GCF of 874/415, 1433/629
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 874/415, 1433/629 i.e 1/261035 easily. The following is the detailed procedure to determine the greatest common factor of fractions 874/415, 1433/629.
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 874/415,1433/629?
Given fractions are 874/415,1433/629
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 874/415,1433/629, numerators are 874,1433
Denominators are 415,629
The GCF of 874,1433 is 1 .
LCM of 415,629 is 261035.
The greatest common factor of 874/415,1433/629 = [GCF of 874,1433]/[LCM of 415,629]= 1/261035
Therefore, the GCF of 874/415,1433/629 is 1/261035.
To find the highest common factor of 874,1433, we have to find the factors of both numbers and list the highest common factor.
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The factors of 1433 are 1, 1433
The HCF of 874,1433 is 1.
Lets's calculate GCF of 874,1433
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 874,1433 By Matching Biggest Common Factor Method
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Now, list down the factors of 1433
:1,1433
Greatest Common Factor
We found the factors 874,1433 . The biggest common factor number is the GCF number.
So the greatest common factor 874,1433 is 1.
Lets's calculate LCM of 415,629
Given numbers has no common factors except 1. So, there LCM is their product i.e 261035
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/261035
Therefore, the GCF of Fractions 874/415,1433/629 is 1/261035
Least Common Multiple of 415,629 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 415,629 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,629) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,629) x common factors =1 x 1 = 1
LCM(415,629) = ( 415 × 629 ) / 1
LCM(415,629) = 261035 / 1
LCM(415,629) = 261035
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FAQs on GCF of Fractions of 874/415, 1433/629
1. What is the HCF of 874,1433?
The HCF of 874,1433 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 874/415, 1433/629?
Answer: GCF of Numerators as per given numbers 874/415, 1433/629 is
GCF of Numerators i.e. for 874,1433 is 1
LCM of denominators i.e. for 415,629 is 261035.
Thus, GCF of Fractions is 1/261035.Finally, GCF of Fractions for 874/415, 1433/629 is 1/261035.