GCF of 9350/978, 2970/356
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9350/978, 2970/356 i.e 110/174084 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9350/978, 2970/356.
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 9350/978,2970/356?
Given fractions are 9350/978,2970/356
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 9350/978,2970/356, numerators are 9350,2970
Denominators are 978,356
The GCF of 9350,2970 is 110 .
LCM of 978,356 is 174084.
The greatest common factor of 9350/978,2970/356 = [GCF of 9350,2970]/[LCM of 978,356]= 110/174084
Therefore, the GCF of 9350/978,2970/356 is 110/174084.
To find the highest common factor of 9350,2970, we have to find the factors of both numbers and list the highest common factor.
The factors of 9350 are 1, 2, 5, 10, 11, 17, 22, 25, 34, 50, 55, 85, 110, 170, 187, 275, 374, 425, 550, 850, 935, 1870, 4675, 9350
The factors of 2970 are 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 27, 30, 33, 45, 54, 55, 66, 90, 99, 110, 135, 165, 198, 270, 297, 330, 495, 594, 990, 1485, 2970
The HCF of 9350,2970 is 110.
Lets's calculate GCF of 9350,2970
| 2 | 9350, 2970 |
| 5 | 4675, 1485 |
| 11 | 935, 297 |
| 85, 27 |
∴ So the GCF of the given numbers is 2 x 5 x 11 = 110
Greatest Common Factor of 9350,2970 By Matching Biggest Common Factor Method
Now, list down the factors of 9350
:1,2,5,10,11,17,22,25,34,50,55,85,110,170,187,275,374,425,550,850,935,1870,4675,9350
Now, list down the factors of 2970
:1,2,3,5,6,9,10,11,15,18,22,27,30,33,45,54,55,66,90,99,110,135,165,198,270,297,330,495,594,990,1485,2970
Greatest Common Factor
We found the factors 9350,2970 . The biggest common factor number is the GCF number.
So the greatest common factor 9350,2970 is 110.
Lets's calculate LCM of 978,356
| 2 | 978, 356 |
| 489, 178 |
∴ So the LCM of the given numbers is 2 x 489 x 178 = 174084
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 110/174084
Therefore, the GCF of Fractions 9350/978,2970/356 is 110/174084
Least Common Multiple of 978,356 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 978,356 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,356) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,356) x common factors =2 x 1 = 2
LCM(978,356) = ( 978 × 356 ) / 2
LCM(978,356) = 348168 / 2
LCM(978,356) = 174084
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9350/978, 2970/356
1. What is the HCF of 9350,2970?
The HCF of 9350,2970 is 110
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 9350/978, 2970/356?
Answer: GCF of Numerators as per given numbers 9350/978, 2970/356 is
GCF of Numerators i.e. for 9350,2970 is 110
LCM of denominators i.e. for 978,356 is 174084.
Thus, GCF of Fractions is 110/174084.Finally, GCF of Fractions for 9350/978, 2970/356 is 110/174084.