Use our free GCF of Fractions Calculator tool to compute the GCF of 526/642, 976/720 i.e 2/77040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 526/642, 976/720.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 526/642,976/720
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 526/642,976/720, numerators are 526,976
Denominators are 642,720
The GCF of 526,976 is 2 .
LCM of 642,720 is 77040.
The greatest common factor of 526/642,976/720 = [GCF of 526,976]/[LCM of 642,720]= 2/77040
Therefore, the GCF of 526/642,976/720 is 2/77040.
To find the highest common factor of 526,976, we have to find the factors of both numbers and list the highest common factor.
The factors of 526 are 1, 2, 263, 526
The factors of 976 are 1, 2, 4, 8, 16, 61, 122, 244, 488, 976
The HCF of 526,976 is 2.
Lets's calculate GCF of 526,976
2 | 526, 976 |
263, 488 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 526
:1,2,263,526
Now, list down the factors of 976
:1,2,4,8,16,61,122,244,488,976
Greatest Common Factor
We found the factors 526,976 . The biggest common factor number is the GCF number.
So the greatest common factor 526,976 is 2.
Lets's calculate LCM of 642,720
2 | 642, 720 |
3 | 321, 360 |
107, 120 |
∴ So the LCM of the given numbers is 2 x 3 x 107 x 120 = 77040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77040
Therefore, the GCF of Fractions 526/642,976/720 is 2/77040
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 642,720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(642,720) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(642,720) x common factors =6 x 1 = 6
LCM(642,720) = ( 642 × 720 ) / 6
LCM(642,720) = 462240 / 6
LCM(642,720) = 77040
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 526,976?
The HCF of 526,976 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 526/642, 976/720?
Answer: GCF of Numerators as per given numbers 526/642, 976/720 is
GCF of Numerators i.e. for 526,976 is 2
LCM of denominators i.e. for 642,720 is 77040.
Thus, GCF of Fractions is 2/77040.Finally, GCF of Fractions for 526/642, 976/720 is 2/77040.