Use our free GCF of Fractions Calculator tool to compute the GCF of 829/776, 117/642 i.e 1/249096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 829/776, 117/642.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 829/776,117/642
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 829/776,117/642, numerators are 829,117
Denominators are 776,642
The GCF of 829,117 is 1 .
LCM of 776,642 is 249096.
The greatest common factor of 829/776,117/642 = [GCF of 829,117]/[LCM of 776,642]= 1/249096
Therefore, the GCF of 829/776,117/642 is 1/249096.
To find the highest common factor of 829,117, we have to find the factors of both numbers and list the highest common factor.
The factors of 829 are 1, 829
The factors of 117 are 1, 3, 9, 13, 39, 117
The HCF of 829,117 is 1.
Lets's calculate GCF of 829,117
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 829
:1,829
Now, list down the factors of 117
:1,3,9,13,39,117
Greatest Common Factor
We found the factors 829,117 . The biggest common factor number is the GCF number.
So the greatest common factor 829,117 is 1.
Lets's calculate LCM of 776,642
2 | 776, 642 |
388, 321 |
∴ So the LCM of the given numbers is 2 x 388 x 321 = 249096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/249096
Therefore, the GCF of Fractions 829/776,117/642 is 1/249096
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 776,642 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(776,642) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(776,642) x common factors =2 x 1 = 2
LCM(776,642) = ( 776 × 642 ) / 2
LCM(776,642) = 498192 / 2
LCM(776,642) = 249096
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 829,117?
The HCF of 829,117 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 829/776, 117/642?
Answer: GCF of Numerators as per given numbers 829/776, 117/642 is
GCF of Numerators i.e. for 829,117 is 1
LCM of denominators i.e. for 776,642 is 249096.
Thus, GCF of Fractions is 1/249096.Finally, GCF of Fractions for 829/776, 117/642 is 1/249096.