GCF of 421/914, 4573/858
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 421/914, 4573/858 i.e 1/392106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 421/914, 4573/858.
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 421/914,4573/858?
Given fractions are 421/914,4573/858
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 421/914,4573/858, numerators are 421,4573
Denominators are 914,858
The GCF of 421,4573 is 1 .
LCM of 914,858 is 392106.
The greatest common factor of 421/914,4573/858 = [GCF of 421,4573]/[LCM of 914,858]= 1/392106
Therefore, the GCF of 421/914,4573/858 is 1/392106.
To find the highest common factor of 421,4573, we have to find the factors of both numbers and list the highest common factor.
The factors of 421 are 1, 421
The factors of 4573 are 1, 17, 269, 4573
The HCF of 421,4573 is 1.
Lets's calculate GCF of 421,4573
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 421,4573 By Matching Biggest Common Factor Method
Now, list down the factors of 421
:1,421
Now, list down the factors of 4573
:1,17,269,4573
Greatest Common Factor
We found the factors 421,4573 . The biggest common factor number is the GCF number.
So the greatest common factor 421,4573 is 1.
Lets's calculate LCM of 914,858
| 2 | 914, 858 |
| 457, 429 |
∴ So the LCM of the given numbers is 2 x 457 x 429 = 392106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/392106
Therefore, the GCF of Fractions 421/914,4573/858 is 1/392106
Least Common Multiple of 914,858 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 914,858 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(914,858) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(914,858) x common factors =2 x 1 = 2
LCM(914,858) = ( 914 × 858 ) / 2
LCM(914,858) = 784212 / 2
LCM(914,858) = 392106
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FAQs on GCF of Fractions of 421/914, 4573/858
1. What is the HCF of 421,4573?
The HCF of 421,4573 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 421/914, 4573/858?
Answer: GCF of Numerators as per given numbers 421/914, 4573/858 is
GCF of Numerators i.e. for 421,4573 is 1
LCM of denominators i.e. for 914,858 is 392106.
Thus, GCF of Fractions is 1/392106.Finally, GCF of Fractions for 421/914, 4573/858 is 1/392106.