GCF of 412/119, 515/637
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 412/119, 515/637 i.e 103/10829 easily. The following is the detailed procedure to determine the greatest common factor of fractions 412/119, 515/637.
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 412/119,515/637?
Given fractions are 412/119,515/637
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 412/119,515/637, numerators are 412,515
Denominators are 119,637
The GCF of 412,515 is 103 .
LCM of 119,637 is 10829.
The greatest common factor of 412/119,515/637 = [GCF of 412,515]/[LCM of 119,637]= 103/10829
Therefore, the GCF of 412/119,515/637 is 103/10829.
To find the highest common factor of 412,515, we have to find the factors of both numbers and list the highest common factor.
The factors of 412 are 1, 2, 4, 103, 206, 412
The factors of 515 are 1, 5, 103, 515
The HCF of 412,515 is 103.
Lets's calculate GCF of 412,515
| 103 | 412, 515 |
| 4, 5 |
∴ So the GCF of the given numbers is 103 = 103
Greatest Common Factor of 412,515 By Matching Biggest Common Factor Method
Now, list down the factors of 412
:1,2,4,103,206,412
Now, list down the factors of 515
:1,5,103,515
Greatest Common Factor
We found the factors 412,515 . The biggest common factor number is the GCF number.
So the greatest common factor 412,515 is 103.
Lets's calculate LCM of 119,637
| 7 | 119, 637 |
| 17, 91 |
∴ So the LCM of the given numbers is 7 x 17 x 91 = 10829
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 103/10829
Therefore, the GCF of Fractions 412/119,515/637 is 103/10829
Least Common Multiple of 119,637 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 119,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,637) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,637) x common factors =7 x 1 = 7
LCM(119,637) = ( 119 × 637 ) / 7
LCM(119,637) = 75803 / 7
LCM(119,637) = 10829
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FAQs on GCF of Fractions of 412/119, 515/637
1. What is the HCF of 412,515?
The HCF of 412,515 is 103
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 412/119, 515/637?
Answer: GCF of Numerators as per given numbers 412/119, 515/637 is
GCF of Numerators i.e. for 412,515 is 103
LCM of denominators i.e. for 119,637 is 10829.
Thus, GCF of Fractions is 103/10829.Finally, GCF of Fractions for 412/119, 515/637 is 103/10829.