GCF of 604/27, 956/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 604/27, 956/142 i.e 4/3834 easily. The following is the detailed procedure to determine the greatest common factor of fractions 604/27, 956/142.
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 604/27,956/142?
Given fractions are 604/27,956/142
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 604/27,956/142, numerators are 604,956
Denominators are 27,142
The GCF of 604,956 is 4 .
LCM of 27,142 is 3834.
The greatest common factor of 604/27,956/142 = [GCF of 604,956]/[LCM of 27,142]= 4/3834
Therefore, the GCF of 604/27,956/142 is 4/3834.
To find the highest common factor of 604,956, we have to find the factors of both numbers and list the highest common factor.
The factors of 604 are 1, 2, 4, 151, 302, 604
The factors of 956 are 1, 2, 4, 239, 478, 956
The HCF of 604,956 is 4.
Lets's calculate GCF of 604,956
| 2 | 604, 956 |
| 2 | 302, 478 |
| 151, 239 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 604,956 By Matching Biggest Common Factor Method
Now, list down the factors of 604
:1,2,4,151,302,604
Now, list down the factors of 956
:1,2,4,239,478,956
Greatest Common Factor
We found the factors 604,956 . The biggest common factor number is the GCF number.
So the greatest common factor 604,956 is 4.
Lets's calculate LCM of 27,142
Given numbers has no common factors except 1. So, there LCM is their product i.e 3834
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/3834
Therefore, the GCF of Fractions 604/27,956/142 is 4/3834
Least Common Multiple of 27,142 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 27,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,142) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,142) x common factors =1 x 1 = 1
LCM(27,142) = ( 27 × 142 ) / 1
LCM(27,142) = 3834 / 1
LCM(27,142) = 3834
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 604/27, 956/142
1. What is the HCF of 604,956?
The HCF of 604,956 is 4
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 604/27, 956/142?
Answer: GCF of Numerators as per given numbers 604/27, 956/142 is
GCF of Numerators i.e. for 604,956 is 4
LCM of denominators i.e. for 27,142 is 3834.
Thus, GCF of Fractions is 4/3834.Finally, GCF of Fractions for 604/27, 956/142 is 4/3834.