GCF of 8237/494, 6957/958
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8237/494, 6957/958 i.e 1/236626 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8237/494, 6957/958.
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 8237/494,6957/958?
Given fractions are 8237/494,6957/958
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 8237/494,6957/958, numerators are 8237,6957
Denominators are 494,958
The GCF of 8237,6957 is 1 .
LCM of 494,958 is 236626.
The greatest common factor of 8237/494,6957/958 = [GCF of 8237,6957]/[LCM of 494,958]= 1/236626
Therefore, the GCF of 8237/494,6957/958 is 1/236626.
To find the highest common factor of 8237,6957, we have to find the factors of both numbers and list the highest common factor.
The factors of 8237 are 1, 8237
The factors of 6957 are 1, 3, 9, 773, 2319, 6957
The HCF of 8237,6957 is 1.
Lets's calculate GCF of 8237,6957
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8237,6957 By Matching Biggest Common Factor Method
Now, list down the factors of 8237
:1,8237
Now, list down the factors of 6957
:1,3,9,773,2319,6957
Greatest Common Factor
We found the factors 8237,6957 . The biggest common factor number is the GCF number.
So the greatest common factor 8237,6957 is 1.
Lets's calculate LCM of 494,958
| 2 | 494, 958 |
| 247, 479 |
∴ So the LCM of the given numbers is 2 x 247 x 479 = 236626
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/236626
Therefore, the GCF of Fractions 8237/494,6957/958 is 1/236626
Least Common Multiple of 494,958 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 494,958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(494,958) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(494,958) x common factors =2 x 1 = 2
LCM(494,958) = ( 494 × 958 ) / 2
LCM(494,958) = 473252 / 2
LCM(494,958) = 236626
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FAQs on GCF of Fractions of 8237/494, 6957/958
1. What is the HCF of 8237,6957?
The HCF of 8237,6957 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 8237/494, 6957/958?
Answer: GCF of Numerators as per given numbers 8237/494, 6957/958 is
GCF of Numerators i.e. for 8237,6957 is 1
LCM of denominators i.e. for 494,958 is 236626.
Thus, GCF of Fractions is 1/236626.Finally, GCF of Fractions for 8237/494, 6957/958 is 1/236626.