Use our free GCF of Fractions Calculator tool to compute the GCF of 294/962, 975/751 i.e 3/722462 easily. The following is the detailed procedure to determine the greatest common factor of fractions 294/962, 975/751.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 294/962,975/751
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 294/962,975/751, numerators are 294,975
Denominators are 962,751
The GCF of 294,975 is 3 .
LCM of 962,751 is 722462.
The greatest common factor of 294/962,975/751 = [GCF of 294,975]/[LCM of 962,751]= 3/722462
Therefore, the GCF of 294/962,975/751 is 3/722462.
To find the highest common factor of 294,975, we have to find the factors of both numbers and list the highest common factor.
The factors of 294 are 1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
The factors of 975 are 1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
The HCF of 294,975 is 3.
Lets's calculate GCF of 294,975
3 | 294, 975 |
98, 325 |
∴ So the GCF of the given numbers is 3 = 3
Now, list down the factors of 294
:1,2,3,6,7,14,21,42,49,98,147,294
Now, list down the factors of 975
:1,3,5,13,15,25,39,65,75,195,325,975
Greatest Common Factor
We found the factors 294,975 . The biggest common factor number is the GCF number.
So the greatest common factor 294,975 is 3.
Lets's calculate LCM of 962,751
Given numbers has no common factors except 1. So, there LCM is their product i.e 722462
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/722462
Therefore, the GCF of Fractions 294/962,975/751 is 3/722462
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 962,751 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(962,751) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(962,751) x common factors =1 x 1 = 1
LCM(962,751) = ( 962 × 751 ) / 1
LCM(962,751) = 722462 / 1
LCM(962,751) = 722462
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 294,975?
The HCF of 294,975 is 3
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 294/962, 975/751?
Answer: GCF of Numerators as per given numbers 294/962, 975/751 is
GCF of Numerators i.e. for 294,975 is 3
LCM of denominators i.e. for 962,751 is 722462.
Thus, GCF of Fractions is 3/722462.Finally, GCF of Fractions for 294/962, 975/751 is 3/722462.