GCF of 898/457, 412/973
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 898/457, 412/973 i.e 2/444661 easily. The following is the detailed procedure to determine the greatest common factor of fractions 898/457, 412/973.
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 898/457,412/973?
Given fractions are 898/457,412/973
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 898/457,412/973, numerators are 898,412
Denominators are 457,973
The GCF of 898,412 is 2 .
LCM of 457,973 is 444661.
The greatest common factor of 898/457,412/973 = [GCF of 898,412]/[LCM of 457,973]= 2/444661
Therefore, the GCF of 898/457,412/973 is 2/444661.
To find the highest common factor of 898,412, we have to find the factors of both numbers and list the highest common factor.
The factors of 898 are 1, 2, 449, 898
The factors of 412 are 1, 2, 4, 103, 206, 412
The HCF of 898,412 is 2.
Lets's calculate GCF of 898,412
| 2 | 898, 412 |
| 449, 206 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 898,412 By Matching Biggest Common Factor Method
Now, list down the factors of 898
:1,2,449,898
Now, list down the factors of 412
:1,2,4,103,206,412
Greatest Common Factor
We found the factors 898,412 . The biggest common factor number is the GCF number.
So the greatest common factor 898,412 is 2.
Lets's calculate LCM of 457,973
Given numbers has no common factors except 1. So, there LCM is their product i.e 444661
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/444661
Therefore, the GCF of Fractions 898/457,412/973 is 2/444661
Least Common Multiple of 457,973 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 457,973 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(457,973) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(457,973) x common factors =1 x 1 = 1
LCM(457,973) = ( 457 × 973 ) / 1
LCM(457,973) = 444661 / 1
LCM(457,973) = 444661
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FAQs on GCF of Fractions of 898/457, 412/973
1. What is the HCF of 898,412?
The HCF of 898,412 is 2
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 898/457, 412/973?
Answer: GCF of Numerators as per given numbers 898/457, 412/973 is
GCF of Numerators i.e. for 898,412 is 2
LCM of denominators i.e. for 457,973 is 444661.
Thus, GCF of Fractions is 2/444661.Finally, GCF of Fractions for 898/457, 412/973 is 2/444661.