GCF of 4212/577, 8397/748
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4212/577, 8397/748 i.e 27/431596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4212/577, 8397/748.
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 4212/577,8397/748?
Given fractions are 4212/577,8397/748
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 4212/577,8397/748, numerators are 4212,8397
Denominators are 577,748
The GCF of 4212,8397 is 27 .
LCM of 577,748 is 431596.
The greatest common factor of 4212/577,8397/748 = [GCF of 4212,8397]/[LCM of 577,748]= 27/431596
Therefore, the GCF of 4212/577,8397/748 is 27/431596.
To find the highest common factor of 4212,8397, 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 8397 are 1, 3, 9, 27, 311, 933, 2799, 8397
The HCF of 4212,8397 is 27.
Lets's calculate GCF of 4212,8397
| 3 | 4212, 8397 |
| 3 | 1404, 2799 |
| 3 | 468, 933 |
| 156, 311 |
∴ So the GCF of the given numbers is 3 x 3 x 3 = 27
Greatest Common Factor of 4212,8397 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 8397
:1,3,9,27,311,933,2799,8397
Greatest Common Factor
We found the factors 4212,8397 . The biggest common factor number is the GCF number.
So the greatest common factor 4212,8397 is 27.
Lets's calculate LCM of 577,748
Given numbers has no common factors except 1. So, there LCM is their product i.e 431596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 27/431596
Therefore, the GCF of Fractions 4212/577,8397/748 is 27/431596
Least Common Multiple of 577,748 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 577,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(577,748) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(577,748) x common factors =1 x 1 = 1
LCM(577,748) = ( 577 × 748 ) / 1
LCM(577,748) = 431596 / 1
LCM(577,748) = 431596
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FAQs on GCF of Fractions of 4212/577, 8397/748
1. What is the HCF of 4212,8397?
The HCF of 4212,8397 is 27
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 4212/577, 8397/748?
Answer: GCF of Numerators as per given numbers 4212/577, 8397/748 is
GCF of Numerators i.e. for 4212,8397 is 27
LCM of denominators i.e. for 577,748 is 431596.
Thus, GCF of Fractions is 27/431596.Finally, GCF of Fractions for 4212/577, 8397/748 is 27/431596.