GCF of 9742/219, 8662/9625
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9742/219, 8662/9625 i.e 2/2107875 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9742/219, 8662/9625.
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 9742/219,8662/9625?
Given fractions are 9742/219,8662/9625
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 9742/219,8662/9625, numerators are 9742,8662
Denominators are 219,9625
The GCF of 9742,8662 is 2 .
LCM of 219,9625 is 2107875.
The greatest common factor of 9742/219,8662/9625 = [GCF of 9742,8662]/[LCM of 219,9625]= 2/2107875
Therefore, the GCF of 9742/219,8662/9625 is 2/2107875.
To find the highest common factor of 9742,8662, we have to find the factors of both numbers and list the highest common factor.
The factors of 9742 are 1, 2, 4871, 9742
The factors of 8662 are 1, 2, 61, 71, 122, 142, 4331, 8662
The HCF of 9742,8662 is 2.
Lets's calculate GCF of 9742,8662
| 2 | 9742, 8662 |
| 4871, 4331 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9742,8662 By Matching Biggest Common Factor Method
Now, list down the factors of 9742
:1,2,4871,9742
Now, list down the factors of 8662
:1,2,61,71,122,142,4331,8662
Greatest Common Factor
We found the factors 9742,8662 . The biggest common factor number is the GCF number.
So the greatest common factor 9742,8662 is 2.
Lets's calculate LCM of 219,9625
Given numbers has no common factors except 1. So, there LCM is their product i.e 2107875
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2107875
Therefore, the GCF of Fractions 9742/219,8662/9625 is 2/2107875
Least Common Multiple of 219,9625 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 219,9625 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(219,9625) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(219,9625) x common factors =1 x 1 = 1
LCM(219,9625) = ( 219 × 9625 ) / 1
LCM(219,9625) = 2107875 / 1
LCM(219,9625) = 2107875
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9742/219, 8662/9625
1. What is the HCF of 9742,8662?
The HCF of 9742,8662 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 9742/219, 8662/9625?
Answer: GCF of Numerators as per given numbers 9742/219, 8662/9625 is
GCF of Numerators i.e. for 9742,8662 is 2
LCM of denominators i.e. for 219,9625 is 2107875.
Thus, GCF of Fractions is 2/2107875.Finally, GCF of Fractions for 9742/219, 8662/9625 is 2/2107875.