GCF of 4061/703, 1457/465
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4061/703, 1457/465 i.e 31/326895 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4061/703, 1457/465.
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 4061/703,1457/465?
Given fractions are 4061/703,1457/465
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 4061/703,1457/465, numerators are 4061,1457
Denominators are 703,465
The GCF of 4061,1457 is 31 .
LCM of 703,465 is 326895.
The greatest common factor of 4061/703,1457/465 = [GCF of 4061,1457]/[LCM of 703,465]= 31/326895
Therefore, the GCF of 4061/703,1457/465 is 31/326895.
To find the highest common factor of 4061,1457, we have to find the factors of both numbers and list the highest common factor.
The factors of 4061 are 1, 31, 131, 4061
The factors of 1457 are 1, 31, 47, 1457
The HCF of 4061,1457 is 31.
Lets's calculate GCF of 4061,1457
| 31 | 4061, 1457 |
| 131, 47 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 4061,1457 By Matching Biggest Common Factor Method
Now, list down the factors of 4061
:1,31,131,4061
Now, list down the factors of 1457
:1,31,47,1457
Greatest Common Factor
We found the factors 4061,1457 . The biggest common factor number is the GCF number.
So the greatest common factor 4061,1457 is 31.
Lets's calculate LCM of 703,465
Given numbers has no common factors except 1. So, there LCM is their product i.e 326895
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/326895
Therefore, the GCF of Fractions 4061/703,1457/465 is 31/326895
Least Common Multiple of 703,465 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 703,465 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(703,465) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(703,465) x common factors =1 x 1 = 1
LCM(703,465) = ( 703 × 465 ) / 1
LCM(703,465) = 326895 / 1
LCM(703,465) = 326895
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FAQs on GCF of Fractions of 4061/703, 1457/465
1. What is the HCF of 4061,1457?
The HCF of 4061,1457 is 31
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 4061/703, 1457/465?
Answer: GCF of Numerators as per given numbers 4061/703, 1457/465 is
GCF of Numerators i.e. for 4061,1457 is 31
LCM of denominators i.e. for 703,465 is 326895.
Thus, GCF of Fractions is 31/326895.Finally, GCF of Fractions for 4061/703, 1457/465 is 31/326895.