GCF of 4212/507, 3185/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4212/507, 3185/885 i.e 13/149565 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4212/507, 3185/885.
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 4212/507,3185/885?
Given fractions are 4212/507,3185/885
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 4212/507,3185/885, numerators are 4212,3185
Denominators are 507,885
The GCF of 4212,3185 is 13 .
LCM of 507,885 is 149565.
The greatest common factor of 4212/507,3185/885 = [GCF of 4212,3185]/[LCM of 507,885]= 13/149565
Therefore, the GCF of 4212/507,3185/885 is 13/149565.
To find the highest common factor of 4212,3185, we have to find the factors of both numbers and list the highest common factor.
The factors of 4212 are 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 27, 36, 39, 52, 54, 78, 81, 108, 117, 156, 162, 234, 324, 351, 468, 702, 1053, 1404, 2106, 4212
The factors of 3185 are 1, 5, 7, 13, 35, 49, 65, 91, 245, 455, 637, 3185
The HCF of 4212,3185 is 13.
Lets's calculate GCF of 4212,3185
| 13 | 4212, 3185 |
| 324, 245 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 4212,3185 By Matching Biggest Common Factor Method
Now, list down the factors of 4212
:1,2,3,4,6,9,12,13,18,26,27,36,39,52,54,78,81,108,117,156,162,234,324,351,468,702,1053,1404,2106,4212
Now, list down the factors of 3185
:1,5,7,13,35,49,65,91,245,455,637,3185
Greatest Common Factor
We found the factors 4212,3185 . The biggest common factor number is the GCF number.
So the greatest common factor 4212,3185 is 13.
Lets's calculate LCM of 507,885
| 3 | 507, 885 |
| 169, 295 |
∴ So the LCM of the given numbers is 3 x 169 x 295 = 149565
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/149565
Therefore, the GCF of Fractions 4212/507,3185/885 is 13/149565
Least Common Multiple of 507,885 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 507,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(507,885) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(507,885) x common factors =3 x 1 = 3
LCM(507,885) = ( 507 × 885 ) / 3
LCM(507,885) = 448695 / 3
LCM(507,885) = 149565
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FAQs on GCF of Fractions of 4212/507, 3185/885
1. What is the HCF of 4212,3185?
The HCF of 4212,3185 is 13
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 4212/507, 3185/885?
Answer: GCF of Numerators as per given numbers 4212/507, 3185/885 is
GCF of Numerators i.e. for 4212,3185 is 13
LCM of denominators i.e. for 507,885 is 149565.
Thus, GCF of Fractions is 13/149565.Finally, GCF of Fractions for 4212/507, 3185/885 is 13/149565.