Use our free GCF of Fractions Calculator tool to compute the GCF of 445/640, 969/370 i.e 1/23680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 445/640, 969/370.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 445/640,969/370
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 445/640,969/370, numerators are 445,969
Denominators are 640,370
The GCF of 445,969 is 1 .
LCM of 640,370 is 23680.
The greatest common factor of 445/640,969/370 = [GCF of 445,969]/[LCM of 640,370]= 1/23680
Therefore, the GCF of 445/640,969/370 is 1/23680.
To find the highest common factor of 445,969, we have to find the factors of both numbers and list the highest common factor.
The factors of 445 are 1, 5, 89, 445
The factors of 969 are 1, 3, 17, 19, 51, 57, 323, 969
The HCF of 445,969 is 1.
Lets's calculate GCF of 445,969
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 445
:1,5,89,445
Now, list down the factors of 969
:1,3,17,19,51,57,323,969
Greatest Common Factor
We found the factors 445,969 . The biggest common factor number is the GCF number.
So the greatest common factor 445,969 is 1.
Lets's calculate LCM of 640,370
2 | 640, 370 |
5 | 320, 185 |
64, 37 |
∴ So the LCM of the given numbers is 2 x 5 x 64 x 37 = 23680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23680
Therefore, the GCF of Fractions 445/640,969/370 is 1/23680
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 640,370 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(640,370) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(640,370) x common factors =10 x 1 = 10
LCM(640,370) = ( 640 × 370 ) / 10
LCM(640,370) = 236800 / 10
LCM(640,370) = 23680
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 445,969?
The HCF of 445,969 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 445/640, 969/370?
Answer: GCF of Numerators as per given numbers 445/640, 969/370 is
GCF of Numerators i.e. for 445,969 is 1
LCM of denominators i.e. for 640,370 is 23680.
Thus, GCF of Fractions is 1/23680.Finally, GCF of Fractions for 445/640, 969/370 is 1/23680.