GCF of 9940/493, 1110/488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9940/493, 1110/488 i.e 10/240584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9940/493, 1110/488.
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 9940/493,1110/488?
Given fractions are 9940/493,1110/488
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 9940/493,1110/488, numerators are 9940,1110
Denominators are 493,488
The GCF of 9940,1110 is 10 .
LCM of 493,488 is 240584.
The greatest common factor of 9940/493,1110/488 = [GCF of 9940,1110]/[LCM of 493,488]= 10/240584
Therefore, the GCF of 9940/493,1110/488 is 10/240584.
To find the highest common factor of 9940,1110, we have to find the factors of both numbers and list the highest common factor.
The factors of 9940 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 71, 140, 142, 284, 355, 497, 710, 994, 1420, 1988, 2485, 4970, 9940
The factors of 1110 are 1, 2, 3, 5, 6, 10, 15, 30, 37, 74, 111, 185, 222, 370, 555, 1110
The HCF of 9940,1110 is 10.
Lets's calculate GCF of 9940,1110
| 2 | 9940, 1110 |
| 5 | 4970, 555 |
| 994, 111 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 9940,1110 By Matching Biggest Common Factor Method
Now, list down the factors of 9940
:1,2,4,5,7,10,14,20,28,35,70,71,140,142,284,355,497,710,994,1420,1988,2485,4970,9940
Now, list down the factors of 1110
:1,2,3,5,6,10,15,30,37,74,111,185,222,370,555,1110
Greatest Common Factor
We found the factors 9940,1110 . The biggest common factor number is the GCF number.
So the greatest common factor 9940,1110 is 10.
Lets's calculate LCM of 493,488
Given numbers has no common factors except 1. So, there LCM is their product i.e 240584
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/240584
Therefore, the GCF of Fractions 9940/493,1110/488 is 10/240584
Least Common Multiple of 493,488 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 493,488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(493,488) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(493,488) x common factors =1 x 1 = 1
LCM(493,488) = ( 493 × 488 ) / 1
LCM(493,488) = 240584 / 1
LCM(493,488) = 240584
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FAQs on GCF of Fractions of 9940/493, 1110/488
1. What is the HCF of 9940,1110?
The HCF of 9940,1110 is 10
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 9940/493, 1110/488?
Answer: GCF of Numerators as per given numbers 9940/493, 1110/488 is
GCF of Numerators i.e. for 9940,1110 is 10
LCM of denominators i.e. for 493,488 is 240584.
Thus, GCF of Fractions is 10/240584.Finally, GCF of Fractions for 9940/493, 1110/488 is 10/240584.