GCF of 7145/372, 5253/5178
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7145/372, 5253/5178 i.e 1/321036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7145/372, 5253/5178.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 7145/372,5253/5178?
Given fractions are 7145/372,5253/5178
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 7145/372,5253/5178, numerators are 7145,5253
Denominators are 372,5178
The GCF of 7145,5253 is 1 .
LCM of 372,5178 is 321036.
The greatest common factor of 7145/372,5253/5178 = [GCF of 7145,5253]/[LCM of 372,5178]= 1/321036
Therefore, the GCF of 7145/372,5253/5178 is 1/321036.
To find the highest common factor of 7145,5253, we have to find the factors of both numbers and list the highest common factor.
The factors of 7145 are 1, 5, 1429, 7145
The factors of 5253 are 1, 3, 17, 51, 103, 309, 1751, 5253
The HCF of 7145,5253 is 1.
Lets's calculate GCF of 7145,5253
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7145,5253 By Matching Biggest Common Factor Method
Now, list down the factors of 7145
:1,5,1429,7145
Now, list down the factors of 5253
:1,3,17,51,103,309,1751,5253
Greatest Common Factor
We found the factors 7145,5253 . The biggest common factor number is the GCF number.
So the greatest common factor 7145,5253 is 1.
Lets's calculate LCM of 372,5178
| 2 | 372, 5178 |
| 3 | 186, 2589 |
| 62, 863 |
∴ So the LCM of the given numbers is 2 x 3 x 62 x 863 = 321036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/321036
Therefore, the GCF of Fractions 7145/372,5253/5178 is 1/321036
Least Common Multiple of 372,5178 with GCF Formula
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 372,5178 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(372,5178) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(372,5178) x common factors =6 x 1 = 6
LCM(372,5178) = ( 372 × 5178 ) / 6
LCM(372,5178) = 1926216 / 6
LCM(372,5178) = 321036
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7145/372, 5253/5178
1. What is the HCF of 7145,5253?
The HCF of 7145,5253 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 7145/372, 5253/5178?
Answer: GCF of Numerators as per given numbers 7145/372, 5253/5178 is
GCF of Numerators i.e. for 7145,5253 is 1
LCM of denominators i.e. for 372,5178 is 321036.
Thus, GCF of Fractions is 1/321036.Finally, GCF of Fractions for 7145/372, 5253/5178 is 1/321036.