GCF of 2993/504, 8158/9967
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2993/504, 8158/9967 i.e 1/5023368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2993/504, 8158/9967.
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 2993/504,8158/9967?
Given fractions are 2993/504,8158/9967
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 2993/504,8158/9967, numerators are 2993,8158
Denominators are 504,9967
The GCF of 2993,8158 is 1 .
LCM of 504,9967 is 5023368.
The greatest common factor of 2993/504,8158/9967 = [GCF of 2993,8158]/[LCM of 504,9967]= 1/5023368
Therefore, the GCF of 2993/504,8158/9967 is 1/5023368.
To find the highest common factor of 2993,8158, we have to find the factors of both numbers and list the highest common factor.
The factors of 2993 are 1, 41, 73, 2993
The factors of 8158 are 1, 2, 4079, 8158
The HCF of 2993,8158 is 1.
Lets's calculate GCF of 2993,8158
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2993,8158 By Matching Biggest Common Factor Method
Now, list down the factors of 2993
:1,41,73,2993
Now, list down the factors of 8158
:1,2,4079,8158
Greatest Common Factor
We found the factors 2993,8158 . The biggest common factor number is the GCF number.
So the greatest common factor 2993,8158 is 1.
Lets's calculate LCM of 504,9967
Given numbers has no common factors except 1. So, there LCM is their product i.e 5023368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5023368
Therefore, the GCF of Fractions 2993/504,8158/9967 is 1/5023368
Least Common Multiple of 504,9967 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 504,9967 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,9967) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(504,9967) x common factors =1 x 1 = 1
LCM(504,9967) = ( 504 × 9967 ) / 1
LCM(504,9967) = 5023368 / 1
LCM(504,9967) = 5023368
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FAQs on GCF of Fractions of 2993/504, 8158/9967
1. What is the HCF of 2993,8158?
The HCF of 2993,8158 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 2993/504, 8158/9967?
Answer: GCF of Numerators as per given numbers 2993/504, 8158/9967 is
GCF of Numerators i.e. for 2993,8158 is 1
LCM of denominators i.e. for 504,9967 is 5023368.
Thus, GCF of Fractions is 1/5023368.Finally, GCF of Fractions for 2993/504, 8158/9967 is 1/5023368.