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GCF of 6029/610, 2991/6088

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 6029/610, 2991/6088 i.e 1/1856840 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6029/610, 2991/6088.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 6029/610,2991/6088?

Given fractions are 6029/610,2991/6088

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 6029/610,2991/6088, numerators are 6029,2991

Denominators are 610,6088

The GCF of 6029,2991 is 1 .

LCM of 610,6088 is 1856840.

The greatest common factor of 6029/610,2991/6088 = [GCF of 6029,2991]/[LCM of 610,6088]= 1/1856840

Therefore, the GCF of 6029/610,2991/6088 is 1/1856840.

Greatest Common Factor of 6029,2991

To find the highest common factor of 6029,2991, we have to find the factors of both numbers and list the highest common factor.

The factors of 6029 are 1, 6029

The factors of 2991 are 1, 3, 997, 2991

The HCF of 6029,2991 is 1.

Lets's calculate GCF of 6029,2991

Greatest Common Factor (GCF) of 6029,2991 By Common Division

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

Greatest Common Factor of 6029,2991 By Matching Biggest Common Factor Method

Greatest Common Factor of 6029,2991 By Matching Biggest Common Factor Method

Now, list down the factors of 6029

:

1,6029

Now, list down the factors of 2991

:

1,3,997,2991

Greatest Common Factor

We found the factors 6029,2991 . The biggest common factor number is the GCF number.
So the greatest common factor 6029,2991 is 1.

Lets's calculate LCM of 610,6088

Lowest Common Multiple of 610,6088 using Common Division

2 610, 6088
305, 3044

∴ So the LCM of the given numbers is 2 x 305 x 3044 = 1856840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1856840

Therefore, the GCF of Fractions 6029/610,2991/6088 is 1/1856840

Least Common Multiple of 610,6088 with GCF Formula

Least Common Multiple of 610,6088 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 610,6088 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(610,6088) = 2

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

GCF(610,6088) x common factors =2 x 1 = 2

LCM(610,6088) = ( 610 × 6088 ) / 2

LCM(610,6088) = 3713680 / 2

LCM(610,6088) = 1856840


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FAQs on GCF of Fractions of 6029/610, 2991/6088

1. What is the HCF of 6029,2991?

The HCF of 6029,2991 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 6029/610, 2991/6088?

Answer: GCF of Numerators as per given numbers 6029/610, 2991/6088 is

GCF of Numerators i.e. for 6029,2991 is 1

LCM of denominators i.e. for 610,6088 is 1856840.

Thus, GCF of Fractions is 1/1856840.Finally, GCF of Fractions for 6029/610, 2991/6088 is 1/1856840.