How to Find GCF of 9820/931, 4706/8864?

GCF of 9820/931, 4706/8864

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 9820/931, 4706/8864 i.e 2/8252384 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9820/931, 4706/8864.

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 9820/931,4706/8864?

Given fractions are 9820/931,4706/8864

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 9820/931,4706/8864, numerators are 9820,4706

Denominators are 931,8864

The GCF of 9820,4706 is 2 .

LCM of 931,8864 is 8252384.

The greatest common factor of 9820/931,4706/8864 = [GCF of 9820,4706]/[LCM of 931,8864]= 2/8252384

Therefore, the GCF of 9820/931,4706/8864 is 2/8252384.

Greatest Common Factor of 9820,4706

To find the highest common factor of 9820,4706, we have to find the factors of both numbers and list the highest common factor.

The factors of 9820 are 1, 2, 4, 5, 10, 20, 491, 982, 1964, 2455, 4910, 9820

The factors of 4706 are 1, 2, 13, 26, 181, 362, 2353, 4706

The HCF of 9820,4706 is 2.

Lets's calculate GCF of 9820,4706

Greatest Common Factor (GCF) of 9820,4706 By Common Division

2	9820, 4706
	4910, 2353

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

Greatest Common Factor of 9820,4706 By Matching Biggest Common Factor Method

Now, list down the factors of 9820

1,2,4,5,10,20,491,982,1964,2455,4910,9820

Now, list down the factors of 4706

1,2,13,26,181,362,2353,4706

Greatest Common Factor

We found the factors 9820,4706 . The biggest common factor number is the GCF number.
So the greatest common factor 9820,4706 is 2.

Lets's calculate LCM of 931,8864

Lowest Common Multiple of 931,8864 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8252384

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8252384

Therefore, the GCF of Fractions 9820/931,4706/8864 is 2/8252384

Least Common Multiple of 931,8864 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 931,8864 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,8864) = 1

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

GCF(931,8864) x common factors =1 x 1 = 1

LCM(931,8864) = ( 931 × 8864 ) / 1

LCM(931,8864) = 8252384 / 1

LCM(931,8864) = 8252384

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9820/931, 4706/8864

1. What is the HCF of 9820,4706?

The HCF of 9820,4706 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 9820/931, 4706/8864?

Answer: GCF of Numerators as per given numbers 9820/931, 4706/8864 is

GCF of Numerators i.e. for 9820,4706 is 2

LCM of denominators i.e. for 931,8864 is 8252384.

Thus, GCF of Fractions is 2/8252384.Finally, GCF of Fractions for 9820/931, 4706/8864 is 2/8252384.