GCF of 994/141, 6390/9753
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 994/141, 6390/9753 i.e 142/458391 easily. The following is the detailed procedure to determine the greatest common factor of fractions 994/141, 6390/9753.
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 994/141,6390/9753?
Given fractions are 994/141,6390/9753
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 994/141,6390/9753, numerators are 994,6390
Denominators are 141,9753
The GCF of 994,6390 is 142 .
LCM of 141,9753 is 458391.
The greatest common factor of 994/141,6390/9753 = [GCF of 994,6390]/[LCM of 141,9753]= 142/458391
Therefore, the GCF of 994/141,6390/9753 is 142/458391.
To find the highest common factor of 994,6390, we have to find the factors of both numbers and list the highest common factor.
The factors of 994 are 1, 2, 7, 14, 71, 142, 497, 994
The factors of 6390 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 71, 90, 142, 213, 355, 426, 639, 710, 1065, 1278, 2130, 3195, 6390
The HCF of 994,6390 is 142.
Lets's calculate GCF of 994,6390
| 2 | 994, 6390 |
| 71 | 497, 3195 |
| 7, 45 |
∴ So the GCF of the given numbers is 2 x 71 = 142
Greatest Common Factor of 994,6390 By Matching Biggest Common Factor Method
Now, list down the factors of 994
:1,2,7,14,71,142,497,994
Now, list down the factors of 6390
:1,2,3,5,6,9,10,15,18,30,45,71,90,142,213,355,426,639,710,1065,1278,2130,3195,6390
Greatest Common Factor
We found the factors 994,6390 . The biggest common factor number is the GCF number.
So the greatest common factor 994,6390 is 142.
Lets's calculate LCM of 141,9753
| 3 | 141, 9753 |
| 47, 3251 |
∴ So the LCM of the given numbers is 3 x 47 x 3251 = 458391
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 142/458391
Therefore, the GCF of Fractions 994/141,6390/9753 is 142/458391
Least Common Multiple of 141,9753 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 141,9753 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(141,9753) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(141,9753) x common factors =3 x 1 = 3
LCM(141,9753) = ( 141 × 9753 ) / 3
LCM(141,9753) = 1375173 / 3
LCM(141,9753) = 458391
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FAQs on GCF of Fractions of 994/141, 6390/9753
1. What is the HCF of 994,6390?
The HCF of 994,6390 is 142
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 994/141, 6390/9753?
Answer: GCF of Numerators as per given numbers 994/141, 6390/9753 is
GCF of Numerators i.e. for 994,6390 is 142
LCM of denominators i.e. for 141,9753 is 458391.
Thus, GCF of Fractions is 142/458391.Finally, GCF of Fractions for 994/141, 6390/9753 is 142/458391.