GCF of 1919/724, 1371/7384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1919/724, 1371/7384 i.e 1/1336504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1919/724, 1371/7384.
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 1919/724,1371/7384?
Given fractions are 1919/724,1371/7384
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 1919/724,1371/7384, numerators are 1919,1371
Denominators are 724,7384
The GCF of 1919,1371 is 1 .
LCM of 724,7384 is 1336504.
The greatest common factor of 1919/724,1371/7384 = [GCF of 1919,1371]/[LCM of 724,7384]= 1/1336504
Therefore, the GCF of 1919/724,1371/7384 is 1/1336504.
To find the highest common factor of 1919,1371, we have to find the factors of both numbers and list the highest common factor.
The factors of 1919 are 1, 19, 101, 1919
The factors of 1371 are 1, 3, 457, 1371
The HCF of 1919,1371 is 1.
Lets's calculate GCF of 1919,1371
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1919,1371 By Matching Biggest Common Factor Method
Now, list down the factors of 1919
:1,19,101,1919
Now, list down the factors of 1371
:1,3,457,1371
Greatest Common Factor
We found the factors 1919,1371 . The biggest common factor number is the GCF number.
So the greatest common factor 1919,1371 is 1.
Lets's calculate LCM of 724,7384
| 2 | 724, 7384 |
| 2 | 362, 3692 |
| 181, 1846 |
∴ So the LCM of the given numbers is 2 x 2 x 181 x 1846 = 1336504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1336504
Therefore, the GCF of Fractions 1919/724,1371/7384 is 1/1336504
Least Common Multiple of 724,7384 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 724,7384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(724,7384) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(724,7384) x common factors =4 x 1 = 4
LCM(724,7384) = ( 724 × 7384 ) / 4
LCM(724,7384) = 5346016 / 4
LCM(724,7384) = 1336504
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FAQs on GCF of Fractions of 1919/724, 1371/7384
1. What is the HCF of 1919,1371?
The HCF of 1919,1371 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 1919/724, 1371/7384?
Answer: GCF of Numerators as per given numbers 1919/724, 1371/7384 is
GCF of Numerators i.e. for 1919,1371 is 1
LCM of denominators i.e. for 724,7384 is 1336504.
Thus, GCF of Fractions is 1/1336504.Finally, GCF of Fractions for 1919/724, 1371/7384 is 1/1336504.