GCF of 147/296, 1437/377
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 147/296, 1437/377 i.e 3/111592 easily. The following is the detailed procedure to determine the greatest common factor of fractions 147/296, 1437/377.
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 147/296,1437/377?
Given fractions are 147/296,1437/377
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 147/296,1437/377, numerators are 147,1437
Denominators are 296,377
The GCF of 147,1437 is 3 .
LCM of 296,377 is 111592.
The greatest common factor of 147/296,1437/377 = [GCF of 147,1437]/[LCM of 296,377]= 3/111592
Therefore, the GCF of 147/296,1437/377 is 3/111592.
To find the highest common factor of 147,1437, 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 1437 are 1, 3, 479, 1437
The HCF of 147,1437 is 3.
Lets's calculate GCF of 147,1437
| 3 | 147, 1437 |
| 49, 479 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 147,1437 By Matching Biggest Common Factor Method
Now, list down the factors of 147
:1,3,7,21,49,147
Now, list down the factors of 1437
:1,3,479,1437
Greatest Common Factor
We found the factors 147,1437 . The biggest common factor number is the GCF number.
So the greatest common factor 147,1437 is 3.
Lets's calculate LCM of 296,377
Given numbers has no common factors except 1. So, there LCM is their product i.e 111592
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/111592
Therefore, the GCF of Fractions 147/296,1437/377 is 3/111592
Least Common Multiple of 296,377 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 296,377 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(296,377) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(296,377) x common factors =1 x 1 = 1
LCM(296,377) = ( 296 × 377 ) / 1
LCM(296,377) = 111592 / 1
LCM(296,377) = 111592
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FAQs on GCF of Fractions of 147/296, 1437/377
1. What is the HCF of 147,1437?
The HCF of 147,1437 is 3
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 147/296, 1437/377?
Answer: GCF of Numerators as per given numbers 147/296, 1437/377 is
GCF of Numerators i.e. for 147,1437 is 3
LCM of denominators i.e. for 296,377 is 111592.
Thus, GCF of Fractions is 3/111592.Finally, GCF of Fractions for 147/296, 1437/377 is 3/111592.