Use our free GCF of Fractions Calculator tool to compute the GCF of 147/752, 953/504 i.e 1/47376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/752, 953/504.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 147/752,953/504
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 147/752,953/504, numerators are 147,953
Denominators are 752,504
The GCF of 147,953 is 1 .
LCM of 752,504 is 47376.
The greatest common factor of 147/752,953/504 = [GCF of 147,953]/[LCM of 752,504]= 1/47376
Therefore, the GCF of 147/752,953/504 is 1/47376.
To find the highest common factor of 147,953, we have to find the factors of both numbers and list the highest common factor.
The factors of 147 are 1, 3, 7, 21, 49, 147
The factors of 953 are 1, 953
The HCF of 147,953 is 1.
Lets's calculate GCF of 147,953
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 147
:1,3,7,21,49,147
Now, list down the factors of 953
:1,953
Greatest Common Factor
We found the factors 147,953 . The biggest common factor number is the GCF number.
So the greatest common factor 147,953 is 1.
Lets's calculate LCM of 752,504
2 | 752, 504 |
2 | 376, 252 |
2 | 188, 126 |
94, 63 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 94 x 63 = 47376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47376
Therefore, the GCF of Fractions 147/752,953/504 is 1/47376
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 752,504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(752,504) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(752,504) x common factors =8 x 1 = 8
LCM(752,504) = ( 752 × 504 ) / 8
LCM(752,504) = 379008 / 8
LCM(752,504) = 47376
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 147,953?
The HCF of 147,953 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 147/752, 953/504?
Answer: GCF of Numerators as per given numbers 147/752, 953/504 is
GCF of Numerators i.e. for 147,953 is 1
LCM of denominators i.e. for 752,504 is 47376.
Thus, GCF of Fractions is 1/47376.Finally, GCF of Fractions for 147/752, 953/504 is 1/47376.