GCF of 3196/337, 3807/310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3196/337, 3807/310 i.e 47/104470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3196/337, 3807/310.
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 3196/337,3807/310?
Given fractions are 3196/337,3807/310
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 3196/337,3807/310, numerators are 3196,3807
Denominators are 337,310
The GCF of 3196,3807 is 47 .
LCM of 337,310 is 104470.
The greatest common factor of 3196/337,3807/310 = [GCF of 3196,3807]/[LCM of 337,310]= 47/104470
Therefore, the GCF of 3196/337,3807/310 is 47/104470.
To find the highest common factor of 3196,3807, we have to find the factors of both numbers and list the highest common factor.
The factors of 3196 are 1, 2, 4, 17, 34, 47, 68, 94, 188, 799, 1598, 3196
The factors of 3807 are 1, 3, 9, 27, 47, 81, 141, 423, 1269, 3807
The HCF of 3196,3807 is 47.
Lets's calculate GCF of 3196,3807
| 47 | 3196, 3807 |
| 68, 81 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 3196,3807 By Matching Biggest Common Factor Method
Now, list down the factors of 3196
:1,2,4,17,34,47,68,94,188,799,1598,3196
Now, list down the factors of 3807
:1,3,9,27,47,81,141,423,1269,3807
Greatest Common Factor
We found the factors 3196,3807 . The biggest common factor number is the GCF number.
So the greatest common factor 3196,3807 is 47.
Lets's calculate LCM of 337,310
Given numbers has no common factors except 1. So, there LCM is their product i.e 104470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/104470
Therefore, the GCF of Fractions 3196/337,3807/310 is 47/104470
Least Common Multiple of 337,310 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 337,310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(337,310) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(337,310) x common factors =1 x 1 = 1
LCM(337,310) = ( 337 × 310 ) / 1
LCM(337,310) = 104470 / 1
LCM(337,310) = 104470
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 3196/337, 3807/310
1. What is the HCF of 3196,3807?
The HCF of 3196,3807 is 47
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 3196/337, 3807/310?
Answer: GCF of Numerators as per given numbers 3196/337, 3807/310 is
GCF of Numerators i.e. for 3196,3807 is 47
LCM of denominators i.e. for 337,310 is 104470.
Thus, GCF of Fractions is 47/104470.Finally, GCF of Fractions for 3196/337, 3807/310 is 47/104470.