GCF of 48/183, 619/764, 408/881
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 48/183, 619/764, 408/881 i.e 1/123174372 easily. The following is the detailed procedure to determine the greatest common factor of fractions 48/183, 619/764, 408/881.
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 48/183,619/764,408/881?
Given fractions are 48/183,619/764,408/881
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 48/183,619/764,408/881, numerators are 48,619,408
Denominators are 183,764,881
The GCF of 48,619,408 is 1 .
LCM of 183,764,881 is 123174372.
The greatest common factor of 48/183,619/764,408/881 = [GCF of 48,619,408]/[LCM of 183,764,881]= 1/123174372
Therefore, the GCF of 48/183,619/764,408/881 is 1/123174372.
To find the highest common factor of 48,619,408, we have to find the factors of both numbers and list the highest common factor.
The factors of 48 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
The factors of 619 are 1, 619
The factors of 408 are 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
The HCF of 48,619,408 is 1.
Lets's calculate GCF of 48,619,408
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 48,619,408 By Matching Biggest Common Factor Method
Now, list down the factors of 48
:1,2,3,4,6,8,12,16,24,48
Now, list down the factors of 619
:1,619
Now, list down the factors of 408
:1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408
Greatest Common Factor
We found the factors 48,619,408 . The biggest common factor number is the GCF number.
So the greatest common factor 48,619,408 is 1.
Lets's calculate LCM of 183,764,881
Given numbers has no common factors except 1. So, there LCM is their product i.e 123174372
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/123174372
Therefore, the GCF of Fractions 48/183,619/764,408/881 is 1/123174372
Least Common Multiple of 183,764,881 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 183,764,881 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(183,764,881) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(183,764,881) x common factors =1 x 1 = 1
LCM(183,764,881) = ( 183 × 764 × 881 ) / 1
LCM(183,764,881) = 123174372 / 1
LCM(183,764,881) = 123174372
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 48/183, 619/764, 408/881
1. What is the HCF of 48,619,408?
The HCF of 48,619,408 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 48/183, 619/764, 408/881?
Answer: GCF of Numerators as per given numbers 48/183, 619/764, 408/881 is
GCF of Numerators i.e. for 48,619,408 is 1
LCM of denominators i.e. for 183,764,881 is 123174372.
Thus, GCF of Fractions is 1/123174372.Finally, GCF of Fractions for 48/183, 619/764, 408/881 is 1/123174372.