How to Find GCF of 6890/218, 8110/6497?

GCF of 6890/218, 8110/6497

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 6890/218, 8110/6497 i.e 10/1416346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6890/218, 8110/6497.

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 6890/218,8110/6497?

Given fractions are 6890/218,8110/6497

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 6890/218,8110/6497, numerators are 6890,8110

Denominators are 218,6497

The GCF of 6890,8110 is 10 .

LCM of 218,6497 is 1416346.

The greatest common factor of 6890/218,8110/6497 = [GCF of 6890,8110]/[LCM of 218,6497]= 10/1416346

Therefore, the GCF of 6890/218,8110/6497 is 10/1416346.

Greatest Common Factor of 6890,8110

To find the highest common factor of 6890,8110, we have to find the factors of both numbers and list the highest common factor.

The factors of 6890 are 1, 2, 5, 10, 13, 26, 53, 65, 106, 130, 265, 530, 689, 1378, 3445, 6890

The factors of 8110 are 1, 2, 5, 10, 811, 1622, 4055, 8110

The HCF of 6890,8110 is 10.

Lets's calculate GCF of 6890,8110

Greatest Common Factor (GCF) of 6890,8110 By Common Division

2	6890, 8110
5	3445, 4055
	689, 811

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 6890,8110 By Matching Biggest Common Factor Method

Now, list down the factors of 6890

1,2,5,10,13,26,53,65,106,130,265,530,689,1378,3445,6890

Now, list down the factors of 8110

1,2,5,10,811,1622,4055,8110

Greatest Common Factor

We found the factors 6890,8110 . The biggest common factor number is the GCF number.
So the greatest common factor 6890,8110 is 10.

Lets's calculate LCM of 218,6497

Lowest Common Multiple of 218,6497 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1416346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1416346

Therefore, the GCF of Fractions 6890/218,8110/6497 is 10/1416346

Least Common Multiple of 218,6497 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 218,6497 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(218,6497) = 1

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

GCF(218,6497) x common factors =1 x 1 = 1

LCM(218,6497) = ( 218 × 6497 ) / 1

LCM(218,6497) = 1416346 / 1

LCM(218,6497) = 1416346

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 6890/218, 8110/6497

1. What is the HCF of 6890,8110?

The HCF of 6890,8110 is 10

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 6890/218, 8110/6497?

Answer: GCF of Numerators as per given numbers 6890/218, 8110/6497 is

GCF of Numerators i.e. for 6890,8110 is 10

LCM of denominators i.e. for 218,6497 is 1416346.

Thus, GCF of Fractions is 10/1416346.Finally, GCF of Fractions for 6890/218, 8110/6497 is 10/1416346.