Use our free GCF of Fractions Calculator tool to compute the GCF of 92/975, 90/254, 766/900 i.e 2/1485900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/975, 90/254, 766/900.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 92/975,90/254,766/900
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 92/975,90/254,766/900, numerators are 92,90,766
Denominators are 975,254,900
The GCF of 92,90,766 is 2 .
LCM of 975,254,900 is 1485900.
The greatest common factor of 92/975,90/254,766/900 = [GCF of 92,90,766]/[LCM of 975,254,900]= 2/1485900
Therefore, the GCF of 92/975,90/254,766/900 is 2/1485900.
To find the highest common factor of 92,90,766, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 766 are 1, 2, 383, 766
The HCF of 92,90,766 is 2.
Lets's calculate GCF of 92,90,766
2 | 92, 90, 766 |
46, 45, 383 |
∴ So the GCF of the given numbers is 2 = 2
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 90
:1,2,3,5,6,9,10,15,18,30,45,90
Now, list down the factors of 766
:1,2,383,766
Greatest Common Factor
We found the factors 92,90,766 . The biggest common factor number is the GCF number.
So the greatest common factor 92,90,766 is 2.
Lets's calculate LCM of 975,254,900
2 | 975, 254, 900 |
3 | 975, 127, 450 |
5 | 325, 127, 150 |
5 | 65, 127, 30 |
13, 127, 6 |
∴ So the LCM of the given numbers is 2 x 3 x 5 x 5 x 13 x 127 x 6 = 1485900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1485900
Therefore, the GCF of Fractions 92/975,90/254,766/900 is 2/1485900
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 975,254,900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,254,900) = 1
common factors(in case of two or more numbers have common factors) = 150
GCF(975,254,900) x common factors =1 x 150 = 150
LCM(975,254,900) = ( 975 × 254 × 900 ) / 150
LCM(975,254,900) = 222885000 / 150
LCM(975,254,900) = 1485900
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 92,90,766?
The HCF of 92,90,766 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 92/975, 90/254, 766/900?
Answer: GCF of Numerators as per given numbers 92/975, 90/254, 766/900 is
GCF of Numerators i.e. for 92,90,766 is 2
LCM of denominators i.e. for 975,254,900 is 1485900.
Thus, GCF of Fractions is 2/1485900.Finally, GCF of Fractions for 92/975, 90/254, 766/900 is 2/1485900.