GCF of 3419/789, 2051/1542
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3419/789, 2051/1542 i.e 1/405546 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3419/789, 2051/1542.
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 3419/789,2051/1542?
Given fractions are 3419/789,2051/1542
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 3419/789,2051/1542, numerators are 3419,2051
Denominators are 789,1542
The GCF of 3419,2051 is 1 .
LCM of 789,1542 is 405546.
The greatest common factor of 3419/789,2051/1542 = [GCF of 3419,2051]/[LCM of 789,1542]= 1/405546
Therefore, the GCF of 3419/789,2051/1542 is 1/405546.
To find the highest common factor of 3419,2051, we have to find the factors of both numbers and list the highest common factor.
The factors of 3419 are 1, 13, 263, 3419
The factors of 2051 are 1, 7, 293, 2051
The HCF of 3419,2051 is 1.
Lets's calculate GCF of 3419,2051
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3419,2051 By Matching Biggest Common Factor Method
Now, list down the factors of 3419
:1,13,263,3419
Now, list down the factors of 2051
:1,7,293,2051
Greatest Common Factor
We found the factors 3419,2051 . The biggest common factor number is the GCF number.
So the greatest common factor 3419,2051 is 1.
Lets's calculate LCM of 789,1542
| 3 | 789, 1542 |
| 263, 514 |
∴ So the LCM of the given numbers is 3 x 263 x 514 = 405546
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/405546
Therefore, the GCF of Fractions 3419/789,2051/1542 is 1/405546
Least Common Multiple of 789,1542 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 789,1542 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(789,1542) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(789,1542) x common factors =3 x 1 = 3
LCM(789,1542) = ( 789 × 1542 ) / 3
LCM(789,1542) = 1216638 / 3
LCM(789,1542) = 405546
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FAQs on GCF of Fractions of 3419/789, 2051/1542
1. What is the HCF of 3419,2051?
The HCF of 3419,2051 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 3419/789, 2051/1542?
Answer: GCF of Numerators as per given numbers 3419/789, 2051/1542 is
GCF of Numerators i.e. for 3419,2051 is 1
LCM of denominators i.e. for 789,1542 is 405546.
Thus, GCF of Fractions is 1/405546.Finally, GCF of Fractions for 3419/789, 2051/1542 is 1/405546.