How to Find GCF of 6199/622, 9568/9248?

GCF of 6199/622, 9568/9248

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 6199/622, 9568/9248 i.e 1/2876128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6199/622, 9568/9248.

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 6199/622,9568/9248?

Given fractions are 6199/622,9568/9248

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 6199/622,9568/9248, numerators are 6199,9568

Denominators are 622,9248

The GCF of 6199,9568 is 1 .

LCM of 622,9248 is 2876128.

The greatest common factor of 6199/622,9568/9248 = [GCF of 6199,9568]/[LCM of 622,9248]= 1/2876128

Therefore, the GCF of 6199/622,9568/9248 is 1/2876128.

Greatest Common Factor of 6199,9568

To find the highest common factor of 6199,9568, we have to find the factors of both numbers and list the highest common factor.

The factors of 6199 are 1, 6199

The factors of 9568 are 1, 2, 4, 8, 13, 16, 23, 26, 32, 46, 52, 92, 104, 184, 208, 299, 368, 416, 598, 736, 1196, 2392, 4784, 9568

The HCF of 6199,9568 is 1.

Lets's calculate GCF of 6199,9568

Greatest Common Factor (GCF) of 6199,9568 By Common Division

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

Greatest Common Factor of 6199,9568 By Matching Biggest Common Factor Method

Now, list down the factors of 6199

1,6199

Now, list down the factors of 9568

1,2,4,8,13,16,23,26,32,46,52,92,104,184,208,299,368,416,598,736,1196,2392,4784,9568

Greatest Common Factor

We found the factors 6199,9568 . The biggest common factor number is the GCF number.
So the greatest common factor 6199,9568 is 1.

Lets's calculate LCM of 622,9248

Lowest Common Multiple of 622,9248 using Common Division

2	622, 9248
	311, 4624

∴ So the LCM of the given numbers is 2 x 311 x 4624 = 2876128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2876128

Therefore, the GCF of Fractions 6199/622,9568/9248 is 1/2876128

Least Common Multiple of 622,9248 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 622,9248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(622,9248) = 2

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

GCF(622,9248) x common factors =2 x 1 = 2

LCM(622,9248) = ( 622 × 9248 ) / 2

LCM(622,9248) = 5752256 / 2

LCM(622,9248) = 2876128

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 6199/622, 9568/9248

1. What is the HCF of 6199,9568?

The HCF of 6199,9568 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 6199/622, 9568/9248?

Answer: GCF of Numerators as per given numbers 6199/622, 9568/9248 is

GCF of Numerators i.e. for 6199,9568 is 1

LCM of denominators i.e. for 622,9248 is 2876128.

Thus, GCF of Fractions is 1/2876128.Finally, GCF of Fractions for 6199/622, 9568/9248 is 1/2876128.