GCF of 1217/619, 8959/2619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1217/619, 8959/2619 i.e 1/1621161 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1217/619, 8959/2619.
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 1217/619,8959/2619?
Given fractions are 1217/619,8959/2619
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 1217/619,8959/2619, numerators are 1217,8959
Denominators are 619,2619
The GCF of 1217,8959 is 1 .
LCM of 619,2619 is 1621161.
The greatest common factor of 1217/619,8959/2619 = [GCF of 1217,8959]/[LCM of 619,2619]= 1/1621161
Therefore, the GCF of 1217/619,8959/2619 is 1/1621161.
To find the highest common factor of 1217,8959, we have to find the factors of both numbers and list the highest common factor.
The factors of 1217 are 1, 1217
The factors of 8959 are 1, 17, 31, 289, 527, 8959
The HCF of 1217,8959 is 1.
Lets's calculate GCF of 1217,8959
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1217,8959 By Matching Biggest Common Factor Method
Now, list down the factors of 1217
:1,1217
Now, list down the factors of 8959
:1,17,31,289,527,8959
Greatest Common Factor
We found the factors 1217,8959 . The biggest common factor number is the GCF number.
So the greatest common factor 1217,8959 is 1.
Lets's calculate LCM of 619,2619
Given numbers has no common factors except 1. So, there LCM is their product i.e 1621161
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1621161
Therefore, the GCF of Fractions 1217/619,8959/2619 is 1/1621161
Least Common Multiple of 619,2619 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 619,2619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(619,2619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(619,2619) x common factors =1 x 1 = 1
LCM(619,2619) = ( 619 × 2619 ) / 1
LCM(619,2619) = 1621161 / 1
LCM(619,2619) = 1621161
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 1217/619, 8959/2619
1. What is the HCF of 1217,8959?
The HCF of 1217,8959 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 1217/619, 8959/2619?
Answer: GCF of Numerators as per given numbers 1217/619, 8959/2619 is
GCF of Numerators i.e. for 1217,8959 is 1
LCM of denominators i.e. for 619,2619 is 1621161.
Thus, GCF of Fractions is 1/1621161.Finally, GCF of Fractions for 1217/619, 8959/2619 is 1/1621161.