GCF of 9920/426, 4991/146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9920/426, 4991/146 i.e 31/31098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9920/426, 4991/146.
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 9920/426,4991/146?
Given fractions are 9920/426,4991/146
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 9920/426,4991/146, numerators are 9920,4991
Denominators are 426,146
The GCF of 9920,4991 is 31 .
LCM of 426,146 is 31098.
The greatest common factor of 9920/426,4991/146 = [GCF of 9920,4991]/[LCM of 426,146]= 31/31098
Therefore, the GCF of 9920/426,4991/146 is 31/31098.
To find the highest common factor of 9920,4991, we have to find the factors of both numbers and list the highest common factor.
The factors of 9920 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 32, 40, 62, 64, 80, 124, 155, 160, 248, 310, 320, 496, 620, 992, 1240, 1984, 2480, 4960, 9920
The factors of 4991 are 1, 7, 23, 31, 161, 217, 713, 4991
The HCF of 9920,4991 is 31.
Lets's calculate GCF of 9920,4991
| 31 | 9920, 4991 |
| 320, 161 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 9920,4991 By Matching Biggest Common Factor Method
Now, list down the factors of 9920
:1,2,4,5,8,10,16,20,31,32,40,62,64,80,124,155,160,248,310,320,496,620,992,1240,1984,2480,4960,9920
Now, list down the factors of 4991
:1,7,23,31,161,217,713,4991
Greatest Common Factor
We found the factors 9920,4991 . The biggest common factor number is the GCF number.
So the greatest common factor 9920,4991 is 31.
Lets's calculate LCM of 426,146
| 2 | 426, 146 |
| 213, 73 |
∴ So the LCM of the given numbers is 2 x 213 x 73 = 31098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/31098
Therefore, the GCF of Fractions 9920/426,4991/146 is 31/31098
Least Common Multiple of 426,146 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 426,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(426,146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(426,146) x common factors =2 x 1 = 2
LCM(426,146) = ( 426 × 146 ) / 2
LCM(426,146) = 62196 / 2
LCM(426,146) = 31098
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FAQs on GCF of Fractions of 9920/426, 4991/146
1. What is the HCF of 9920,4991?
The HCF of 9920,4991 is 31
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 9920/426, 4991/146?
Answer: GCF of Numerators as per given numbers 9920/426, 4991/146 is
GCF of Numerators i.e. for 9920,4991 is 31
LCM of denominators i.e. for 426,146 is 31098.
Thus, GCF of Fractions is 31/31098.Finally, GCF of Fractions for 9920/426, 4991/146 is 31/31098.