GCF of 3954/215, 8340/558
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3954/215, 8340/558 i.e 6/119970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3954/215, 8340/558.
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 3954/215,8340/558?
Given fractions are 3954/215,8340/558
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 3954/215,8340/558, numerators are 3954,8340
Denominators are 215,558
The GCF of 3954,8340 is 6 .
LCM of 215,558 is 119970.
The greatest common factor of 3954/215,8340/558 = [GCF of 3954,8340]/[LCM of 215,558]= 6/119970
Therefore, the GCF of 3954/215,8340/558 is 6/119970.
To find the highest common factor of 3954,8340, we have to find the factors of both numbers and list the highest common factor.
The factors of 3954 are 1, 2, 3, 6, 659, 1318, 1977, 3954
The factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340
The HCF of 3954,8340 is 6.
Lets's calculate GCF of 3954,8340
| 2 | 3954, 8340 |
| 3 | 1977, 4170 |
| 659, 1390 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3954,8340 By Matching Biggest Common Factor Method
Now, list down the factors of 3954
:1,2,3,6,659,1318,1977,3954
Now, list down the factors of 8340
:1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340
Greatest Common Factor
We found the factors 3954,8340 . The biggest common factor number is the GCF number.
So the greatest common factor 3954,8340 is 6.
Lets's calculate LCM of 215,558
Given numbers has no common factors except 1. So, there LCM is their product i.e 119970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/119970
Therefore, the GCF of Fractions 3954/215,8340/558 is 6/119970
Least Common Multiple of 215,558 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 215,558 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(215,558) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(215,558) x common factors =1 x 1 = 1
LCM(215,558) = ( 215 × 558 ) / 1
LCM(215,558) = 119970 / 1
LCM(215,558) = 119970
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FAQs on GCF of Fractions of 3954/215, 8340/558
1. What is the HCF of 3954,8340?
The HCF of 3954,8340 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 3954/215, 8340/558?
Answer: GCF of Numerators as per given numbers 3954/215, 8340/558 is
GCF of Numerators i.e. for 3954,8340 is 6
LCM of denominators i.e. for 215,558 is 119970.
Thus, GCF of Fractions is 6/119970.Finally, GCF of Fractions for 3954/215, 8340/558 is 6/119970.