How to Find GCF of 5054/230, 7867/6290?

GCF of 5054/230, 7867/6290

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 5054/230, 7867/6290 i.e 1/144670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5054/230, 7867/6290.

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 5054/230,7867/6290?

Given fractions are 5054/230,7867/6290

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 5054/230,7867/6290, numerators are 5054,7867

Denominators are 230,6290

The GCF of 5054,7867 is 1 .

LCM of 230,6290 is 144670.

The greatest common factor of 5054/230,7867/6290 = [GCF of 5054,7867]/[LCM of 230,6290]= 1/144670

Therefore, the GCF of 5054/230,7867/6290 is 1/144670.

Greatest Common Factor of 5054,7867

To find the highest common factor of 5054,7867, we have to find the factors of both numbers and list the highest common factor.

The factors of 5054 are 1, 2, 7, 14, 19, 38, 133, 266, 361, 722, 2527, 5054

The factors of 7867 are 1, 7867

The HCF of 5054,7867 is 1.

Lets's calculate GCF of 5054,7867

Greatest Common Factor (GCF) of 5054,7867 By Common Division

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

Greatest Common Factor of 5054,7867 By Matching Biggest Common Factor Method

Now, list down the factors of 5054

1,2,7,14,19,38,133,266,361,722,2527,5054

Now, list down the factors of 7867

1,7867

Greatest Common Factor

We found the factors 5054,7867 . The biggest common factor number is the GCF number.
So the greatest common factor 5054,7867 is 1.

Lets's calculate LCM of 230,6290

Lowest Common Multiple of 230,6290 using Common Division

2	230, 6290
5	115, 3145
	23, 629

∴ So the LCM of the given numbers is 2 x 5 x 23 x 629 = 144670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/144670

Therefore, the GCF of Fractions 5054/230,7867/6290 is 1/144670

Least Common Multiple of 230,6290 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 230,6290 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,6290) = 10

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

GCF(230,6290) x common factors =10 x 1 = 10

LCM(230,6290) = ( 230 × 6290 ) / 10

LCM(230,6290) = 1446700 / 10

LCM(230,6290) = 144670

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 5054/230, 7867/6290

1. What is the HCF of 5054,7867?

The HCF of 5054,7867 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 5054/230, 7867/6290?

Answer: GCF of Numerators as per given numbers 5054/230, 7867/6290 is

GCF of Numerators i.e. for 5054,7867 is 1

LCM of denominators i.e. for 230,6290 is 144670.

Thus, GCF of Fractions is 1/144670.Finally, GCF of Fractions for 5054/230, 7867/6290 is 1/144670.