How to Find GCF of 52/842, 9424/1065?

GCF of 52/842, 9424/1065

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 52/842, 9424/1065 i.e 4/896730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 52/842, 9424/1065.

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 52/842,9424/1065?

Given fractions are 52/842,9424/1065

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 52/842,9424/1065, numerators are 52,9424

Denominators are 842,1065

The GCF of 52,9424 is 4 .

LCM of 842,1065 is 896730.

The greatest common factor of 52/842,9424/1065 = [GCF of 52,9424]/[LCM of 842,1065]= 4/896730

Therefore, the GCF of 52/842,9424/1065 is 4/896730.

Greatest Common Factor of 52,9424

To find the highest common factor of 52,9424, we have to find the factors of both numbers and list the highest common factor.

The factors of 52 are 1, 2, 4, 13, 26, 52

The factors of 9424 are 1, 2, 4, 8, 16, 19, 31, 38, 62, 76, 124, 152, 248, 304, 496, 589, 1178, 2356, 4712, 9424

The HCF of 52,9424 is 4.

Lets's calculate GCF of 52,9424

Greatest Common Factor (GCF) of 52,9424 By Common Division

2	52, 9424
2	26, 4712
	13, 2356

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 52,9424 By Matching Biggest Common Factor Method

Now, list down the factors of 52

1,2,4,13,26,52

Now, list down the factors of 9424

1,2,4,8,16,19,31,38,62,76,124,152,248,304,496,589,1178,2356,4712,9424

Greatest Common Factor

We found the factors 52,9424 . The biggest common factor number is the GCF number.
So the greatest common factor 52,9424 is 4.

Lets's calculate LCM of 842,1065

Lowest Common Multiple of 842,1065 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 896730

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/896730

Therefore, the GCF of Fractions 52/842,9424/1065 is 4/896730

Least Common Multiple of 842,1065 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 842,1065 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(842,1065) = 1

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

GCF(842,1065) x common factors =1 x 1 = 1

LCM(842,1065) = ( 842 × 1065 ) / 1

LCM(842,1065) = 896730 / 1

LCM(842,1065) = 896730

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 52/842, 9424/1065

1. What is the HCF of 52,9424?

The HCF of 52,9424 is 4

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 52/842, 9424/1065?

Answer: GCF of Numerators as per given numbers 52/842, 9424/1065 is

GCF of Numerators i.e. for 52,9424 is 4

LCM of denominators i.e. for 842,1065 is 896730.

Thus, GCF of Fractions is 4/896730.Finally, GCF of Fractions for 52/842, 9424/1065 is 4/896730.