Use our free GCF of Fractions Calculator tool to compute the GCF of 662/688, 736/766 i.e 2/263504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 662/688, 736/766.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 662/688,736/766
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 662/688,736/766, numerators are 662,736
Denominators are 688,766
The GCF of 662,736 is 2 .
LCM of 688,766 is 263504.
The greatest common factor of 662/688,736/766 = [GCF of 662,736]/[LCM of 688,766]= 2/263504
Therefore, the GCF of 662/688,736/766 is 2/263504.
To find the highest common factor of 662,736, we have to find the factors of both numbers and list the highest common factor.
The factors of 662 are 1, 2, 331, 662
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The HCF of 662,736 is 2.
Lets's calculate GCF of 662,736
2 | 662, 736 |
331, 368 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 662
:1,2,331,662
Now, list down the factors of 736
:1,2,4,8,16,23,32,46,92,184,368,736
Greatest Common Factor
We found the factors 662,736 . The biggest common factor number is the GCF number.
So the greatest common factor 662,736 is 2.
Lets's calculate LCM of 688,766
2 | 688, 766 |
344, 383 |
∴ So the LCM of the given numbers is 2 x 344 x 383 = 263504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/263504
Therefore, the GCF of Fractions 662/688,736/766 is 2/263504
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 688,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,766) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(688,766) x common factors =2 x 1 = 2
LCM(688,766) = ( 688 × 766 ) / 2
LCM(688,766) = 527008 / 2
LCM(688,766) = 263504
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 662,736?
The HCF of 662,736 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 662/688, 736/766?
Answer: GCF of Numerators as per given numbers 662/688, 736/766 is
GCF of Numerators i.e. for 662,736 is 2
LCM of denominators i.e. for 688,766 is 263504.
Thus, GCF of Fractions is 2/263504.Finally, GCF of Fractions for 662/688, 736/766 is 2/263504.