Use our free GCF of Fractions Calculator tool to compute the GCF of 766/137, 870/790 i.e 2/108230 easily. The following is the detailed procedure to determine the greatest common factor of fractions 766/137, 870/790.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 766/137,870/790
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 766/137,870/790, numerators are 766,870
Denominators are 137,790
The GCF of 766,870 is 2 .
LCM of 137,790 is 108230.
The greatest common factor of 766/137,870/790 = [GCF of 766,870]/[LCM of 137,790]= 2/108230
Therefore, the GCF of 766/137,870/790 is 2/108230.
To find the highest common factor of 766,870, we have to find the factors of both numbers and list the highest common factor.
The factors of 766 are 1, 2, 383, 766
The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
The HCF of 766,870 is 2.
Lets's calculate GCF of 766,870
2 | 766, 870 |
383, 435 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 766
:1,2,383,766
Now, list down the factors of 870
:1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870
Greatest Common Factor
We found the factors 766,870 . The biggest common factor number is the GCF number.
So the greatest common factor 766,870 is 2.
Lets's calculate LCM of 137,790
Given numbers has no common factors except 1. So, there LCM is their product i.e 108230
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108230
Therefore, the GCF of Fractions 766/137,870/790 is 2/108230
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 137,790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(137,790) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(137,790) x common factors =1 x 1 = 1
LCM(137,790) = ( 137 × 790 ) / 1
LCM(137,790) = 108230 / 1
LCM(137,790) = 108230
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 766,870?
The HCF of 766,870 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 766/137, 870/790?
Answer: GCF of Numerators as per given numbers 766/137, 870/790 is
GCF of Numerators i.e. for 766,870 is 2
LCM of denominators i.e. for 137,790 is 108230.
Thus, GCF of Fractions is 2/108230.Finally, GCF of Fractions for 766/137, 870/790 is 2/108230.