GCF of 5963/326, 6942/9241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5963/326, 6942/9241 i.e 89/3012566 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5963/326, 6942/9241.
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 5963/326,6942/9241?
Given fractions are 5963/326,6942/9241
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 5963/326,6942/9241, numerators are 5963,6942
Denominators are 326,9241
The GCF of 5963,6942 is 89 .
LCM of 326,9241 is 3012566.
The greatest common factor of 5963/326,6942/9241 = [GCF of 5963,6942]/[LCM of 326,9241]= 89/3012566
Therefore, the GCF of 5963/326,6942/9241 is 89/3012566.
To find the highest common factor of 5963,6942, we have to find the factors of both numbers and list the highest common factor.
The factors of 5963 are 1, 67, 89, 5963
The factors of 6942 are 1, 2, 3, 6, 13, 26, 39, 78, 89, 178, 267, 534, 1157, 2314, 3471, 6942
The HCF of 5963,6942 is 89.
Lets's calculate GCF of 5963,6942
| 89 | 5963, 6942 |
| 67, 78 |
∴ So the GCF of the given numbers is 89 = 89
Greatest Common Factor of 5963,6942 By Matching Biggest Common Factor Method
Now, list down the factors of 5963
:1,67,89,5963
Now, list down the factors of 6942
:1,2,3,6,13,26,39,78,89,178,267,534,1157,2314,3471,6942
Greatest Common Factor
We found the factors 5963,6942 . The biggest common factor number is the GCF number.
So the greatest common factor 5963,6942 is 89.
Lets's calculate LCM of 326,9241
Given numbers has no common factors except 1. So, there LCM is their product i.e 3012566
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 89/3012566
Therefore, the GCF of Fractions 5963/326,6942/9241 is 89/3012566
Least Common Multiple of 326,9241 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 326,9241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(326,9241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(326,9241) x common factors =1 x 1 = 1
LCM(326,9241) = ( 326 × 9241 ) / 1
LCM(326,9241) = 3012566 / 1
LCM(326,9241) = 3012566
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FAQs on GCF of Fractions of 5963/326, 6942/9241
1. What is the HCF of 5963,6942?
The HCF of 5963,6942 is 89
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 5963/326, 6942/9241?
Answer: GCF of Numerators as per given numbers 5963/326, 6942/9241 is
GCF of Numerators i.e. for 5963,6942 is 89
LCM of denominators i.e. for 326,9241 is 3012566.
Thus, GCF of Fractions is 89/3012566.Finally, GCF of Fractions for 5963/326, 6942/9241 is 89/3012566.