Use our free GCF of Fractions Calculator tool to compute the GCF of 694/811, 786/782 i.e 2/634202 easily. The following is the detailed procedure to determine the greatest common factor of fractions 694/811, 786/782.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 694/811,786/782
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 694/811,786/782, numerators are 694,786
Denominators are 811,782
The GCF of 694,786 is 2 .
LCM of 811,782 is 634202.
The greatest common factor of 694/811,786/782 = [GCF of 694,786]/[LCM of 811,782]= 2/634202
Therefore, the GCF of 694/811,786/782 is 2/634202.
To find the highest common factor of 694,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 694 are 1, 2, 347, 694
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 694,786 is 2.
Lets's calculate GCF of 694,786
2 | 694, 786 |
347, 393 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 694
:1,2,347,694
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 694,786 . The biggest common factor number is the GCF number.
So the greatest common factor 694,786 is 2.
Lets's calculate LCM of 811,782
Given numbers has no common factors except 1. So, there LCM is their product i.e 634202
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/634202
Therefore, the GCF of Fractions 694/811,786/782 is 2/634202
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 811,782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(811,782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(811,782) x common factors =1 x 1 = 1
LCM(811,782) = ( 811 × 782 ) / 1
LCM(811,782) = 634202 / 1
LCM(811,782) = 634202
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 694,786?
The HCF of 694,786 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 694/811, 786/782?
Answer: GCF of Numerators as per given numbers 694/811, 786/782 is
GCF of Numerators i.e. for 694,786 is 2
LCM of denominators i.e. for 811,782 is 634202.
Thus, GCF of Fractions is 2/634202.Finally, GCF of Fractions for 694/811, 786/782 is 2/634202.