GCF of 9874/122, 7983/318
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9874/122, 7983/318 i.e 1/19398 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9874/122, 7983/318.
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 9874/122,7983/318?
Given fractions are 9874/122,7983/318
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 9874/122,7983/318, numerators are 9874,7983
Denominators are 122,318
The GCF of 9874,7983 is 1 .
LCM of 122,318 is 19398.
The greatest common factor of 9874/122,7983/318 = [GCF of 9874,7983]/[LCM of 122,318]= 1/19398
Therefore, the GCF of 9874/122,7983/318 is 1/19398.
To find the highest common factor of 9874,7983, we have to find the factors of both numbers and list the highest common factor.
The factors of 9874 are 1, 2, 4937, 9874
The factors of 7983 are 1, 3, 9, 887, 2661, 7983
The HCF of 9874,7983 is 1.
Lets's calculate GCF of 9874,7983
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9874,7983 By Matching Biggest Common Factor Method
Now, list down the factors of 9874
:1,2,4937,9874
Now, list down the factors of 7983
:1,3,9,887,2661,7983
Greatest Common Factor
We found the factors 9874,7983 . The biggest common factor number is the GCF number.
So the greatest common factor 9874,7983 is 1.
Lets's calculate LCM of 122,318
| 2 | 122, 318 |
| 61, 159 |
∴ So the LCM of the given numbers is 2 x 61 x 159 = 19398
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19398
Therefore, the GCF of Fractions 9874/122,7983/318 is 1/19398
Least Common Multiple of 122,318 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 122,318 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,318) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,318) x common factors =2 x 1 = 2
LCM(122,318) = ( 122 × 318 ) / 2
LCM(122,318) = 38796 / 2
LCM(122,318) = 19398
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FAQs on GCF of Fractions of 9874/122, 7983/318
1. What is the HCF of 9874,7983?
The HCF of 9874,7983 is 1
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 9874/122, 7983/318?
Answer: GCF of Numerators as per given numbers 9874/122, 7983/318 is
GCF of Numerators i.e. for 9874,7983 is 1
LCM of denominators i.e. for 122,318 is 19398.
Thus, GCF of Fractions is 1/19398.Finally, GCF of Fractions for 9874/122, 7983/318 is 1/19398.