GCF of 4914/189, 8178/8521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4914/189, 8178/8521 i.e 6/1610469 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4914/189, 8178/8521.
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 4914/189,8178/8521?
Given fractions are 4914/189,8178/8521
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 4914/189,8178/8521, numerators are 4914,8178
Denominators are 189,8521
The GCF of 4914,8178 is 6 .
LCM of 189,8521 is 1610469.
The greatest common factor of 4914/189,8178/8521 = [GCF of 4914,8178]/[LCM of 189,8521]= 6/1610469
Therefore, the GCF of 4914/189,8178/8521 is 6/1610469.
To find the highest common factor of 4914,8178, we have to find the factors of both numbers and list the highest common factor.
The factors of 4914 are 1, 2, 3, 6, 7, 9, 13, 14, 18, 21, 26, 27, 39, 42, 54, 63, 78, 91, 117, 126, 182, 189, 234, 273, 351, 378, 546, 702, 819, 1638, 2457, 4914
The factors of 8178 are 1, 2, 3, 6, 29, 47, 58, 87, 94, 141, 174, 282, 1363, 2726, 4089, 8178
The HCF of 4914,8178 is 6.
Lets's calculate GCF of 4914,8178
| 2 | 4914, 8178 |
| 3 | 2457, 4089 |
| 819, 1363 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 4914,8178 By Matching Biggest Common Factor Method
Now, list down the factors of 4914
:1,2,3,6,7,9,13,14,18,21,26,27,39,42,54,63,78,91,117,126,182,189,234,273,351,378,546,702,819,1638,2457,4914
Now, list down the factors of 8178
:1,2,3,6,29,47,58,87,94,141,174,282,1363,2726,4089,8178
Greatest Common Factor
We found the factors 4914,8178 . The biggest common factor number is the GCF number.
So the greatest common factor 4914,8178 is 6.
Lets's calculate LCM of 189,8521
Given numbers has no common factors except 1. So, there LCM is their product i.e 1610469
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1610469
Therefore, the GCF of Fractions 4914/189,8178/8521 is 6/1610469
Least Common Multiple of 189,8521 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 189,8521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(189,8521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(189,8521) x common factors =1 x 1 = 1
LCM(189,8521) = ( 189 × 8521 ) / 1
LCM(189,8521) = 1610469 / 1
LCM(189,8521) = 1610469
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FAQs on GCF of Fractions of 4914/189, 8178/8521
1. What is the HCF of 4914,8178?
The HCF of 4914,8178 is 6
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 4914/189, 8178/8521?
Answer: GCF of Numerators as per given numbers 4914/189, 8178/8521 is
GCF of Numerators i.e. for 4914,8178 is 6
LCM of denominators i.e. for 189,8521 is 1610469.
Thus, GCF of Fractions is 6/1610469.Finally, GCF of Fractions for 4914/189, 8178/8521 is 6/1610469.