GCF of 8341/766, 7610/496
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8341/766, 7610/496 i.e 1/189968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8341/766, 7610/496.
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 8341/766,7610/496?
Given fractions are 8341/766,7610/496
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 8341/766,7610/496, numerators are 8341,7610
Denominators are 766,496
The GCF of 8341,7610 is 1 .
LCM of 766,496 is 189968.
The greatest common factor of 8341/766,7610/496 = [GCF of 8341,7610]/[LCM of 766,496]= 1/189968
Therefore, the GCF of 8341/766,7610/496 is 1/189968.
To find the highest common factor of 8341,7610, we have to find the factors of both numbers and list the highest common factor.
The factors of 8341 are 1, 19, 439, 8341
The factors of 7610 are 1, 2, 5, 10, 761, 1522, 3805, 7610
The HCF of 8341,7610 is 1.
Lets's calculate GCF of 8341,7610
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8341,7610 By Matching Biggest Common Factor Method
Now, list down the factors of 8341
:1,19,439,8341
Now, list down the factors of 7610
:1,2,5,10,761,1522,3805,7610
Greatest Common Factor
We found the factors 8341,7610 . The biggest common factor number is the GCF number.
So the greatest common factor 8341,7610 is 1.
Lets's calculate LCM of 766,496
| 2 | 766, 496 |
| 383, 248 |
∴ So the LCM of the given numbers is 2 x 383 x 248 = 189968
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/189968
Therefore, the GCF of Fractions 8341/766,7610/496 is 1/189968
Least Common Multiple of 766,496 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 766,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(766,496) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(766,496) x common factors =2 x 1 = 2
LCM(766,496) = ( 766 × 496 ) / 2
LCM(766,496) = 379936 / 2
LCM(766,496) = 189968
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FAQs on GCF of Fractions of 8341/766, 7610/496
1. What is the HCF of 8341,7610?
The HCF of 8341,7610 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 8341/766, 7610/496?
Answer: GCF of Numerators as per given numbers 8341/766, 7610/496 is
GCF of Numerators i.e. for 8341,7610 is 1
LCM of denominators i.e. for 766,496 is 189968.
Thus, GCF of Fractions is 1/189968.Finally, GCF of Fractions for 8341/766, 7610/496 is 1/189968.