GCF of 2419/945, 7725/637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2419/945, 7725/637 i.e 1/85995 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2419/945, 7725/637.
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 2419/945,7725/637?
Given fractions are 2419/945,7725/637
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 2419/945,7725/637, numerators are 2419,7725
Denominators are 945,637
The GCF of 2419,7725 is 1 .
LCM of 945,637 is 85995.
The greatest common factor of 2419/945,7725/637 = [GCF of 2419,7725]/[LCM of 945,637]= 1/85995
Therefore, the GCF of 2419/945,7725/637 is 1/85995.
To find the highest common factor of 2419,7725, we have to find the factors of both numbers and list the highest common factor.
The factors of 2419 are 1, 41, 59, 2419
The factors of 7725 are 1, 3, 5, 15, 25, 75, 103, 309, 515, 1545, 2575, 7725
The HCF of 2419,7725 is 1.
Lets's calculate GCF of 2419,7725
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2419,7725 By Matching Biggest Common Factor Method
Now, list down the factors of 2419
:1,41,59,2419
Now, list down the factors of 7725
:1,3,5,15,25,75,103,309,515,1545,2575,7725
Greatest Common Factor
We found the factors 2419,7725 . The biggest common factor number is the GCF number.
So the greatest common factor 2419,7725 is 1.
Lets's calculate LCM of 945,637
| 7 | 945, 637 |
| 135, 91 |
∴ So the LCM of the given numbers is 7 x 135 x 91 = 85995
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85995
Therefore, the GCF of Fractions 2419/945,7725/637 is 1/85995
Least Common Multiple of 945,637 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 945,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,637) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(945,637) x common factors =7 x 1 = 7
LCM(945,637) = ( 945 × 637 ) / 7
LCM(945,637) = 601965 / 7
LCM(945,637) = 85995
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FAQs on GCF of Fractions of 2419/945, 7725/637
1. What is the HCF of 2419,7725?
The HCF of 2419,7725 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 2419/945, 7725/637?
Answer: GCF of Numerators as per given numbers 2419/945, 7725/637 is
GCF of Numerators i.e. for 2419,7725 is 1
LCM of denominators i.e. for 945,637 is 85995.
Thus, GCF of Fractions is 1/85995.Finally, GCF of Fractions for 2419/945, 7725/637 is 1/85995.