GCF of 9860/360, 3116/3522
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9860/360, 3116/3522 i.e 4/211320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9860/360, 3116/3522.
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 9860/360,3116/3522?
Given fractions are 9860/360,3116/3522
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 9860/360,3116/3522, numerators are 9860,3116
Denominators are 360,3522
The GCF of 9860,3116 is 4 .
LCM of 360,3522 is 211320.
The greatest common factor of 9860/360,3116/3522 = [GCF of 9860,3116]/[LCM of 360,3522]= 4/211320
Therefore, the GCF of 9860/360,3116/3522 is 4/211320.
To find the highest common factor of 9860,3116, we have to find the factors of both numbers and list the highest common factor.
The factors of 9860 are 1, 2, 4, 5, 10, 17, 20, 29, 34, 58, 68, 85, 116, 145, 170, 290, 340, 493, 580, 986, 1972, 2465, 4930, 9860
The factors of 3116 are 1, 2, 4, 19, 38, 41, 76, 82, 164, 779, 1558, 3116
The HCF of 9860,3116 is 4.
Lets's calculate GCF of 9860,3116
| 2 | 9860, 3116 |
| 2 | 4930, 1558 |
| 2465, 779 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 9860,3116 By Matching Biggest Common Factor Method
Now, list down the factors of 9860
:1,2,4,5,10,17,20,29,34,58,68,85,116,145,170,290,340,493,580,986,1972,2465,4930,9860
Now, list down the factors of 3116
:1,2,4,19,38,41,76,82,164,779,1558,3116
Greatest Common Factor
We found the factors 9860,3116 . The biggest common factor number is the GCF number.
So the greatest common factor 9860,3116 is 4.
Lets's calculate LCM of 360,3522
| 2 | 360, 3522 |
| 3 | 180, 1761 |
| 60, 587 |
∴ So the LCM of the given numbers is 2 x 3 x 60 x 587 = 211320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/211320
Therefore, the GCF of Fractions 9860/360,3116/3522 is 4/211320
Least Common Multiple of 360,3522 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 360,3522 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(360,3522) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(360,3522) x common factors =6 x 1 = 6
LCM(360,3522) = ( 360 × 3522 ) / 6
LCM(360,3522) = 1267920 / 6
LCM(360,3522) = 211320
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9860/360, 3116/3522
1. What is the HCF of 9860,3116?
The HCF of 9860,3116 is 4
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 9860/360, 3116/3522?
Answer: GCF of Numerators as per given numbers 9860/360, 3116/3522 is
GCF of Numerators i.e. for 9860,3116 is 4
LCM of denominators i.e. for 360,3522 is 211320.
Thus, GCF of Fractions is 4/211320.Finally, GCF of Fractions for 9860/360, 3116/3522 is 4/211320.