Use our free GCF of Fractions Calculator tool to compute the GCF of 7/79, 92/90, 78/159, 811/900 i.e 1/3768300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7/79, 92/90, 78/159, 811/900.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7/79,92/90,78/159,811/900
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 7/79,92/90,78/159,811/900, numerators are 7,92,78,811
Denominators are 79,90,159,900
The GCF of 7,92,78,811 is 1 .
LCM of 79,90,159,900 is 3768300.
The greatest common factor of 7/79,92/90,78/159,811/900 = [GCF of 7,92,78,811]/[LCM of 79,90,159,900]= 1/3768300
Therefore, the GCF of 7/79,92/90,78/159,811/900 is 1/3768300.
To find the highest common factor of 7,92,78,811, we have to find the factors of both numbers and list the highest common factor.
The factors of 7 are 1, 7
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 811 are 1, 811
The HCF of 7,92,78,811 is 1.
Lets's calculate GCF of 7,92,78,811
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 7
:1,7
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 811
:1,811
Greatest Common Factor
We found the factors 7,92,78,811 . The biggest common factor number is the GCF number.
So the greatest common factor 7,92,78,811 is 1.
Lets's calculate LCM of 79,90,159,900
2 | 79, 90, 159, 900 |
3 | 79, 45, 159, 450 |
3 | 79, 15, 53, 150 |
5 | 79, 5, 53, 50 |
79, 1, 53, 10 |
∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 79 x 1 x 53 x 10 = 3768300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3768300
Therefore, the GCF of Fractions 7/79,92/90,78/159,811/900 is 1/3768300
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 79,90,159,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(79,90,159,900) = 1
common factors(in case of two or more numbers have common factors) = 270
GCF(79,90,159,900) x common factors =1 x 270 = 270
LCM(79,90,159,900) = ( 79 × 90 × 159 × 900 ) / 270
LCM(79,90,159,900) = 1017441000 / 270
LCM(79,90,159,900) = 3768300
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 7,92,78,811?
The HCF of 7,92,78,811 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 7/79, 92/90, 78/159, 811/900?
Answer: GCF of Numerators as per given numbers 7/79, 92/90, 78/159, 811/900 is
GCF of Numerators i.e. for 7,92,78,811 is 1
LCM of denominators i.e. for 79,90,159,900 is 3768300.
Thus, GCF of Fractions is 1/3768300.Finally, GCF of Fractions for 7/79, 92/90, 78/159, 811/900 is 1/3768300.