GCF of 30/921, 72/418, 745/619
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 30/921, 72/418, 745/619 i.e 1/238301382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/921, 72/418, 745/619.
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 30/921,72/418,745/619?
Given fractions are 30/921,72/418,745/619
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 30/921,72/418,745/619, numerators are 30,72,745
Denominators are 921,418,619
The GCF of 30,72,745 is 1 .
LCM of 921,418,619 is 238301382.
The greatest common factor of 30/921,72/418,745/619 = [GCF of 30,72,745]/[LCM of 921,418,619]= 1/238301382
Therefore, the GCF of 30/921,72/418,745/619 is 1/238301382.
To find the highest common factor of 30,72,745, we have to find the factors of both numbers and list the highest common factor.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30
The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
The factors of 745 are 1, 5, 149, 745
The HCF of 30,72,745 is 1.
Lets's calculate GCF of 30,72,745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 30,72,745 By Matching Biggest Common Factor Method
Now, list down the factors of 30
:1,2,3,5,6,10,15,30
Now, list down the factors of 72
:1,2,3,4,6,8,9,12,18,24,36,72
Now, list down the factors of 745
:1,5,149,745
Greatest Common Factor
We found the factors 30,72,745 . The biggest common factor number is the GCF number.
So the greatest common factor 30,72,745 is 1.
Lets's calculate LCM of 921,418,619
Given numbers has no common factors except 1. So, there LCM is their product i.e 238301382
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/238301382
Therefore, the GCF of Fractions 30/921,72/418,745/619 is 1/238301382
Least Common Multiple of 921,418,619 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 921,418,619 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,418,619) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,418,619) x common factors =1 x 1 = 1
LCM(921,418,619) = ( 921 × 418 × 619 ) / 1
LCM(921,418,619) = 238301382 / 1
LCM(921,418,619) = 238301382
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 30/921, 72/418, 745/619
1. What is the HCF of 30,72,745?
The HCF of 30,72,745 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 30/921, 72/418, 745/619?
Answer: GCF of Numerators as per given numbers 30/921, 72/418, 745/619 is
GCF of Numerators i.e. for 30,72,745 is 1
LCM of denominators i.e. for 921,418,619 is 238301382.
Thus, GCF of Fractions is 1/238301382.Finally, GCF of Fractions for 30/921, 72/418, 745/619 is 1/238301382.