GCF of 7327/599, 5056/1262
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7327/599, 5056/1262 i.e 1/755938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7327/599, 5056/1262.
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 7327/599,5056/1262?
Given fractions are 7327/599,5056/1262
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 7327/599,5056/1262, numerators are 7327,5056
Denominators are 599,1262
The GCF of 7327,5056 is 1 .
LCM of 599,1262 is 755938.
The greatest common factor of 7327/599,5056/1262 = [GCF of 7327,5056]/[LCM of 599,1262]= 1/755938
Therefore, the GCF of 7327/599,5056/1262 is 1/755938.
To find the highest common factor of 7327,5056, we have to find the factors of both numbers and list the highest common factor.
The factors of 7327 are 1, 17, 431, 7327
The factors of 5056 are 1, 2, 4, 8, 16, 32, 64, 79, 158, 316, 632, 1264, 2528, 5056
The HCF of 7327,5056 is 1.
Lets's calculate GCF of 7327,5056
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7327,5056 By Matching Biggest Common Factor Method
Now, list down the factors of 7327
:1,17,431,7327
Now, list down the factors of 5056
:1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056
Greatest Common Factor
We found the factors 7327,5056 . The biggest common factor number is the GCF number.
So the greatest common factor 7327,5056 is 1.
Lets's calculate LCM of 599,1262
Given numbers has no common factors except 1. So, there LCM is their product i.e 755938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/755938
Therefore, the GCF of Fractions 7327/599,5056/1262 is 1/755938
Least Common Multiple of 599,1262 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 599,1262 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(599,1262) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(599,1262) x common factors =1 x 1 = 1
LCM(599,1262) = ( 599 × 1262 ) / 1
LCM(599,1262) = 755938 / 1
LCM(599,1262) = 755938
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FAQs on GCF of Fractions of 7327/599, 5056/1262
1. What is the HCF of 7327,5056?
The HCF of 7327,5056 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 7327/599, 5056/1262?
Answer: GCF of Numerators as per given numbers 7327/599, 5056/1262 is
GCF of Numerators i.e. for 7327,5056 is 1
LCM of denominators i.e. for 599,1262 is 755938.
Thus, GCF of Fractions is 1/755938.Finally, GCF of Fractions for 7327/599, 5056/1262 is 1/755938.