GCF of 1205/811, 2598/6397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1205/811, 2598/6397 i.e 1/5187967 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1205/811, 2598/6397.
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 1205/811,2598/6397?
Given fractions are 1205/811,2598/6397
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 1205/811,2598/6397, numerators are 1205,2598
Denominators are 811,6397
The GCF of 1205,2598 is 1 .
LCM of 811,6397 is 5187967.
The greatest common factor of 1205/811,2598/6397 = [GCF of 1205,2598]/[LCM of 811,6397]= 1/5187967
Therefore, the GCF of 1205/811,2598/6397 is 1/5187967.
To find the highest common factor of 1205,2598, we have to find the factors of both numbers and list the highest common factor.
The factors of 1205 are 1, 5, 241, 1205
The factors of 2598 are 1, 2, 3, 6, 433, 866, 1299, 2598
The HCF of 1205,2598 is 1.
Lets's calculate GCF of 1205,2598
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1205,2598 By Matching Biggest Common Factor Method
Now, list down the factors of 1205
:1,5,241,1205
Now, list down the factors of 2598
:1,2,3,6,433,866,1299,2598
Greatest Common Factor
We found the factors 1205,2598 . The biggest common factor number is the GCF number.
So the greatest common factor 1205,2598 is 1.
Lets's calculate LCM of 811,6397
Given numbers has no common factors except 1. So, there LCM is their product i.e 5187967
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5187967
Therefore, the GCF of Fractions 1205/811,2598/6397 is 1/5187967
Least Common Multiple of 811,6397 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 811,6397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,6397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,6397) x common factors =1 x 1 = 1
LCM(811,6397) = ( 811 × 6397 ) / 1
LCM(811,6397) = 5187967 / 1
LCM(811,6397) = 5187967
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1205/811, 2598/6397
1. What is the HCF of 1205,2598?
The HCF of 1205,2598 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 1205/811, 2598/6397?
Answer: GCF of Numerators as per given numbers 1205/811, 2598/6397 is
GCF of Numerators i.e. for 1205,2598 is 1
LCM of denominators i.e. for 811,6397 is 5187967.
Thus, GCF of Fractions is 1/5187967.Finally, GCF of Fractions for 1205/811, 2598/6397 is 1/5187967.