GCF of 7205/311, 7916/4648
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7205/311, 7916/4648 i.e 1/1445528 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7205/311, 7916/4648.
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 7205/311,7916/4648?
Given fractions are 7205/311,7916/4648
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 7205/311,7916/4648, numerators are 7205,7916
Denominators are 311,4648
The GCF of 7205,7916 is 1 .
LCM of 311,4648 is 1445528.
The greatest common factor of 7205/311,7916/4648 = [GCF of 7205,7916]/[LCM of 311,4648]= 1/1445528
Therefore, the GCF of 7205/311,7916/4648 is 1/1445528.
To find the highest common factor of 7205,7916, we have to find the factors of both numbers and list the highest common factor.
The factors of 7205 are 1, 5, 11, 55, 131, 655, 1441, 7205
The factors of 7916 are 1, 2, 4, 1979, 3958, 7916
The HCF of 7205,7916 is 1.
Lets's calculate GCF of 7205,7916
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7205,7916 By Matching Biggest Common Factor Method
Now, list down the factors of 7205
:1,5,11,55,131,655,1441,7205
Now, list down the factors of 7916
:1,2,4,1979,3958,7916
Greatest Common Factor
We found the factors 7205,7916 . The biggest common factor number is the GCF number.
So the greatest common factor 7205,7916 is 1.
Lets's calculate LCM of 311,4648
Given numbers has no common factors except 1. So, there LCM is their product i.e 1445528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1445528
Therefore, the GCF of Fractions 7205/311,7916/4648 is 1/1445528
Least Common Multiple of 311,4648 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 311,4648 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(311,4648) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(311,4648) x common factors =1 x 1 = 1
LCM(311,4648) = ( 311 × 4648 ) / 1
LCM(311,4648) = 1445528 / 1
LCM(311,4648) = 1445528
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FAQs on GCF of Fractions of 7205/311, 7916/4648
1. What is the HCF of 7205,7916?
The HCF of 7205,7916 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 7205/311, 7916/4648?
Answer: GCF of Numerators as per given numbers 7205/311, 7916/4648 is
GCF of Numerators i.e. for 7205,7916 is 1
LCM of denominators i.e. for 311,4648 is 1445528.
Thus, GCF of Fractions is 1/1445528.Finally, GCF of Fractions for 7205/311, 7916/4648 is 1/1445528.