GCF of 5216/613, 4473/7688
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5216/613, 4473/7688 i.e 1/4712744 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5216/613, 4473/7688.
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 5216/613,4473/7688?
Given fractions are 5216/613,4473/7688
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 5216/613,4473/7688, numerators are 5216,4473
Denominators are 613,7688
The GCF of 5216,4473 is 1 .
LCM of 613,7688 is 4712744.
The greatest common factor of 5216/613,4473/7688 = [GCF of 5216,4473]/[LCM of 613,7688]= 1/4712744
Therefore, the GCF of 5216/613,4473/7688 is 1/4712744.
To find the highest common factor of 5216,4473, we have to find the factors of both numbers and list the highest common factor.
The factors of 5216 are 1, 2, 4, 8, 16, 32, 163, 326, 652, 1304, 2608, 5216
The factors of 4473 are 1, 3, 7, 9, 21, 63, 71, 213, 497, 639, 1491, 4473
The HCF of 5216,4473 is 1.
Lets's calculate GCF of 5216,4473
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5216,4473 By Matching Biggest Common Factor Method
Now, list down the factors of 5216
:1,2,4,8,16,32,163,326,652,1304,2608,5216
Now, list down the factors of 4473
:1,3,7,9,21,63,71,213,497,639,1491,4473
Greatest Common Factor
We found the factors 5216,4473 . The biggest common factor number is the GCF number.
So the greatest common factor 5216,4473 is 1.
Lets's calculate LCM of 613,7688
Given numbers has no common factors except 1. So, there LCM is their product i.e 4712744
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4712744
Therefore, the GCF of Fractions 5216/613,4473/7688 is 1/4712744
Least Common Multiple of 613,7688 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 613,7688 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(613,7688) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(613,7688) x common factors =1 x 1 = 1
LCM(613,7688) = ( 613 × 7688 ) / 1
LCM(613,7688) = 4712744 / 1
LCM(613,7688) = 4712744
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5216/613, 4473/7688
1. What is the HCF of 5216,4473?
The HCF of 5216,4473 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 5216/613, 4473/7688?
Answer: GCF of Numerators as per given numbers 5216/613, 4473/7688 is
GCF of Numerators i.e. for 5216,4473 is 1
LCM of denominators i.e. for 613,7688 is 4712744.
Thus, GCF of Fractions is 1/4712744.Finally, GCF of Fractions for 5216/613, 4473/7688 is 1/4712744.