Use our free GCF of Fractions Calculator tool to compute the GCF of 772/722, 527/786 i.e 1/283746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 772/722, 527/786.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 772/722,527/786
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 772/722,527/786, numerators are 772,527
Denominators are 722,786
The GCF of 772,527 is 1 .
LCM of 722,786 is 283746.
The greatest common factor of 772/722,527/786 = [GCF of 772,527]/[LCM of 722,786]= 1/283746
Therefore, the GCF of 772/722,527/786 is 1/283746.
To find the highest common factor of 772,527, we have to find the factors of both numbers and list the highest common factor.
The factors of 772 are 1, 2, 4, 193, 386, 772
The factors of 527 are 1, 17, 31, 527
The HCF of 772,527 is 1.
Lets's calculate GCF of 772,527
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 772
:1,2,4,193,386,772
Now, list down the factors of 527
:1,17,31,527
Greatest Common Factor
We found the factors 772,527 . The biggest common factor number is the GCF number.
So the greatest common factor 772,527 is 1.
Lets's calculate LCM of 722,786
2 | 722, 786 |
361, 393 |
∴ So the LCM of the given numbers is 2 x 361 x 393 = 283746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/283746
Therefore, the GCF of Fractions 772/722,527/786 is 1/283746
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 722,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,786) x common factors =2 x 1 = 2
LCM(722,786) = ( 722 × 786 ) / 2
LCM(722,786) = 567492 / 2
LCM(722,786) = 283746
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 772,527?
The HCF of 772,527 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 772/722, 527/786?
Answer: GCF of Numerators as per given numbers 772/722, 527/786 is
GCF of Numerators i.e. for 772,527 is 1
LCM of denominators i.e. for 722,786 is 283746.
Thus, GCF of Fractions is 1/283746.Finally, GCF of Fractions for 772/722, 527/786 is 1/283746.