How to Find GCF of 6217/890, 6002/3030?

GCF of 6217/890, 6002/3030

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 6217/890, 6002/3030 i.e 1/269670 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6217/890, 6002/3030.

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 6217/890,6002/3030?

Given fractions are 6217/890,6002/3030

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 6217/890,6002/3030, numerators are 6217,6002

Denominators are 890,3030

The GCF of 6217,6002 is 1 .

LCM of 890,3030 is 269670.

The greatest common factor of 6217/890,6002/3030 = [GCF of 6217,6002]/[LCM of 890,3030]= 1/269670

Therefore, the GCF of 6217/890,6002/3030 is 1/269670.

Greatest Common Factor of 6217,6002

To find the highest common factor of 6217,6002, we have to find the factors of both numbers and list the highest common factor.

The factors of 6217 are 1, 6217

The factors of 6002 are 1, 2, 3001, 6002

The HCF of 6217,6002 is 1.

Lets's calculate GCF of 6217,6002

Greatest Common Factor (GCF) of 6217,6002 By Common Division

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

Greatest Common Factor of 6217,6002 By Matching Biggest Common Factor Method

Now, list down the factors of 6217

1,6217

Now, list down the factors of 6002

1,2,3001,6002

Greatest Common Factor

We found the factors 6217,6002 . The biggest common factor number is the GCF number.
So the greatest common factor 6217,6002 is 1.

Lets's calculate LCM of 890,3030

Lowest Common Multiple of 890,3030 using Common Division

2	890, 3030
5	445, 1515
	89, 303

∴ So the LCM of the given numbers is 2 x 5 x 89 x 303 = 269670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/269670

Therefore, the GCF of Fractions 6217/890,6002/3030 is 1/269670

Least Common Multiple of 890,3030 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 890,3030 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,3030) = 10

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

GCF(890,3030) x common factors =10 x 1 = 10

LCM(890,3030) = ( 890 × 3030 ) / 10

LCM(890,3030) = 2696700 / 10

LCM(890,3030) = 269670

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FAQs on GCF of Fractions of 6217/890, 6002/3030

1. What is the HCF of 6217,6002?

The HCF of 6217,6002 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 6217/890, 6002/3030?

Answer: GCF of Numerators as per given numbers 6217/890, 6002/3030 is

GCF of Numerators i.e. for 6217,6002 is 1

LCM of denominators i.e. for 890,3030 is 269670.

Thus, GCF of Fractions is 1/269670.Finally, GCF of Fractions for 6217/890, 6002/3030 is 1/269670.