GCF of 8428/788, 3415/4146
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8428/788, 3415/4146 i.e 1/1633524 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8428/788, 3415/4146.
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 8428/788,3415/4146?
Given fractions are 8428/788,3415/4146
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 8428/788,3415/4146, numerators are 8428,3415
Denominators are 788,4146
The GCF of 8428,3415 is 1 .
LCM of 788,4146 is 1633524.
The greatest common factor of 8428/788,3415/4146 = [GCF of 8428,3415]/[LCM of 788,4146]= 1/1633524
Therefore, the GCF of 8428/788,3415/4146 is 1/1633524.
To find the highest common factor of 8428,3415, we have to find the factors of both numbers and list the highest common factor.
The factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428
The factors of 3415 are 1, 5, 683, 3415
The HCF of 8428,3415 is 1.
Lets's calculate GCF of 8428,3415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8428,3415 By Matching Biggest Common Factor Method
Now, list down the factors of 8428
:1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428
Now, list down the factors of 3415
:1,5,683,3415
Greatest Common Factor
We found the factors 8428,3415 . The biggest common factor number is the GCF number.
So the greatest common factor 8428,3415 is 1.
Lets's calculate LCM of 788,4146
| 2 | 788, 4146 |
| 394, 2073 |
∴ So the LCM of the given numbers is 2 x 394 x 2073 = 1633524
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1633524
Therefore, the GCF of Fractions 8428/788,3415/4146 is 1/1633524
Least Common Multiple of 788,4146 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 788,4146 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(788,4146) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(788,4146) x common factors =2 x 1 = 2
LCM(788,4146) = ( 788 × 4146 ) / 2
LCM(788,4146) = 3267048 / 2
LCM(788,4146) = 1633524
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FAQs on GCF of Fractions of 8428/788, 3415/4146
1. What is the HCF of 8428,3415?
The HCF of 8428,3415 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 8428/788, 3415/4146?
Answer: GCF of Numerators as per given numbers 8428/788, 3415/4146 is
GCF of Numerators i.e. for 8428,3415 is 1
LCM of denominators i.e. for 788,4146 is 1633524.
Thus, GCF of Fractions is 1/1633524.Finally, GCF of Fractions for 8428/788, 3415/4146 is 1/1633524.