Use our free GCF of Fractions Calculator tool to compute the GCF of 960/354, 874/825 i.e 2/97350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 960/354, 874/825.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 960/354,874/825
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 960/354,874/825, numerators are 960,874
Denominators are 354,825
The GCF of 960,874 is 2 .
LCM of 354,825 is 97350.
The greatest common factor of 960/354,874/825 = [GCF of 960,874]/[LCM of 354,825]= 2/97350
Therefore, the GCF of 960/354,874/825 is 2/97350.
To find the highest common factor of 960,874, we have to find the factors of both numbers and list the highest common factor.
The factors of 960 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
The factors of 874 are 1, 2, 19, 23, 38, 46, 437, 874
The HCF of 960,874 is 2.
Lets's calculate GCF of 960,874
2 | 960, 874 |
480, 437 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 960
:1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,64,80,96,120,160,192,240,320,480,960
Now, list down the factors of 874
:1,2,19,23,38,46,437,874
Greatest Common Factor
We found the factors 960,874 . The biggest common factor number is the GCF number.
So the greatest common factor 960,874 is 2.
Lets's calculate LCM of 354,825
3 | 354, 825 |
118, 275 |
∴ So the LCM of the given numbers is 3 x 118 x 275 = 97350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/97350
Therefore, the GCF of Fractions 960/354,874/825 is 2/97350
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 354,825 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,825) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(354,825) x common factors =3 x 1 = 3
LCM(354,825) = ( 354 × 825 ) / 3
LCM(354,825) = 292050 / 3
LCM(354,825) = 97350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 960,874?
The HCF of 960,874 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 960/354, 874/825?
Answer: GCF of Numerators as per given numbers 960/354, 874/825 is
GCF of Numerators i.e. for 960,874 is 2
LCM of denominators i.e. for 354,825 is 97350.
Thus, GCF of Fractions is 2/97350.Finally, GCF of Fractions for 960/354, 874/825 is 2/97350.