GCF of 3945/785, 4208/3141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3945/785, 4208/3141 i.e 263/2465685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3945/785, 4208/3141.
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 3945/785,4208/3141?
Given fractions are 3945/785,4208/3141
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 3945/785,4208/3141, numerators are 3945,4208
Denominators are 785,3141
The GCF of 3945,4208 is 263 .
LCM of 785,3141 is 2465685.
The greatest common factor of 3945/785,4208/3141 = [GCF of 3945,4208]/[LCM of 785,3141]= 263/2465685
Therefore, the GCF of 3945/785,4208/3141 is 263/2465685.
To find the highest common factor of 3945,4208, we have to find the factors of both numbers and list the highest common factor.
The factors of 3945 are 1, 3, 5, 15, 263, 789, 1315, 3945
The factors of 4208 are 1, 2, 4, 8, 16, 263, 526, 1052, 2104, 4208
The HCF of 3945,4208 is 263.
Lets's calculate GCF of 3945,4208
| 263 | 3945, 4208 |
| 15, 16 |
∴ So the GCF of the given numbers is 263 = 263
Greatest Common Factor of 3945,4208 By Matching Biggest Common Factor Method
Now, list down the factors of 3945
:1,3,5,15,263,789,1315,3945
Now, list down the factors of 4208
:1,2,4,8,16,263,526,1052,2104,4208
Greatest Common Factor
We found the factors 3945,4208 . The biggest common factor number is the GCF number.
So the greatest common factor 3945,4208 is 263.
Lets's calculate LCM of 785,3141
Given numbers has no common factors except 1. So, there LCM is their product i.e 2465685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 263/2465685
Therefore, the GCF of Fractions 3945/785,4208/3141 is 263/2465685
Least Common Multiple of 785,3141 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 785,3141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(785,3141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(785,3141) x common factors =1 x 1 = 1
LCM(785,3141) = ( 785 × 3141 ) / 1
LCM(785,3141) = 2465685 / 1
LCM(785,3141) = 2465685
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FAQs on GCF of Fractions of 3945/785, 4208/3141
1. What is the HCF of 3945,4208?
The HCF of 3945,4208 is 263
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 3945/785, 4208/3141?
Answer: GCF of Numerators as per given numbers 3945/785, 4208/3141 is
GCF of Numerators i.e. for 3945,4208 is 263
LCM of denominators i.e. for 785,3141 is 2465685.
Thus, GCF of Fractions is 263/2465685.Finally, GCF of Fractions for 3945/785, 4208/3141 is 263/2465685.