Use our free GCF of Fractions Calculator tool to compute the GCF of 38/95, 128/52, 553/677 i.e 1/3344380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/95, 128/52, 553/677.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 38/95,128/52,553/677
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 38/95,128/52,553/677, numerators are 38,128,553
Denominators are 95,52,677
The GCF of 38,128,553 is 1 .
LCM of 95,52,677 is 3344380.
The greatest common factor of 38/95,128/52,553/677 = [GCF of 38,128,553]/[LCM of 95,52,677]= 1/3344380
Therefore, the GCF of 38/95,128/52,553/677 is 1/3344380.
To find the highest common factor of 38,128,553, we have to find the factors of both numbers and list the highest common factor.
The factors of 38 are 1, 2, 19, 38
The factors of 128 are 1, 2, 4, 8, 16, 32, 64, 128
The factors of 553 are 1, 7, 79, 553
The HCF of 38,128,553 is 1.
Lets's calculate GCF of 38,128,553
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 38
:1,2,19,38
Now, list down the factors of 128
:1,2,4,8,16,32,64,128
Now, list down the factors of 553
:1,7,79,553
Greatest Common Factor
We found the factors 38,128,553 . The biggest common factor number is the GCF number.
So the greatest common factor 38,128,553 is 1.
Lets's calculate LCM of 95,52,677
Given numbers has no common factors except 1. So, there LCM is their product i.e 3344380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3344380
Therefore, the GCF of Fractions 38/95,128/52,553/677 is 1/3344380
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 95,52,677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(95,52,677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(95,52,677) x common factors =1 x 1 = 1
LCM(95,52,677) = ( 95 × 52 × 677 ) / 1
LCM(95,52,677) = 3344380 / 1
LCM(95,52,677) = 3344380
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 38,128,553?
The HCF of 38,128,553 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 38/95, 128/52, 553/677?
Answer: GCF of Numerators as per given numbers 38/95, 128/52, 553/677 is
GCF of Numerators i.e. for 38,128,553 is 1
LCM of denominators i.e. for 95,52,677 is 3344380.
Thus, GCF of Fractions is 1/3344380.Finally, GCF of Fractions for 38/95, 128/52, 553/677 is 1/3344380.