GCF of 9988/949, 5170/4308
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9988/949, 5170/4308 i.e 22/4088292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9988/949, 5170/4308.
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 9988/949,5170/4308?
Given fractions are 9988/949,5170/4308
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 9988/949,5170/4308, numerators are 9988,5170
Denominators are 949,4308
The GCF of 9988,5170 is 22 .
LCM of 949,4308 is 4088292.
The greatest common factor of 9988/949,5170/4308 = [GCF of 9988,5170]/[LCM of 949,4308]= 22/4088292
Therefore, the GCF of 9988/949,5170/4308 is 22/4088292.
To find the highest common factor of 9988,5170, we have to find the factors of both numbers and list the highest common factor.
The factors of 9988 are 1, 2, 4, 11, 22, 44, 227, 454, 908, 2497, 4994, 9988
The factors of 5170 are 1, 2, 5, 10, 11, 22, 47, 55, 94, 110, 235, 470, 517, 1034, 2585, 5170
The HCF of 9988,5170 is 22.
Lets's calculate GCF of 9988,5170
| 2 | 9988, 5170 |
| 11 | 4994, 2585 |
| 454, 235 |
∴ So the GCF of the given numbers is 2 x 11 = 22
Greatest Common Factor of 9988,5170 By Matching Biggest Common Factor Method
Now, list down the factors of 9988
:1,2,4,11,22,44,227,454,908,2497,4994,9988
Now, list down the factors of 5170
:1,2,5,10,11,22,47,55,94,110,235,470,517,1034,2585,5170
Greatest Common Factor
We found the factors 9988,5170 . The biggest common factor number is the GCF number.
So the greatest common factor 9988,5170 is 22.
Lets's calculate LCM of 949,4308
Given numbers has no common factors except 1. So, there LCM is their product i.e 4088292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/4088292
Therefore, the GCF of Fractions 9988/949,5170/4308 is 22/4088292
Least Common Multiple of 949,4308 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 949,4308 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(949,4308) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(949,4308) x common factors =1 x 1 = 1
LCM(949,4308) = ( 949 × 4308 ) / 1
LCM(949,4308) = 4088292 / 1
LCM(949,4308) = 4088292
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FAQs on GCF of Fractions of 9988/949, 5170/4308
1. What is the HCF of 9988,5170?
The HCF of 9988,5170 is 22
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 9988/949, 5170/4308?
Answer: GCF of Numerators as per given numbers 9988/949, 5170/4308 is
GCF of Numerators i.e. for 9988,5170 is 22
LCM of denominators i.e. for 949,4308 is 4088292.
Thus, GCF of Fractions is 22/4088292.Finally, GCF of Fractions for 9988/949, 5170/4308 is 22/4088292.