Use our free GCF of Fractions Calculator tool to compute the GCF of 792/110, 823/870 i.e 1/9570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 792/110, 823/870.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 792/110,823/870
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 792/110,823/870, numerators are 792,823
Denominators are 110,870
The GCF of 792,823 is 1 .
LCM of 110,870 is 9570.
The greatest common factor of 792/110,823/870 = [GCF of 792,823]/[LCM of 110,870]= 1/9570
Therefore, the GCF of 792/110,823/870 is 1/9570.
To find the highest common factor of 792,823, we have to find the factors of both numbers and list the highest common factor.
The factors of 792 are 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
The factors of 823 are 1, 823
The HCF of 792,823 is 1.
Lets's calculate GCF of 792,823
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 792
:1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792
Now, list down the factors of 823
:1,823
Greatest Common Factor
We found the factors 792,823 . The biggest common factor number is the GCF number.
So the greatest common factor 792,823 is 1.
Lets's calculate LCM of 110,870
2 | 110, 870 |
5 | 55, 435 |
11, 87 |
∴ So the LCM of the given numbers is 2 x 5 x 11 x 87 = 9570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9570
Therefore, the GCF of Fractions 792/110,823/870 is 1/9570
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 110,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(110,870) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(110,870) x common factors =10 x 1 = 10
LCM(110,870) = ( 110 × 870 ) / 10
LCM(110,870) = 95700 / 10
LCM(110,870) = 9570
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 792,823?
The HCF of 792,823 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 792/110, 823/870?
Answer: GCF of Numerators as per given numbers 792/110, 823/870 is
GCF of Numerators i.e. for 792,823 is 1
LCM of denominators i.e. for 110,870 is 9570.
Thus, GCF of Fractions is 1/9570.Finally, GCF of Fractions for 792/110, 823/870 is 1/9570.