How to Find GCF of 8603/279, 2213/8599?

GCF of 8603/279, 2213/8599

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 8603/279, 2213/8599 i.e 1/2399121 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8603/279, 2213/8599.

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 8603/279,2213/8599?

Given fractions are 8603/279,2213/8599

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 8603/279,2213/8599, numerators are 8603,2213

Denominators are 279,8599

The GCF of 8603,2213 is 1 .

LCM of 279,8599 is 2399121.

The greatest common factor of 8603/279,2213/8599 = [GCF of 8603,2213]/[LCM of 279,8599]= 1/2399121

Therefore, the GCF of 8603/279,2213/8599 is 1/2399121.

Greatest Common Factor of 8603,2213

To find the highest common factor of 8603,2213, we have to find the factors of both numbers and list the highest common factor.

The factors of 8603 are 1, 7, 1229, 8603

The factors of 2213 are 1, 2213

The HCF of 8603,2213 is 1.

Lets's calculate GCF of 8603,2213

Greatest Common Factor (GCF) of 8603,2213 By Common Division

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

Greatest Common Factor of 8603,2213 By Matching Biggest Common Factor Method

Now, list down the factors of 8603

1,7,1229,8603

Now, list down the factors of 2213

1,2213

Greatest Common Factor

We found the factors 8603,2213 . The biggest common factor number is the GCF number.
So the greatest common factor 8603,2213 is 1.

Lets's calculate LCM of 279,8599

Lowest Common Multiple of 279,8599 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2399121

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2399121

Therefore, the GCF of Fractions 8603/279,2213/8599 is 1/2399121

Least Common Multiple of 279,8599 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 279,8599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(279,8599) = 1

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

GCF(279,8599) x common factors =1 x 1 = 1

LCM(279,8599) = ( 279 × 8599 ) / 1

LCM(279,8599) = 2399121 / 1

LCM(279,8599) = 2399121

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FAQs on GCF of Fractions of 8603/279, 2213/8599

1. What is the HCF of 8603,2213?

The HCF of 8603,2213 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 8603/279, 2213/8599?

Answer: GCF of Numerators as per given numbers 8603/279, 2213/8599 is

GCF of Numerators i.e. for 8603,2213 is 1

LCM of denominators i.e. for 279,8599 is 2399121.

Thus, GCF of Fractions is 1/2399121.Finally, GCF of Fractions for 8603/279, 2213/8599 is 1/2399121.