How to Find GCF of 6110/530, 5898/1817?

GCF of 6110/530, 5898/1817

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 6110/530, 5898/1817 i.e 2/963010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6110/530, 5898/1817.

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 6110/530,5898/1817?

Given fractions are 6110/530,5898/1817

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 6110/530,5898/1817, numerators are 6110,5898

Denominators are 530,1817

The GCF of 6110,5898 is 2 .

LCM of 530,1817 is 963010.

The greatest common factor of 6110/530,5898/1817 = [GCF of 6110,5898]/[LCM of 530,1817]= 2/963010

Therefore, the GCF of 6110/530,5898/1817 is 2/963010.

Greatest Common Factor of 6110,5898

To find the highest common factor of 6110,5898, we have to find the factors of both numbers and list the highest common factor.

The factors of 6110 are 1, 2, 5, 10, 13, 26, 47, 65, 94, 130, 235, 470, 611, 1222, 3055, 6110

The factors of 5898 are 1, 2, 3, 6, 983, 1966, 2949, 5898

The HCF of 6110,5898 is 2.

Lets's calculate GCF of 6110,5898

Greatest Common Factor (GCF) of 6110,5898 By Common Division

2	6110, 5898
	3055, 2949

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

Greatest Common Factor of 6110,5898 By Matching Biggest Common Factor Method

Now, list down the factors of 6110

1,2,5,10,13,26,47,65,94,130,235,470,611,1222,3055,6110

Now, list down the factors of 5898

1,2,3,6,983,1966,2949,5898

Greatest Common Factor

We found the factors 6110,5898 . The biggest common factor number is the GCF number.
So the greatest common factor 6110,5898 is 2.

Lets's calculate LCM of 530,1817

Lowest Common Multiple of 530,1817 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 963010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/963010

Therefore, the GCF of Fractions 6110/530,5898/1817 is 2/963010

Least Common Multiple of 530,1817 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 530,1817 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(530,1817) = 1

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

GCF(530,1817) x common factors =1 x 1 = 1

LCM(530,1817) = ( 530 × 1817 ) / 1

LCM(530,1817) = 963010 / 1

LCM(530,1817) = 963010

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6110/530, 5898/1817

1. What is the HCF of 6110,5898?

The HCF of 6110,5898 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 6110/530, 5898/1817?

Answer: GCF of Numerators as per given numbers 6110/530, 5898/1817 is

GCF of Numerators i.e. for 6110,5898 is 2

LCM of denominators i.e. for 530,1817 is 963010.

Thus, GCF of Fractions is 2/963010.Finally, GCF of Fractions for 6110/530, 5898/1817 is 2/963010.