GCF of 5916/821, 5530/1597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5916/821, 5530/1597 i.e 2/1311137 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5916/821, 5530/1597.
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 5916/821,5530/1597?
Given fractions are 5916/821,5530/1597
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 5916/821,5530/1597, numerators are 5916,5530
Denominators are 821,1597
The GCF of 5916,5530 is 2 .
LCM of 821,1597 is 1311137.
The greatest common factor of 5916/821,5530/1597 = [GCF of 5916,5530]/[LCM of 821,1597]= 2/1311137
Therefore, the GCF of 5916/821,5530/1597 is 2/1311137.
To find the highest common factor of 5916,5530, we have to find the factors of both numbers and list the highest common factor.
The factors of 5916 are 1, 2, 3, 4, 6, 12, 17, 29, 34, 51, 58, 68, 87, 102, 116, 174, 204, 348, 493, 986, 1479, 1972, 2958, 5916
The factors of 5530 are 1, 2, 5, 7, 10, 14, 35, 70, 79, 158, 395, 553, 790, 1106, 2765, 5530
The HCF of 5916,5530 is 2.
Lets's calculate GCF of 5916,5530
| 2 | 5916, 5530 |
| 2958, 2765 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5916,5530 By Matching Biggest Common Factor Method
Now, list down the factors of 5916
:1,2,3,4,6,12,17,29,34,51,58,68,87,102,116,174,204,348,493,986,1479,1972,2958,5916
Now, list down the factors of 5530
:1,2,5,7,10,14,35,70,79,158,395,553,790,1106,2765,5530
Greatest Common Factor
We found the factors 5916,5530 . The biggest common factor number is the GCF number.
So the greatest common factor 5916,5530 is 2.
Lets's calculate LCM of 821,1597
Given numbers has no common factors except 1. So, there LCM is their product i.e 1311137
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1311137
Therefore, the GCF of Fractions 5916/821,5530/1597 is 2/1311137
Least Common Multiple of 821,1597 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 821,1597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(821,1597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(821,1597) x common factors =1 x 1 = 1
LCM(821,1597) = ( 821 × 1597 ) / 1
LCM(821,1597) = 1311137 / 1
LCM(821,1597) = 1311137
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 5916/821, 5530/1597
1. What is the HCF of 5916,5530?
The HCF of 5916,5530 is 2
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 5916/821, 5530/1597?
Answer: GCF of Numerators as per given numbers 5916/821, 5530/1597 is
GCF of Numerators i.e. for 5916,5530 is 2
LCM of denominators i.e. for 821,1597 is 1311137.
Thus, GCF of Fractions is 2/1311137.Finally, GCF of Fractions for 5916/821, 5530/1597 is 2/1311137.