Use our free GCF of Fractions Calculator tool to compute the GCF of 49/92, 510/41, 105/741 i.e 1/2795052 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/92, 510/41, 105/741.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/92,510/41,105/741
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 49/92,510/41,105/741, numerators are 49,510,105
Denominators are 92,41,741
The GCF of 49,510,105 is 1 .
LCM of 92,41,741 is 2795052.
The greatest common factor of 49/92,510/41,105/741 = [GCF of 49,510,105]/[LCM of 92,41,741]= 1/2795052
Therefore, the GCF of 49/92,510/41,105/741 is 1/2795052.
To find the highest common factor of 49,510,105, 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 510 are 1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
The factors of 105 are 1, 3, 5, 7, 15, 21, 35, 105
The HCF of 49,510,105 is 1.
Lets's calculate GCF of 49,510,105
∴ 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 510
:1,2,3,5,6,10,15,17,30,34,51,85,102,170,255,510
Now, list down the factors of 105
:1,3,5,7,15,21,35,105
Greatest Common Factor
We found the factors 49,510,105 . The biggest common factor number is the GCF number.
So the greatest common factor 49,510,105 is 1.
Lets's calculate LCM of 92,41,741
Given numbers has no common factors except 1. So, there LCM is their product i.e 2795052
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2795052
Therefore, the GCF of Fractions 49/92,510/41,105/741 is 1/2795052
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 92,41,741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(92,41,741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(92,41,741) x common factors =1 x 1 = 1
LCM(92,41,741) = ( 92 × 41 × 741 ) / 1
LCM(92,41,741) = 2795052 / 1
LCM(92,41,741) = 2795052
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 49,510,105?
The HCF of 49,510,105 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 49/92, 510/41, 105/741?
Answer: GCF of Numerators as per given numbers 49/92, 510/41, 105/741 is
GCF of Numerators i.e. for 49,510,105 is 1
LCM of denominators i.e. for 92,41,741 is 2795052.
Thus, GCF of Fractions is 1/2795052.Finally, GCF of Fractions for 49/92, 510/41, 105/741 is 1/2795052.