GCF of 315/518, 3607/212
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 315/518, 3607/212 i.e 1/54908 easily. The following is the detailed procedure to determine the greatest common factor of fractions 315/518, 3607/212.
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 315/518,3607/212?
Given fractions are 315/518,3607/212
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 315/518,3607/212, numerators are 315,3607
Denominators are 518,212
The GCF of 315,3607 is 1 .
LCM of 518,212 is 54908.
The greatest common factor of 315/518,3607/212 = [GCF of 315,3607]/[LCM of 518,212]= 1/54908
Therefore, the GCF of 315/518,3607/212 is 1/54908.
To find the highest common factor of 315,3607, we have to find the factors of both numbers and list the highest common factor.
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The factors of 3607 are 1, 3607
The HCF of 315,3607 is 1.
Lets's calculate GCF of 315,3607
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 315,3607 By Matching Biggest Common Factor Method
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Now, list down the factors of 3607
:1,3607
Greatest Common Factor
We found the factors 315,3607 . The biggest common factor number is the GCF number.
So the greatest common factor 315,3607 is 1.
Lets's calculate LCM of 518,212
| 2 | 518, 212 |
| 259, 106 |
∴ So the LCM of the given numbers is 2 x 259 x 106 = 54908
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54908
Therefore, the GCF of Fractions 315/518,3607/212 is 1/54908
Least Common Multiple of 518,212 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 518,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(518,212) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(518,212) x common factors =2 x 1 = 2
LCM(518,212) = ( 518 × 212 ) / 2
LCM(518,212) = 109816 / 2
LCM(518,212) = 54908
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FAQs on GCF of Fractions of 315/518, 3607/212
1. What is the HCF of 315,3607?
The HCF of 315,3607 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 315/518, 3607/212?
Answer: GCF of Numerators as per given numbers 315/518, 3607/212 is
GCF of Numerators i.e. for 315,3607 is 1
LCM of denominators i.e. for 518,212 is 54908.
Thus, GCF of Fractions is 1/54908.Finally, GCF of Fractions for 315/518, 3607/212 is 1/54908.