How to Find GCF of 8270/679, 5219/6170?

GCF of 8270/679, 5219/6170

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 8270/679, 5219/6170 i.e 1/4189430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8270/679, 5219/6170.

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 8270/679,5219/6170?

Given fractions are 8270/679,5219/6170

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 8270/679,5219/6170, numerators are 8270,5219

Denominators are 679,6170

The GCF of 8270,5219 is 1 .

LCM of 679,6170 is 4189430.

The greatest common factor of 8270/679,5219/6170 = [GCF of 8270,5219]/[LCM of 679,6170]= 1/4189430

Therefore, the GCF of 8270/679,5219/6170 is 1/4189430.

Greatest Common Factor of 8270,5219

To find the highest common factor of 8270,5219, we have to find the factors of both numbers and list the highest common factor.

The factors of 8270 are 1, 2, 5, 10, 827, 1654, 4135, 8270

The factors of 5219 are 1, 17, 307, 5219

The HCF of 8270,5219 is 1.

Lets's calculate GCF of 8270,5219

Greatest Common Factor (GCF) of 8270,5219 By Common Division

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

Greatest Common Factor of 8270,5219 By Matching Biggest Common Factor Method

Now, list down the factors of 8270

1,2,5,10,827,1654,4135,8270

Now, list down the factors of 5219

1,17,307,5219

Greatest Common Factor

We found the factors 8270,5219 . The biggest common factor number is the GCF number.
So the greatest common factor 8270,5219 is 1.

Lets's calculate LCM of 679,6170

Lowest Common Multiple of 679,6170 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4189430

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4189430

Therefore, the GCF of Fractions 8270/679,5219/6170 is 1/4189430

Least Common Multiple of 679,6170 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 679,6170 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(679,6170) = 1

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

GCF(679,6170) x common factors =1 x 1 = 1

LCM(679,6170) = ( 679 × 6170 ) / 1

LCM(679,6170) = 4189430 / 1

LCM(679,6170) = 4189430

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FAQs on GCF of Fractions of 8270/679, 5219/6170

1. What is the HCF of 8270,5219?

The HCF of 8270,5219 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 8270/679, 5219/6170?

Answer: GCF of Numerators as per given numbers 8270/679, 5219/6170 is

GCF of Numerators i.e. for 8270,5219 is 1

LCM of denominators i.e. for 679,6170 is 4189430.

Thus, GCF of Fractions is 1/4189430.Finally, GCF of Fractions for 8270/679, 5219/6170 is 1/4189430.