 7832/2437?

Answer: GCF of Numerators as per given numbers 9762/342, 7832/2437 is

GCF of Numerators i.e. for 9762,7832 is 2

LCM of denominators i.e. for 342,2437 is 833454.

Thus, GCF of Fractions is 2/833454.Finally, GCF of Fractions for 9762/342, 7832/2437 is 2/833454.