GCF of 2381/774, 1571/7250
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2381/774, 1571/7250 i.e 1/2805750 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2381/774, 1571/7250.
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 2381/774,1571/7250?
Given fractions are 2381/774,1571/7250
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 2381/774,1571/7250, numerators are 2381,1571
Denominators are 774,7250
The GCF of 2381,1571 is 1 .
LCM of 774,7250 is 2805750.
The greatest common factor of 2381/774,1571/7250 = [GCF of 2381,1571]/[LCM of 774,7250]= 1/2805750
Therefore, the GCF of 2381/774,1571/7250 is 1/2805750.
To find the highest common factor of 2381,1571, we have to find the factors of both numbers and list the highest common factor.
The factors of 2381 are 1, 2381
The factors of 1571 are 1, 1571
The HCF of 2381,1571 is 1.
Lets's calculate GCF of 2381,1571
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2381,1571 By Matching Biggest Common Factor Method
Now, list down the factors of 2381
:1,2381
Now, list down the factors of 1571
:1,1571
Greatest Common Factor
We found the factors 2381,1571 . The biggest common factor number is the GCF number.
So the greatest common factor 2381,1571 is 1.
Lets's calculate LCM of 774,7250
| 2 | 774, 7250 |
| 387, 3625 |
∴ So the LCM of the given numbers is 2 x 387 x 3625 = 2805750
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2805750
Therefore, the GCF of Fractions 2381/774,1571/7250 is 1/2805750
Least Common Multiple of 774,7250 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 774,7250 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(774,7250) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(774,7250) x common factors =2 x 1 = 2
LCM(774,7250) = ( 774 × 7250 ) / 2
LCM(774,7250) = 5611500 / 2
LCM(774,7250) = 2805750
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FAQs on GCF of Fractions of 2381/774, 1571/7250
1. What is the HCF of 2381,1571?
The HCF of 2381,1571 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 2381/774, 1571/7250?
Answer: GCF of Numerators as per given numbers 2381/774, 1571/7250 is
GCF of Numerators i.e. for 2381,1571 is 1
LCM of denominators i.e. for 774,7250 is 2805750.
Thus, GCF of Fractions is 1/2805750.Finally, GCF of Fractions for 2381/774, 1571/7250 is 1/2805750.