How to Find GCF of 8368/650, 3046/9831?

GCF of 8368/650, 3046/9831

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 8368/650, 3046/9831 i.e 2/6390150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8368/650, 3046/9831.

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 8368/650,3046/9831?

Given fractions are 8368/650,3046/9831

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 8368/650,3046/9831, numerators are 8368,3046

Denominators are 650,9831

The GCF of 8368,3046 is 2 .

LCM of 650,9831 is 6390150.

The greatest common factor of 8368/650,3046/9831 = [GCF of 8368,3046]/[LCM of 650,9831]= 2/6390150

Therefore, the GCF of 8368/650,3046/9831 is 2/6390150.

Greatest Common Factor of 8368,3046

To find the highest common factor of 8368,3046, we have to find the factors of both numbers and list the highest common factor.

The factors of 8368 are 1, 2, 4, 8, 16, 523, 1046, 2092, 4184, 8368

The factors of 3046 are 1, 2, 1523, 3046

The HCF of 8368,3046 is 2.

Lets's calculate GCF of 8368,3046

Greatest Common Factor (GCF) of 8368,3046 By Common Division

2	8368, 3046
	4184, 1523

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

Greatest Common Factor of 8368,3046 By Matching Biggest Common Factor Method

Now, list down the factors of 8368

1,2,4,8,16,523,1046,2092,4184,8368

Now, list down the factors of 3046

1,2,1523,3046

Greatest Common Factor

We found the factors 8368,3046 . The biggest common factor number is the GCF number.
So the greatest common factor 8368,3046 is 2.

Lets's calculate LCM of 650,9831

Lowest Common Multiple of 650,9831 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6390150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6390150

Therefore, the GCF of Fractions 8368/650,3046/9831 is 2/6390150

Least Common Multiple of 650,9831 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 650,9831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,9831) = 1

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

GCF(650,9831) x common factors =1 x 1 = 1

LCM(650,9831) = ( 650 × 9831 ) / 1

LCM(650,9831) = 6390150 / 1

LCM(650,9831) = 6390150

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8368/650, 3046/9831

1. What is the HCF of 8368,3046?

The HCF of 8368,3046 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 8368/650, 3046/9831?

Answer: GCF of Numerators as per given numbers 8368/650, 3046/9831 is

GCF of Numerators i.e. for 8368,3046 is 2

LCM of denominators i.e. for 650,9831 is 6390150.

Thus, GCF of Fractions is 2/6390150.Finally, GCF of Fractions for 8368/650, 3046/9831 is 2/6390150.