How to Find GCF of 8078/289, 6388/1568?

GCF of 8078/289, 6388/1568

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 8078/289, 6388/1568 i.e 2/453152 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8078/289, 6388/1568.

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 8078/289,6388/1568?

Given fractions are 8078/289,6388/1568

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 8078/289,6388/1568, numerators are 8078,6388

Denominators are 289,1568

The GCF of 8078,6388 is 2 .

LCM of 289,1568 is 453152.

The greatest common factor of 8078/289,6388/1568 = [GCF of 8078,6388]/[LCM of 289,1568]= 2/453152

Therefore, the GCF of 8078/289,6388/1568 is 2/453152.

Greatest Common Factor of 8078,6388

To find the highest common factor of 8078,6388, we have to find the factors of both numbers and list the highest common factor.

The factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078

The factors of 6388 are 1, 2, 4, 1597, 3194, 6388

The HCF of 8078,6388 is 2.

Lets's calculate GCF of 8078,6388

Greatest Common Factor (GCF) of 8078,6388 By Common Division

2	8078, 6388
	4039, 3194

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

Greatest Common Factor of 8078,6388 By Matching Biggest Common Factor Method

Now, list down the factors of 8078

1,2,7,14,577,1154,4039,8078

Now, list down the factors of 6388

1,2,4,1597,3194,6388

Greatest Common Factor

We found the factors 8078,6388 . The biggest common factor number is the GCF number.
So the greatest common factor 8078,6388 is 2.

Lets's calculate LCM of 289,1568

Lowest Common Multiple of 289,1568 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 453152

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/453152

Therefore, the GCF of Fractions 8078/289,6388/1568 is 2/453152

Least Common Multiple of 289,1568 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 289,1568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,1568) = 1

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

GCF(289,1568) x common factors =1 x 1 = 1

LCM(289,1568) = ( 289 × 1568 ) / 1

LCM(289,1568) = 453152 / 1

LCM(289,1568) = 453152

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8078/289, 6388/1568

1. What is the HCF of 8078,6388?

The HCF of 8078,6388 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 8078/289, 6388/1568?

Answer: GCF of Numerators as per given numbers 8078/289, 6388/1568 is

GCF of Numerators i.e. for 8078,6388 is 2

LCM of denominators i.e. for 289,1568 is 453152.

Thus, GCF of Fractions is 2/453152.Finally, GCF of Fractions for 8078/289, 6388/1568 is 2/453152.