Use our free GCF of Fractions Calculator tool to compute the GCF of 655/972, 984/749 i.e 1/728028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 655/972, 984/749.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 655/972,984/749
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 655/972,984/749, numerators are 655,984
Denominators are 972,749
The GCF of 655,984 is 1 .
LCM of 972,749 is 728028.
The greatest common factor of 655/972,984/749 = [GCF of 655,984]/[LCM of 972,749]= 1/728028
Therefore, the GCF of 655/972,984/749 is 1/728028.
To find the highest common factor of 655,984, we have to find the factors of both numbers and list the highest common factor.
The factors of 655 are 1, 5, 131, 655
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The HCF of 655,984 is 1.
Lets's calculate GCF of 655,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 655
:1,5,131,655
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 655,984 . The biggest common factor number is the GCF number.
So the greatest common factor 655,984 is 1.
Lets's calculate LCM of 972,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 728028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/728028
Therefore, the GCF of Fractions 655/972,984/749 is 1/728028
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 972,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(972,749) x common factors =1 x 1 = 1
LCM(972,749) = ( 972 × 749 ) / 1
LCM(972,749) = 728028 / 1
LCM(972,749) = 728028
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 655,984?
The HCF of 655,984 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 655/972, 984/749?
Answer: GCF of Numerators as per given numbers 655/972, 984/749 is
GCF of Numerators i.e. for 655,984 is 1
LCM of denominators i.e. for 972,749 is 728028.
Thus, GCF of Fractions is 1/728028.Finally, GCF of Fractions for 655/972, 984/749 is 1/728028.