Use our free GCF of Fractions Calculator tool to compute the GCF of 49/508, 64/177, 757/351 i.e 1/10520172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 49/508, 64/177, 757/351.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 49/508,64/177,757/351
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 49/508,64/177,757/351, numerators are 49,64,757
Denominators are 508,177,351
The GCF of 49,64,757 is 1 .
LCM of 508,177,351 is 10520172.
The greatest common factor of 49/508,64/177,757/351 = [GCF of 49,64,757]/[LCM of 508,177,351]= 1/10520172
Therefore, the GCF of 49/508,64/177,757/351 is 1/10520172.
To find the highest common factor of 49,64,757, 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 64 are 1, 2, 4, 8, 16, 32, 64
The factors of 757 are 1, 757
The HCF of 49,64,757 is 1.
Lets's calculate GCF of 49,64,757
∴ 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 64
:1,2,4,8,16,32,64
Now, list down the factors of 757
:1,757
Greatest Common Factor
We found the factors 49,64,757 . The biggest common factor number is the GCF number.
So the greatest common factor 49,64,757 is 1.
Lets's calculate LCM of 508,177,351
3 | 508, 177, 351 |
508, 59, 117 |
∴ So the LCM of the given numbers is 3 x 508 x 59 x 117 = 10520172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10520172
Therefore, the GCF of Fractions 49/508,64/177,757/351 is 1/10520172
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 508,177,351 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(508,177,351) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(508,177,351) x common factors =1 x 3 = 3
LCM(508,177,351) = ( 508 × 177 × 351 ) / 3
LCM(508,177,351) = 31560516 / 3
LCM(508,177,351) = 10520172
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 49,64,757?
The HCF of 49,64,757 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 49/508, 64/177, 757/351?
Answer: GCF of Numerators as per given numbers 49/508, 64/177, 757/351 is
GCF of Numerators i.e. for 49,64,757 is 1
LCM of denominators i.e. for 508,177,351 is 10520172.
Thus, GCF of Fractions is 1/10520172.Finally, GCF of Fractions for 49/508, 64/177, 757/351 is 1/10520172.