GCF of 457/267, 914/455
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 457/267, 914/455 i.e 457/121485 easily. The following is the detailed procedure to determine the greatest common factor of fractions 457/267, 914/455.
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 457/267,914/455?
Given fractions are 457/267,914/455
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 457/267,914/455, numerators are 457,914
Denominators are 267,455
The GCF of 457,914 is 457 .
LCM of 267,455 is 121485.
The greatest common factor of 457/267,914/455 = [GCF of 457,914]/[LCM of 267,455]= 457/121485
Therefore, the GCF of 457/267,914/455 is 457/121485.
To find the highest common factor of 457,914, we have to find the factors of both numbers and list the highest common factor.
The factors of 457 are 1, 457
The factors of 914 are 1, 2, 457, 914
The HCF of 457,914 is 457.
Lets's calculate GCF of 457,914
| 457 | 457, 914 |
| 1, 2 |
∴ So the GCF of the given numbers is 457 = 457
Greatest Common Factor of 457,914 By Matching Biggest Common Factor Method
Now, list down the factors of 457
:1,457
Now, list down the factors of 914
:1,2,457,914
Greatest Common Factor
We found the factors 457,914 . The biggest common factor number is the GCF number.
So the greatest common factor 457,914 is 457.
Lets's calculate LCM of 267,455
Given numbers has no common factors except 1. So, there LCM is their product i.e 121485
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 457/121485
Therefore, the GCF of Fractions 457/267,914/455 is 457/121485
Least Common Multiple of 267,455 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 267,455 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,455) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,455) x common factors =1 x 1 = 1
LCM(267,455) = ( 267 × 455 ) / 1
LCM(267,455) = 121485 / 1
LCM(267,455) = 121485
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FAQs on GCF of Fractions of 457/267, 914/455
1. What is the HCF of 457,914?
The HCF of 457,914 is 457
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 457/267, 914/455?
Answer: GCF of Numerators as per given numbers 457/267, 914/455 is
GCF of Numerators i.e. for 457,914 is 457
LCM of denominators i.e. for 267,455 is 121485.
Thus, GCF of Fractions is 457/121485.Finally, GCF of Fractions for 457/267, 914/455 is 457/121485.