How to Find GCF of 6078/981, 4630/8090?

GCF of 6078/981, 4630/8090

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 6078/981, 4630/8090 i.e 2/7936290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6078/981, 4630/8090.

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 6078/981,4630/8090?

Given fractions are 6078/981,4630/8090

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 6078/981,4630/8090, numerators are 6078,4630

Denominators are 981,8090

The GCF of 6078,4630 is 2 .

LCM of 981,8090 is 7936290.

The greatest common factor of 6078/981,4630/8090 = [GCF of 6078,4630]/[LCM of 981,8090]= 2/7936290

Therefore, the GCF of 6078/981,4630/8090 is 2/7936290.

Greatest Common Factor of 6078,4630

To find the highest common factor of 6078,4630, we have to find the factors of both numbers and list the highest common factor.

The factors of 6078 are 1, 2, 3, 6, 1013, 2026, 3039, 6078

The factors of 4630 are 1, 2, 5, 10, 463, 926, 2315, 4630

The HCF of 6078,4630 is 2.

Lets's calculate GCF of 6078,4630

Greatest Common Factor (GCF) of 6078,4630 By Common Division

2	6078, 4630
	3039, 2315

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

Greatest Common Factor of 6078,4630 By Matching Biggest Common Factor Method

Now, list down the factors of 6078

1,2,3,6,1013,2026,3039,6078

Now, list down the factors of 4630

1,2,5,10,463,926,2315,4630

Greatest Common Factor

We found the factors 6078,4630 . The biggest common factor number is the GCF number.
So the greatest common factor 6078,4630 is 2.

Lets's calculate LCM of 981,8090

Lowest Common Multiple of 981,8090 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7936290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/7936290

Therefore, the GCF of Fractions 6078/981,4630/8090 is 2/7936290

Least Common Multiple of 981,8090 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 981,8090 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,8090) = 1

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

GCF(981,8090) x common factors =1 x 1 = 1

LCM(981,8090) = ( 981 × 8090 ) / 1

LCM(981,8090) = 7936290 / 1

LCM(981,8090) = 7936290

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FAQs on GCF of Fractions of 6078/981, 4630/8090

1. What is the HCF of 6078,4630?

The HCF of 6078,4630 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 6078/981, 4630/8090?

Answer: GCF of Numerators as per given numbers 6078/981, 4630/8090 is

GCF of Numerators i.e. for 6078,4630 is 2

LCM of denominators i.e. for 981,8090 is 7936290.

Thus, GCF of Fractions is 2/7936290.Finally, GCF of Fractions for 6078/981, 4630/8090 is 2/7936290.