GCF of 9790/372, 9350/7452
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9790/372, 9350/7452 i.e 110/231012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9790/372, 9350/7452.
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 9790/372,9350/7452?
Given fractions are 9790/372,9350/7452
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 9790/372,9350/7452, numerators are 9790,9350
Denominators are 372,7452
The GCF of 9790,9350 is 110 .
LCM of 372,7452 is 231012.
The greatest common factor of 9790/372,9350/7452 = [GCF of 9790,9350]/[LCM of 372,7452]= 110/231012
Therefore, the GCF of 9790/372,9350/7452 is 110/231012.
To find the highest common factor of 9790,9350, we have to find the factors of both numbers and list the highest common factor.
The factors of 9790 are 1, 2, 5, 10, 11, 22, 55, 89, 110, 178, 445, 890, 979, 1958, 4895, 9790
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 HCF of 9790,9350 is 110.
Lets's calculate GCF of 9790,9350
| 2 | 9790, 9350 |
| 5 | 4895, 4675 |
| 11 | 979, 935 |
| 89, 85 |
∴ So the GCF of the given numbers is 2 x 5 x 11 = 110
Greatest Common Factor of 9790,9350 By Matching Biggest Common Factor Method
Now, list down the factors of 9790
:1,2,5,10,11,22,55,89,110,178,445,890,979,1958,4895,9790
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
Greatest Common Factor
We found the factors 9790,9350 . The biggest common factor number is the GCF number.
So the greatest common factor 9790,9350 is 110.
Lets's calculate LCM of 372,7452
| 2 | 372, 7452 |
| 2 | 186, 3726 |
| 3 | 93, 1863 |
| 31, 621 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 31 x 621 = 231012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 110/231012
Therefore, the GCF of Fractions 9790/372,9350/7452 is 110/231012
Least Common Multiple of 372,7452 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 372,7452 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,7452) = 12
common factors(in case of two or more numbers have common factors) = 1
GCF(372,7452) x common factors =12 x 1 = 12
LCM(372,7452) = ( 372 × 7452 ) / 12
LCM(372,7452) = 2772144 / 12
LCM(372,7452) = 231012
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FAQs on GCF of Fractions of 9790/372, 9350/7452
1. What is the HCF of 9790,9350?
The HCF of 9790,9350 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 9790/372, 9350/7452?
Answer: GCF of Numerators as per given numbers 9790/372, 9350/7452 is
GCF of Numerators i.e. for 9790,9350 is 110
LCM of denominators i.e. for 372,7452 is 231012.
Thus, GCF of Fractions is 110/231012.Finally, GCF of Fractions for 9790/372, 9350/7452 is 110/231012.