How to Find GCF of 9863/784, 6196/3848?

GCF of 9863/784, 6196/3848

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 9863/784, 6196/3848 i.e 1/377104 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9863/784, 6196/3848.

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 9863/784,6196/3848?

Given fractions are 9863/784,6196/3848

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 9863/784,6196/3848, numerators are 9863,6196

Denominators are 784,3848

The GCF of 9863,6196 is 1 .

LCM of 784,3848 is 377104.

The greatest common factor of 9863/784,6196/3848 = [GCF of 9863,6196]/[LCM of 784,3848]= 1/377104

Therefore, the GCF of 9863/784,6196/3848 is 1/377104.

Greatest Common Factor of 9863,6196

To find the highest common factor of 9863,6196, we have to find the factors of both numbers and list the highest common factor.

The factors of 9863 are 1, 7, 1409, 9863

The factors of 6196 are 1, 2, 4, 1549, 3098, 6196

The HCF of 9863,6196 is 1.

Lets's calculate GCF of 9863,6196

Greatest Common Factor (GCF) of 9863,6196 By Common Division

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

Greatest Common Factor of 9863,6196 By Matching Biggest Common Factor Method

Now, list down the factors of 9863

1,7,1409,9863

Now, list down the factors of 6196

1,2,4,1549,3098,6196

Greatest Common Factor

We found the factors 9863,6196 . The biggest common factor number is the GCF number.
So the greatest common factor 9863,6196 is 1.

Lets's calculate LCM of 784,3848

Lowest Common Multiple of 784,3848 using Common Division

2	784, 3848
2	392, 1924
2	196, 962
	98, 481

∴ So the LCM of the given numbers is 2 x 2 x 2 x 98 x 481 = 377104

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/377104

Therefore, the GCF of Fractions 9863/784,6196/3848 is 1/377104

Least Common Multiple of 784,3848 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 784,3848 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(784,3848) = 8

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

GCF(784,3848) x common factors =8 x 1 = 8

LCM(784,3848) = ( 784 × 3848 ) / 8

LCM(784,3848) = 3016832 / 8

LCM(784,3848) = 377104

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FAQs on GCF of Fractions of 9863/784, 6196/3848

1. What is the HCF of 9863,6196?

The HCF of 9863,6196 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 9863/784, 6196/3848?

Answer: GCF of Numerators as per given numbers 9863/784, 6196/3848 is

GCF of Numerators i.e. for 9863,6196 is 1

LCM of denominators i.e. for 784,3848 is 377104.

Thus, GCF of Fractions is 1/377104.Finally, GCF of Fractions for 9863/784, 6196/3848 is 1/377104.