Use our free GCF of Fractions Calculator tool to compute the GCF of 781/180, 736/772 i.e 1/34740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 781/180, 736/772.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 781/180,736/772
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 781/180,736/772, numerators are 781,736
Denominators are 180,772
The GCF of 781,736 is 1 .
LCM of 180,772 is 34740.
The greatest common factor of 781/180,736/772 = [GCF of 781,736]/[LCM of 180,772]= 1/34740
Therefore, the GCF of 781/180,736/772 is 1/34740.
To find the highest common factor of 781,736, we have to find the factors of both numbers and list the highest common factor.
The factors of 781 are 1, 11, 71, 781
The factors of 736 are 1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
The HCF of 781,736 is 1.
Lets's calculate GCF of 781,736
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 781
:1,11,71,781
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 781,736 . The biggest common factor number is the GCF number.
So the greatest common factor 781,736 is 1.
Lets's calculate LCM of 180,772
2 | 180, 772 |
2 | 90, 386 |
45, 193 |
∴ So the LCM of the given numbers is 2 x 2 x 45 x 193 = 34740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34740
Therefore, the GCF of Fractions 781/180,736/772 is 1/34740
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 180,772 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(180,772) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(180,772) x common factors =4 x 1 = 4
LCM(180,772) = ( 180 × 772 ) / 4
LCM(180,772) = 138960 / 4
LCM(180,772) = 34740
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 781,736?
The HCF of 781,736 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 781/180, 736/772?
Answer: GCF of Numerators as per given numbers 781/180, 736/772 is
GCF of Numerators i.e. for 781,736 is 1
LCM of denominators i.e. for 180,772 is 34740.
Thus, GCF of Fractions is 1/34740.Finally, GCF of Fractions for 781/180, 736/772 is 1/34740.