Use our free GCF of Fractions Calculator tool to compute the GCF of 90/55, 278/31, 251/697 i.e 1/1188385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/55, 278/31, 251/697.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 90/55,278/31,251/697
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 90/55,278/31,251/697, numerators are 90,278,251
Denominators are 55,31,697
The GCF of 90,278,251 is 1 .
LCM of 55,31,697 is 1188385.
The greatest common factor of 90/55,278/31,251/697 = [GCF of 90,278,251]/[LCM of 55,31,697]= 1/1188385
Therefore, the GCF of 90/55,278/31,251/697 is 1/1188385.
To find the highest common factor of 90,278,251, we have to find the factors of both numbers and list the highest common factor.
The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
The factors of 278 are 1, 2, 139, 278
The factors of 251 are 1, 251
The HCF of 90,278,251 is 1.
Lets's calculate GCF of 90,278,251
∴ So GCF of numbers is 1 because of no common factors present between them.
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 278
:1,2,139,278
Now, list down the factors of 251
:1,251
Greatest Common Factor
We found the factors 90,278,251 . The biggest common factor number is the GCF number.
So the greatest common factor 90,278,251 is 1.
Lets's calculate LCM of 55,31,697
Given numbers has no common factors except 1. So, there LCM is their product i.e 1188385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1188385
Therefore, the GCF of Fractions 90/55,278/31,251/697 is 1/1188385
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 55,31,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,31,697) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(55,31,697) x common factors =1 x 1 = 1
LCM(55,31,697) = ( 55 × 31 × 697 ) / 1
LCM(55,31,697) = 1188385 / 1
LCM(55,31,697) = 1188385
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 90,278,251?
The HCF of 90,278,251 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 90/55, 278/31, 251/697?
Answer: GCF of Numerators as per given numbers 90/55, 278/31, 251/697 is
GCF of Numerators i.e. for 90,278,251 is 1
LCM of denominators i.e. for 55,31,697 is 1188385.
Thus, GCF of Fractions is 1/1188385.Finally, GCF of Fractions for 90/55, 278/31, 251/697 is 1/1188385.