Use our free GCF of Fractions Calculator tool to compute the GCF of 88/702, 26/252, 260/686 i.e 2/481572 easily. The following is the detailed procedure to determine the greatest common factor of fractions 88/702, 26/252, 260/686.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 88/702,26/252,260/686
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 88/702,26/252,260/686, numerators are 88,26,260
Denominators are 702,252,686
The GCF of 88,26,260 is 2 .
LCM of 702,252,686 is 481572.
The greatest common factor of 88/702,26/252,260/686 = [GCF of 88,26,260]/[LCM of 702,252,686]= 2/481572
Therefore, the GCF of 88/702,26/252,260/686 is 2/481572.
To find the highest common factor of 88,26,260, we have to find the factors of both numbers and list the highest common factor.
The factors of 88 are 1, 2, 4, 8, 11, 22, 44, 88
The factors of 26 are 1, 2, 13, 26
The factors of 260 are 1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260
The HCF of 88,26,260 is 2.
Lets's calculate GCF of 88,26,260
2 | 88, 26, 260 |
44, 13, 130 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 88
:1,2,4,8,11,22,44,88
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 260
:1,2,4,5,10,13,20,26,52,65,130,260
Greatest Common Factor
We found the factors 88,26,260 . The biggest common factor number is the GCF number.
So the greatest common factor 88,26,260 is 2.
Lets's calculate LCM of 702,252,686
2 | 702, 252, 686 |
3 | 351, 126, 343 |
3 | 117, 42, 343 |
7 | 39, 14, 343 |
39, 2, 49 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 7 x 39 x 2 x 49 = 481572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/481572
Therefore, the GCF of Fractions 88/702,26/252,260/686 is 2/481572
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 702,252,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(702,252,686) = 2
common factors(in case of two or more numbers have common factors) = 126
GCF(702,252,686) x common factors =2 x 126 = 252
LCM(702,252,686) = ( 702 × 252 × 686 ) / 252
LCM(702,252,686) = 121356144 / 252
LCM(702,252,686) = 481572
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 88,26,260?
The HCF of 88,26,260 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 88/702, 26/252, 260/686?
Answer: GCF of Numerators as per given numbers 88/702, 26/252, 260/686 is
GCF of Numerators i.e. for 88,26,260 is 2
LCM of denominators i.e. for 702,252,686 is 481572.
Thus, GCF of Fractions is 2/481572.Finally, GCF of Fractions for 88/702, 26/252, 260/686 is 2/481572.