GCF of 8029/478, 7850/9412
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8029/478, 7850/9412 i.e 1/2249468 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8029/478, 7850/9412.
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 8029/478,7850/9412?
Given fractions are 8029/478,7850/9412
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 8029/478,7850/9412, numerators are 8029,7850
Denominators are 478,9412
The GCF of 8029,7850 is 1 .
LCM of 478,9412 is 2249468.
The greatest common factor of 8029/478,7850/9412 = [GCF of 8029,7850]/[LCM of 478,9412]= 1/2249468
Therefore, the GCF of 8029/478,7850/9412 is 1/2249468.
To find the highest common factor of 8029,7850, we have to find the factors of both numbers and list the highest common factor.
The factors of 8029 are 1, 7, 31, 37, 217, 259, 1147, 8029
The factors of 7850 are 1, 2, 5, 10, 25, 50, 157, 314, 785, 1570, 3925, 7850
The HCF of 8029,7850 is 1.
Lets's calculate GCF of 8029,7850
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8029,7850 By Matching Biggest Common Factor Method
Now, list down the factors of 8029
:1,7,31,37,217,259,1147,8029
Now, list down the factors of 7850
:1,2,5,10,25,50,157,314,785,1570,3925,7850
Greatest Common Factor
We found the factors 8029,7850 . The biggest common factor number is the GCF number.
So the greatest common factor 8029,7850 is 1.
Lets's calculate LCM of 478,9412
| 2 | 478, 9412 |
| 239, 4706 |
∴ So the LCM of the given numbers is 2 x 239 x 4706 = 2249468
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2249468
Therefore, the GCF of Fractions 8029/478,7850/9412 is 1/2249468
Least Common Multiple of 478,9412 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 478,9412 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,9412) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(478,9412) x common factors =2 x 1 = 2
LCM(478,9412) = ( 478 × 9412 ) / 2
LCM(478,9412) = 4498936 / 2
LCM(478,9412) = 2249468
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 8029/478, 7850/9412
1. What is the HCF of 8029,7850?
The HCF of 8029,7850 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 8029/478, 7850/9412?
Answer: GCF of Numerators as per given numbers 8029/478, 7850/9412 is
GCF of Numerators i.e. for 8029,7850 is 1
LCM of denominators i.e. for 478,9412 is 2249468.
Thus, GCF of Fractions is 1/2249468.Finally, GCF of Fractions for 8029/478, 7850/9412 is 1/2249468.