GCF of 1718/849, 9860/6225
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1718/849, 9860/6225 i.e 2/1761675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1718/849, 9860/6225.
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 1718/849,9860/6225?
Given fractions are 1718/849,9860/6225
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 1718/849,9860/6225, numerators are 1718,9860
Denominators are 849,6225
The GCF of 1718,9860 is 2 .
LCM of 849,6225 is 1761675.
The greatest common factor of 1718/849,9860/6225 = [GCF of 1718,9860]/[LCM of 849,6225]= 2/1761675
Therefore, the GCF of 1718/849,9860/6225 is 2/1761675.
To find the highest common factor of 1718,9860, we have to find the factors of both numbers and list the highest common factor.
The factors of 1718 are 1, 2, 859, 1718
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 HCF of 1718,9860 is 2.
Lets's calculate GCF of 1718,9860
| 2 | 1718, 9860 |
| 859, 4930 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1718,9860 By Matching Biggest Common Factor Method
Now, list down the factors of 1718
:1,2,859,1718
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
Greatest Common Factor
We found the factors 1718,9860 . The biggest common factor number is the GCF number.
So the greatest common factor 1718,9860 is 2.
Lets's calculate LCM of 849,6225
| 3 | 849, 6225 |
| 283, 2075 |
∴ So the LCM of the given numbers is 3 x 283 x 2075 = 1761675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1761675
Therefore, the GCF of Fractions 1718/849,9860/6225 is 2/1761675
Least Common Multiple of 849,6225 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 849,6225 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(849,6225) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(849,6225) x common factors =3 x 1 = 3
LCM(849,6225) = ( 849 × 6225 ) / 3
LCM(849,6225) = 5285025 / 3
LCM(849,6225) = 1761675
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FAQs on GCF of Fractions of 1718/849, 9860/6225
1. What is the HCF of 1718,9860?
The HCF of 1718,9860 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 1718/849, 9860/6225?
Answer: GCF of Numerators as per given numbers 1718/849, 9860/6225 is
GCF of Numerators i.e. for 1718,9860 is 2
LCM of denominators i.e. for 849,6225 is 1761675.
Thus, GCF of Fractions is 2/1761675.Finally, GCF of Fractions for 1718/849, 9860/6225 is 2/1761675.