GCF of 8257/416, 7494/8826
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8257/416, 7494/8826 i.e 1/1835808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8257/416, 7494/8826.
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 8257/416,7494/8826?
Given fractions are 8257/416,7494/8826
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 8257/416,7494/8826, numerators are 8257,7494
Denominators are 416,8826
The GCF of 8257,7494 is 1 .
LCM of 416,8826 is 1835808.
The greatest common factor of 8257/416,7494/8826 = [GCF of 8257,7494]/[LCM of 416,8826]= 1/1835808
Therefore, the GCF of 8257/416,7494/8826 is 1/1835808.
To find the highest common factor of 8257,7494, we have to find the factors of both numbers and list the highest common factor.
The factors of 8257 are 1, 23, 359, 8257
The factors of 7494 are 1, 2, 3, 6, 1249, 2498, 3747, 7494
The HCF of 8257,7494 is 1.
Lets's calculate GCF of 8257,7494
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8257,7494 By Matching Biggest Common Factor Method
Now, list down the factors of 8257
:1,23,359,8257
Now, list down the factors of 7494
:1,2,3,6,1249,2498,3747,7494
Greatest Common Factor
We found the factors 8257,7494 . The biggest common factor number is the GCF number.
So the greatest common factor 8257,7494 is 1.
Lets's calculate LCM of 416,8826
| 2 | 416, 8826 |
| 208, 4413 |
∴ So the LCM of the given numbers is 2 x 208 x 4413 = 1835808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1835808
Therefore, the GCF of Fractions 8257/416,7494/8826 is 1/1835808
Least Common Multiple of 416,8826 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 416,8826 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,8826) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(416,8826) x common factors =2 x 1 = 2
LCM(416,8826) = ( 416 × 8826 ) / 2
LCM(416,8826) = 3671616 / 2
LCM(416,8826) = 1835808
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FAQs on GCF of Fractions of 8257/416, 7494/8826
1. What is the HCF of 8257,7494?
The HCF of 8257,7494 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 8257/416, 7494/8826?
Answer: GCF of Numerators as per given numbers 8257/416, 7494/8826 is
GCF of Numerators i.e. for 8257,7494 is 1
LCM of denominators i.e. for 416,8826 is 1835808.
Thus, GCF of Fractions is 1/1835808.Finally, GCF of Fractions for 8257/416, 7494/8826 is 1/1835808.