GCF of 4941/739, 4170/6825
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4941/739, 4170/6825 i.e 3/5043675 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4941/739, 4170/6825.
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 4941/739,4170/6825?
Given fractions are 4941/739,4170/6825
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 4941/739,4170/6825, numerators are 4941,4170
Denominators are 739,6825
The GCF of 4941,4170 is 3 .
LCM of 739,6825 is 5043675.
The greatest common factor of 4941/739,4170/6825 = [GCF of 4941,4170]/[LCM of 739,6825]= 3/5043675
Therefore, the GCF of 4941/739,4170/6825 is 3/5043675.
To find the highest common factor of 4941,4170, we have to find the factors of both numbers and list the highest common factor.
The factors of 4941 are 1, 3, 9, 27, 61, 81, 183, 549, 1647, 4941
The factors of 4170 are 1, 2, 3, 5, 6, 10, 15, 30, 139, 278, 417, 695, 834, 1390, 2085, 4170
The HCF of 4941,4170 is 3.
Lets's calculate GCF of 4941,4170
| 3 | 4941, 4170 |
| 1647, 1390 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4941,4170 By Matching Biggest Common Factor Method
Now, list down the factors of 4941
:1,3,9,27,61,81,183,549,1647,4941
Now, list down the factors of 4170
:1,2,3,5,6,10,15,30,139,278,417,695,834,1390,2085,4170
Greatest Common Factor
We found the factors 4941,4170 . The biggest common factor number is the GCF number.
So the greatest common factor 4941,4170 is 3.
Lets's calculate LCM of 739,6825
Given numbers has no common factors except 1. So, there LCM is their product i.e 5043675
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5043675
Therefore, the GCF of Fractions 4941/739,4170/6825 is 3/5043675
Least Common Multiple of 739,6825 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 739,6825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(739,6825) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(739,6825) x common factors =1 x 1 = 1
LCM(739,6825) = ( 739 × 6825 ) / 1
LCM(739,6825) = 5043675 / 1
LCM(739,6825) = 5043675
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FAQs on GCF of Fractions of 4941/739, 4170/6825
1. What is the HCF of 4941,4170?
The HCF of 4941,4170 is 3
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 4941/739, 4170/6825?
Answer: GCF of Numerators as per given numbers 4941/739, 4170/6825 is
GCF of Numerators i.e. for 4941,4170 is 3
LCM of denominators i.e. for 739,6825 is 5043675.
Thus, GCF of Fractions is 3/5043675.Finally, GCF of Fractions for 4941/739, 4170/6825 is 3/5043675.