Use our free GCF of Fractions Calculator tool to compute the GCF of 301/735, 637/245 i.e 7/735 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/735, 637/245.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 301/735,637/245
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 301/735,637/245, numerators are 301,637
Denominators are 735,245
The GCF of 301,637 is 7 .
LCM of 735,245 is 735.
The greatest common factor of 301/735,637/245 = [GCF of 301,637]/[LCM of 735,245]= 7/735
Therefore, the GCF of 301/735,637/245 is 7/735.
To find the highest common factor of 301,637, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 637 are 1, 7, 13, 49, 91, 637
The HCF of 301,637 is 7.
Lets's calculate GCF of 301,637
7 | 301, 637 |
43, 91 |
∴ So the GCF of the given numbers is 7 = 7
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 637
:1,7,13,49,91,637
Greatest Common Factor
We found the factors 301,637 . The biggest common factor number is the GCF number.
So the greatest common factor 301,637 is 7.
Lets's calculate LCM of 735,245
5 | 735, 245 |
7 | 147, 49 |
7 | 21, 7 |
3, 1 |
∴ So the LCM of the given numbers is 5 x 7 x 7 x 3 x 1 = 735
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/735
Therefore, the GCF of Fractions 301/735,637/245 is 7/735
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 735,245 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,245) = 245
common factors(in case of two or more numbers have common factors) = 1
GCF(735,245) x common factors =245 x 1 = 245
LCM(735,245) = ( 735 × 245 ) / 245
LCM(735,245) = 180075 / 245
LCM(735,245) = 735
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 301,637?
The HCF of 301,637 is 7
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 301/735, 637/245?
Answer: GCF of Numerators as per given numbers 301/735, 637/245 is
GCF of Numerators i.e. for 301,637 is 7
LCM of denominators i.e. for 735,245 is 735.
Thus, GCF of Fractions is 7/735.Finally, GCF of Fractions for 301/735, 637/245 is 7/735.