GCF of 8599/955, 2813/967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8599/955, 2813/967 i.e 1/923485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8599/955, 2813/967.
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 8599/955,2813/967?
Given fractions are 8599/955,2813/967
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 8599/955,2813/967, numerators are 8599,2813
Denominators are 955,967
The GCF of 8599,2813 is 1 .
LCM of 955,967 is 923485.
The greatest common factor of 8599/955,2813/967 = [GCF of 8599,2813]/[LCM of 955,967]= 1/923485
Therefore, the GCF of 8599/955,2813/967 is 1/923485.
To find the highest common factor of 8599,2813, we have to find the factors of both numbers and list the highest common factor.
The factors of 8599 are 1, 8599
The factors of 2813 are 1, 29, 97, 2813
The HCF of 8599,2813 is 1.
Lets's calculate GCF of 8599,2813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8599,2813 By Matching Biggest Common Factor Method
Now, list down the factors of 8599
:1,8599
Now, list down the factors of 2813
:1,29,97,2813
Greatest Common Factor
We found the factors 8599,2813 . The biggest common factor number is the GCF number.
So the greatest common factor 8599,2813 is 1.
Lets's calculate LCM of 955,967
Given numbers has no common factors except 1. So, there LCM is their product i.e 923485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/923485
Therefore, the GCF of Fractions 8599/955,2813/967 is 1/923485
Least Common Multiple of 955,967 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 955,967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(955,967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(955,967) x common factors =1 x 1 = 1
LCM(955,967) = ( 955 × 967 ) / 1
LCM(955,967) = 923485 / 1
LCM(955,967) = 923485
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FAQs on GCF of Fractions of 8599/955, 2813/967
1. What is the HCF of 8599,2813?
The HCF of 8599,2813 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 8599/955, 2813/967?
Answer: GCF of Numerators as per given numbers 8599/955, 2813/967 is
GCF of Numerators i.e. for 8599,2813 is 1
LCM of denominators i.e. for 955,967 is 923485.
Thus, GCF of Fractions is 1/923485.Finally, GCF of Fractions for 8599/955, 2813/967 is 1/923485.