Use our free GCF of Fractions Calculator tool to compute the GCF of 26/97, 70/650, 796/774 i.e 2/24400350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 26/97, 70/650, 796/774.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 26/97,70/650,796/774
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 26/97,70/650,796/774, numerators are 26,70,796
Denominators are 97,650,774
The GCF of 26,70,796 is 2 .
LCM of 97,650,774 is 24400350.
The greatest common factor of 26/97,70/650,796/774 = [GCF of 26,70,796]/[LCM of 97,650,774]= 2/24400350
Therefore, the GCF of 26/97,70/650,796/774 is 2/24400350.
To find the highest common factor of 26,70,796, we have to find the factors of both numbers and list the highest common factor.
The factors of 26 are 1, 2, 13, 26
The factors of 70 are 1, 2, 5, 7, 10, 14, 35, 70
The factors of 796 are 1, 2, 4, 199, 398, 796
The HCF of 26,70,796 is 2.
Lets's calculate GCF of 26,70,796
2 | 26, 70, 796 |
13, 35, 398 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 26
:1,2,13,26
Now, list down the factors of 70
:1,2,5,7,10,14,35,70
Now, list down the factors of 796
:1,2,4,199,398,796
Greatest Common Factor
We found the factors 26,70,796 . The biggest common factor number is the GCF number.
So the greatest common factor 26,70,796 is 2.
Lets's calculate LCM of 97,650,774
2 | 97, 650, 774 |
97, 325, 387 |
∴ So the LCM of the given numbers is 2 x 97 x 325 x 387 = 24400350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/24400350
Therefore, the GCF of Fractions 26/97,70/650,796/774 is 2/24400350
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 97,650,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,650,774) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(97,650,774) x common factors =1 x 2 = 2
LCM(97,650,774) = ( 97 × 650 × 774 ) / 2
LCM(97,650,774) = 48800700 / 2
LCM(97,650,774) = 24400350
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 26,70,796?
The HCF of 26,70,796 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 26/97, 70/650, 796/774?
Answer: GCF of Numerators as per given numbers 26/97, 70/650, 796/774 is
GCF of Numerators i.e. for 26,70,796 is 2
LCM of denominators i.e. for 97,650,774 is 24400350.
Thus, GCF of Fractions is 2/24400350.Finally, GCF of Fractions for 26/97, 70/650, 796/774 is 2/24400350.