GCF of 3345/416, 6913/831
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3345/416, 6913/831 i.e 223/345696 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3345/416, 6913/831.
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 3345/416,6913/831?
Given fractions are 3345/416,6913/831
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 3345/416,6913/831, numerators are 3345,6913
Denominators are 416,831
The GCF of 3345,6913 is 223 .
LCM of 416,831 is 345696.
The greatest common factor of 3345/416,6913/831 = [GCF of 3345,6913]/[LCM of 416,831]= 223/345696
Therefore, the GCF of 3345/416,6913/831 is 223/345696.
To find the highest common factor of 3345,6913, we have to find the factors of both numbers and list the highest common factor.
The factors of 3345 are 1, 3, 5, 15, 223, 669, 1115, 3345
The factors of 6913 are 1, 31, 223, 6913
The HCF of 3345,6913 is 223.
Lets's calculate GCF of 3345,6913
| 223 | 3345, 6913 |
| 15, 31 |
∴ So the GCF of the given numbers is 223 = 223
Greatest Common Factor of 3345,6913 By Matching Biggest Common Factor Method
Now, list down the factors of 3345
:1,3,5,15,223,669,1115,3345
Now, list down the factors of 6913
:1,31,223,6913
Greatest Common Factor
We found the factors 3345,6913 . The biggest common factor number is the GCF number.
So the greatest common factor 3345,6913 is 223.
Lets's calculate LCM of 416,831
Given numbers has no common factors except 1. So, there LCM is their product i.e 345696
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 223/345696
Therefore, the GCF of Fractions 3345/416,6913/831 is 223/345696
Least Common Multiple of 416,831 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 416,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(416,831) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(416,831) x common factors =1 x 1 = 1
LCM(416,831) = ( 416 × 831 ) / 1
LCM(416,831) = 345696 / 1
LCM(416,831) = 345696
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FAQs on GCF of Fractions of 3345/416, 6913/831
1. What is the HCF of 3345,6913?
The HCF of 3345,6913 is 223
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 3345/416, 6913/831?
Answer: GCF of Numerators as per given numbers 3345/416, 6913/831 is
GCF of Numerators i.e. for 3345,6913 is 223
LCM of denominators i.e. for 416,831 is 345696.
Thus, GCF of Fractions is 223/345696.Finally, GCF of Fractions for 3345/416, 6913/831 is 223/345696.