Use our free GCF of Fractions Calculator tool to compute the GCF of 278/295, 821/190 i.e 1/11210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 278/295, 821/190.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 278/295,821/190
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 278/295,821/190, numerators are 278,821
Denominators are 295,190
The GCF of 278,821 is 1 .
LCM of 295,190 is 11210.
The greatest common factor of 278/295,821/190 = [GCF of 278,821]/[LCM of 295,190]= 1/11210
Therefore, the GCF of 278/295,821/190 is 1/11210.
To find the highest common factor of 278,821, we have to find the factors of both numbers and list the highest common factor.
The factors of 278 are 1, 2, 139, 278
The factors of 821 are 1, 821
The HCF of 278,821 is 1.
Lets's calculate GCF of 278,821
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 278
:1,2,139,278
Now, list down the factors of 821
:1,821
Greatest Common Factor
We found the factors 278,821 . The biggest common factor number is the GCF number.
So the greatest common factor 278,821 is 1.
Lets's calculate LCM of 295,190
5 | 295, 190 |
59, 38 |
∴ So the LCM of the given numbers is 5 x 59 x 38 = 11210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11210
Therefore, the GCF of Fractions 278/295,821/190 is 1/11210
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 295,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(295,190) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(295,190) x common factors =5 x 1 = 5
LCM(295,190) = ( 295 × 190 ) / 5
LCM(295,190) = 56050 / 5
LCM(295,190) = 11210
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 278,821?
The HCF of 278,821 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 278/295, 821/190?
Answer: GCF of Numerators as per given numbers 278/295, 821/190 is
GCF of Numerators i.e. for 278,821 is 1
LCM of denominators i.e. for 295,190 is 11210.
Thus, GCF of Fractions is 1/11210.Finally, GCF of Fractions for 278/295, 821/190 is 1/11210.