GCF of 7406/810, 3907/351
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7406/810, 3907/351 i.e 1/10530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7406/810, 3907/351.
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 7406/810,3907/351?
Given fractions are 7406/810,3907/351
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 7406/810,3907/351, numerators are 7406,3907
Denominators are 810,351
The GCF of 7406,3907 is 1 .
LCM of 810,351 is 10530.
The greatest common factor of 7406/810,3907/351 = [GCF of 7406,3907]/[LCM of 810,351]= 1/10530
Therefore, the GCF of 7406/810,3907/351 is 1/10530.
To find the highest common factor of 7406,3907, we have to find the factors of both numbers and list the highest common factor.
The factors of 7406 are 1, 2, 7, 14, 23, 46, 161, 322, 529, 1058, 3703, 7406
The factors of 3907 are 1, 3907
The HCF of 7406,3907 is 1.
Lets's calculate GCF of 7406,3907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7406,3907 By Matching Biggest Common Factor Method
Now, list down the factors of 7406
:1,2,7,14,23,46,161,322,529,1058,3703,7406
Now, list down the factors of 3907
:1,3907
Greatest Common Factor
We found the factors 7406,3907 . The biggest common factor number is the GCF number.
So the greatest common factor 7406,3907 is 1.
Lets's calculate LCM of 810,351
| 3 | 810, 351 |
| 3 | 270, 117 |
| 3 | 90, 39 |
| 30, 13 |
∴ So the LCM of the given numbers is 3 x 3 x 3 x 30 x 13 = 10530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10530
Therefore, the GCF of Fractions 7406/810,3907/351 is 1/10530
Least Common Multiple of 810,351 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 810,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(810,351) = 27
common factors(in case of two or more numbers have common factors) = 1
GCF(810,351) x common factors =27 x 1 = 27
LCM(810,351) = ( 810 × 351 ) / 27
LCM(810,351) = 284310 / 27
LCM(810,351) = 10530
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FAQs on GCF of Fractions of 7406/810, 3907/351
1. What is the HCF of 7406,3907?
The HCF of 7406,3907 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 7406/810, 3907/351?
Answer: GCF of Numerators as per given numbers 7406/810, 3907/351 is
GCF of Numerators i.e. for 7406,3907 is 1
LCM of denominators i.e. for 810,351 is 10530.
Thus, GCF of Fractions is 1/10530.Finally, GCF of Fractions for 7406/810, 3907/351 is 1/10530.