Use our free GCF of Fractions Calculator tool to compute the GCF of 49/277, 17/571, 326/910 i.e 1/143931970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/277, 17/571, 326/910.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/277,17/571,326/910
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 49/277,17/571,326/910, numerators are 49,17,326
Denominators are 277,571,910
The GCF of 49,17,326 is 1 .
LCM of 277,571,910 is 143931970.
The greatest common factor of 49/277,17/571,326/910 = [GCF of 49,17,326]/[LCM of 277,571,910]= 1/143931970
Therefore, the GCF of 49/277,17/571,326/910 is 1/143931970.
To find the highest common factor of 49,17,326, we have to find the factors of both numbers and list the highest common factor.
The factors of 49 are 1, 7, 49
The factors of 17 are 1, 17
The factors of 326 are 1, 2, 163, 326
The HCF of 49,17,326 is 1.
Lets's calculate GCF of 49,17,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 49
:1,7,49
Now, list down the factors of 17
:1,17
Now, list down the factors of 326
:1,2,163,326
Greatest Common Factor
We found the factors 49,17,326 . The biggest common factor number is the GCF number.
So the greatest common factor 49,17,326 is 1.
Lets's calculate LCM of 277,571,910
Given numbers has no common factors except 1. So, there LCM is their product i.e 143931970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143931970
Therefore, the GCF of Fractions 49/277,17/571,326/910 is 1/143931970
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 277,571,910 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(277,571,910) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(277,571,910) x common factors =1 x 1 = 1
LCM(277,571,910) = ( 277 × 571 × 910 ) / 1
LCM(277,571,910) = 143931970 / 1
LCM(277,571,910) = 143931970
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 49,17,326?
The HCF of 49,17,326 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 49/277, 17/571, 326/910?
Answer: GCF of Numerators as per given numbers 49/277, 17/571, 326/910 is
GCF of Numerators i.e. for 49,17,326 is 1
LCM of denominators i.e. for 277,571,910 is 143931970.
Thus, GCF of Fractions is 1/143931970.Finally, GCF of Fractions for 49/277, 17/571, 326/910 is 1/143931970.