Use our free GCF of Fractions Calculator tool to compute the GCF of 784/370, 341/244 i.e 1/45140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 784/370, 341/244.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 784/370,341/244
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 784/370,341/244, numerators are 784,341
Denominators are 370,244
The GCF of 784,341 is 1 .
LCM of 370,244 is 45140.
The greatest common factor of 784/370,341/244 = [GCF of 784,341]/[LCM of 370,244]= 1/45140
Therefore, the GCF of 784/370,341/244 is 1/45140.
To find the highest common factor of 784,341, we have to find the factors of both numbers and list the highest common factor.
The factors of 784 are 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
The factors of 341 are 1, 11, 31, 341
The HCF of 784,341 is 1.
Lets's calculate GCF of 784,341
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 784
:1,2,4,7,8,14,16,28,49,56,98,112,196,392,784
Now, list down the factors of 341
:1,11,31,341
Greatest Common Factor
We found the factors 784,341 . The biggest common factor number is the GCF number.
So the greatest common factor 784,341 is 1.
Lets's calculate LCM of 370,244
2 | 370, 244 |
185, 122 |
∴ So the LCM of the given numbers is 2 x 185 x 122 = 45140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45140
Therefore, the GCF of Fractions 784/370,341/244 is 1/45140
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 370,244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(370,244) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(370,244) x common factors =2 x 1 = 2
LCM(370,244) = ( 370 × 244 ) / 2
LCM(370,244) = 90280 / 2
LCM(370,244) = 45140
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 784,341?
The HCF of 784,341 is 1
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 784/370, 341/244?
Answer: GCF of Numerators as per given numbers 784/370, 341/244 is
GCF of Numerators i.e. for 784,341 is 1
LCM of denominators i.e. for 370,244 is 45140.
Thus, GCF of Fractions is 1/45140.Finally, GCF of Fractions for 784/370, 341/244 is 1/45140.