GCF of 237/54, 425/704
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 237/54, 425/704 i.e 1/19008 easily. The following is the detailed procedure to determine the greatest common factor of fractions 237/54, 425/704.
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 237/54,425/704?
Given fractions are 237/54,425/704
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 237/54,425/704, numerators are 237,425
Denominators are 54,704
The GCF of 237,425 is 1 .
LCM of 54,704 is 19008.
The greatest common factor of 237/54,425/704 = [GCF of 237,425]/[LCM of 54,704]= 1/19008
Therefore, the GCF of 237/54,425/704 is 1/19008.
To find the highest common factor of 237,425, we have to find the factors of both numbers and list the highest common factor.
The factors of 237 are 1, 3, 79, 237
The factors of 425 are 1, 5, 17, 25, 85, 425
The HCF of 237,425 is 1.
Lets's calculate GCF of 237,425
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 237,425 By Matching Biggest Common Factor Method
Now, list down the factors of 237
:1,3,79,237
Now, list down the factors of 425
:1,5,17,25,85,425
Greatest Common Factor
We found the factors 237,425 . The biggest common factor number is the GCF number.
So the greatest common factor 237,425 is 1.
Lets's calculate LCM of 54,704
| 2 | 54, 704 |
| 27, 352 |
∴ So the LCM of the given numbers is 2 x 27 x 352 = 19008
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19008
Therefore, the GCF of Fractions 237/54,425/704 is 1/19008
Least Common Multiple of 54,704 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 54,704 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,704) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,704) x common factors =2 x 1 = 2
LCM(54,704) = ( 54 × 704 ) / 2
LCM(54,704) = 38016 / 2
LCM(54,704) = 19008
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FAQs on GCF of Fractions of 237/54, 425/704
1. What is the HCF of 237,425?
The HCF of 237,425 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 237/54, 425/704?
Answer: GCF of Numerators as per given numbers 237/54, 425/704 is
GCF of Numerators i.e. for 237,425 is 1
LCM of denominators i.e. for 54,704 is 19008.
Thus, GCF of Fractions is 1/19008.Finally, GCF of Fractions for 237/54, 425/704 is 1/19008.