GCF of 7905/142, 3826/6390
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7905/142, 3826/6390 i.e 1/6390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7905/142, 3826/6390.
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 7905/142,3826/6390?
Given fractions are 7905/142,3826/6390
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 7905/142,3826/6390, numerators are 7905,3826
Denominators are 142,6390
The GCF of 7905,3826 is 1 .
LCM of 142,6390 is 6390.
The greatest common factor of 7905/142,3826/6390 = [GCF of 7905,3826]/[LCM of 142,6390]= 1/6390
Therefore, the GCF of 7905/142,3826/6390 is 1/6390.
To find the highest common factor of 7905,3826, we have to find the factors of both numbers and list the highest common factor.
The factors of 7905 are 1, 3, 5, 15, 17, 31, 51, 85, 93, 155, 255, 465, 527, 1581, 2635, 7905
The factors of 3826 are 1, 2, 1913, 3826
The HCF of 7905,3826 is 1.
Lets's calculate GCF of 7905,3826
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7905,3826 By Matching Biggest Common Factor Method
Now, list down the factors of 7905
:1,3,5,15,17,31,51,85,93,155,255,465,527,1581,2635,7905
Now, list down the factors of 3826
:1,2,1913,3826
Greatest Common Factor
We found the factors 7905,3826 . The biggest common factor number is the GCF number.
So the greatest common factor 7905,3826 is 1.
Lets's calculate LCM of 142,6390
| 2 | 142, 6390 |
| 71 | 71, 3195 |
| 1, 45 |
∴ So the LCM of the given numbers is 2 x 71 x 1 x 45 = 6390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6390
Therefore, the GCF of Fractions 7905/142,3826/6390 is 1/6390
Least Common Multiple of 142,6390 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 142,6390 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(142,6390) = 142
common factors(in case of two or more numbers have common factors) = 1
GCF(142,6390) x common factors =142 x 1 = 142
LCM(142,6390) = ( 142 × 6390 ) / 142
LCM(142,6390) = 907380 / 142
LCM(142,6390) = 6390
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FAQs on GCF of Fractions of 7905/142, 3826/6390
1. What is the HCF of 7905,3826?
The HCF of 7905,3826 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 7905/142, 3826/6390?
Answer: GCF of Numerators as per given numbers 7905/142, 3826/6390 is
GCF of Numerators i.e. for 7905,3826 is 1
LCM of denominators i.e. for 142,6390 is 6390.
Thus, GCF of Fractions is 1/6390.Finally, GCF of Fractions for 7905/142, 3826/6390 is 1/6390.