Use our free GCF of Fractions Calculator tool to compute the GCF of 3700/245, 8074/3614 i.e 2/885430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3700/245, 8074/3614.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 3700/245,8074/3614
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 3700/245,8074/3614, numerators are 3700,8074
Denominators are 245,3614
The GCF of 3700,8074 is 2 .
LCM of 245,3614 is 885430.
The greatest common factor of 3700/245,8074/3614 = [GCF of 3700,8074]/[LCM of 245,3614]= 2/885430
Therefore, the GCF of 3700/245,8074/3614 is 2/885430.
To find the highest common factor of 3700,8074, we have to find the factors of both numbers and list the highest common factor.
The factors of 3700 are 1, 2, 4, 5, 10, 20, 25, 37, 50, 74, 100, 148, 185, 370, 740, 925, 1850, 3700
The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074
The HCF of 3700,8074 is 2.
Lets's calculate GCF of 3700,8074
2 | 3700, 8074 |
1850, 4037 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 3700
:1,2,4,5,10,20,25,37,50,74,100,148,185,370,740,925,1850,3700
Now, list down the factors of 8074
:1,2,11,22,367,734,4037,8074
Greatest Common Factor
We found the factors 3700,8074 . The biggest common factor number is the GCF number.
So the greatest common factor 3700,8074 is 2.
Lets's calculate LCM of 245,3614
Given numbers has no common factors except 1. So, there LCM is their product i.e 885430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/885430
Therefore, the GCF of Fractions 3700/245,8074/3614 is 2/885430
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 245,3614 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(245,3614) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(245,3614) x common factors =1 x 1 = 1
LCM(245,3614) = ( 245 × 3614 ) / 1
LCM(245,3614) = 885430 / 1
LCM(245,3614) = 885430
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 3700,8074?
The HCF of 3700,8074 is 2
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 3700/245, 8074/3614?
Answer: GCF of Numerators as per given numbers 3700/245, 8074/3614 is
GCF of Numerators i.e. for 3700,8074 is 2
LCM of denominators i.e. for 245,3614 is 885430.
Thus, GCF of Fractions is 2/885430.Finally, GCF of Fractions for 3700/245, 8074/3614 is 2/885430.