GCF of 3854/905, 7462/6756
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3854/905, 7462/6756 i.e 82/6114180 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3854/905, 7462/6756.
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 3854/905,7462/6756?
Given fractions are 3854/905,7462/6756
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 3854/905,7462/6756, numerators are 3854,7462
Denominators are 905,6756
The GCF of 3854,7462 is 82 .
LCM of 905,6756 is 6114180.
The greatest common factor of 3854/905,7462/6756 = [GCF of 3854,7462]/[LCM of 905,6756]= 82/6114180
Therefore, the GCF of 3854/905,7462/6756 is 82/6114180.
To find the highest common factor of 3854,7462, we have to find the factors of both numbers and list the highest common factor.
The factors of 3854 are 1, 2, 41, 47, 82, 94, 1927, 3854
The factors of 7462 are 1, 2, 7, 13, 14, 26, 41, 82, 91, 182, 287, 533, 574, 1066, 3731, 7462
The HCF of 3854,7462 is 82.
Lets's calculate GCF of 3854,7462
| 2 | 3854, 7462 |
| 41 | 1927, 3731 |
| 47, 91 |
∴ So the GCF of the given numbers is 2 x 41 = 82
Greatest Common Factor of 3854,7462 By Matching Biggest Common Factor Method
Now, list down the factors of 3854
:1,2,41,47,82,94,1927,3854
Now, list down the factors of 7462
:1,2,7,13,14,26,41,82,91,182,287,533,574,1066,3731,7462
Greatest Common Factor
We found the factors 3854,7462 . The biggest common factor number is the GCF number.
So the greatest common factor 3854,7462 is 82.
Lets's calculate LCM of 905,6756
Given numbers has no common factors except 1. So, there LCM is their product i.e 6114180
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 82/6114180
Therefore, the GCF of Fractions 3854/905,7462/6756 is 82/6114180
Least Common Multiple of 905,6756 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 905,6756 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(905,6756) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(905,6756) x common factors =1 x 1 = 1
LCM(905,6756) = ( 905 × 6756 ) / 1
LCM(905,6756) = 6114180 / 1
LCM(905,6756) = 6114180
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FAQs on GCF of Fractions of 3854/905, 7462/6756
1. What is the HCF of 3854,7462?
The HCF of 3854,7462 is 82
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 3854/905, 7462/6756?
Answer: GCF of Numerators as per given numbers 3854/905, 7462/6756 is
GCF of Numerators i.e. for 3854,7462 is 82
LCM of denominators i.e. for 905,6756 is 6114180.
Thus, GCF of Fractions is 82/6114180.Finally, GCF of Fractions for 3854/905, 7462/6756 is 82/6114180.