GCF of 477/438, 9434/142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 477/438, 9434/142 i.e 53/31098 easily. The following is the detailed procedure to determine the greatest common factor of fractions 477/438, 9434/142.
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 477/438,9434/142?
Given fractions are 477/438,9434/142
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 477/438,9434/142, numerators are 477,9434
Denominators are 438,142
The GCF of 477,9434 is 53 .
LCM of 438,142 is 31098.
The greatest common factor of 477/438,9434/142 = [GCF of 477,9434]/[LCM of 438,142]= 53/31098
Therefore, the GCF of 477/438,9434/142 is 53/31098.
To find the highest common factor of 477,9434, we have to find the factors of both numbers and list the highest common factor.
The factors of 477 are 1, 3, 9, 53, 159, 477
The factors of 9434 are 1, 2, 53, 89, 106, 178, 4717, 9434
The HCF of 477,9434 is 53.
Lets's calculate GCF of 477,9434
| 53 | 477, 9434 |
| 9, 178 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 477,9434 By Matching Biggest Common Factor Method
Now, list down the factors of 477
:1,3,9,53,159,477
Now, list down the factors of 9434
:1,2,53,89,106,178,4717,9434
Greatest Common Factor
We found the factors 477,9434 . The biggest common factor number is the GCF number.
So the greatest common factor 477,9434 is 53.
Lets's calculate LCM of 438,142
| 2 | 438, 142 |
| 219, 71 |
∴ So the LCM of the given numbers is 2 x 219 x 71 = 31098
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/31098
Therefore, the GCF of Fractions 477/438,9434/142 is 53/31098
Least Common Multiple of 438,142 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 438,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(438,142) x common factors =2 x 1 = 2
LCM(438,142) = ( 438 × 142 ) / 2
LCM(438,142) = 62196 / 2
LCM(438,142) = 31098
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FAQs on GCF of Fractions of 477/438, 9434/142
1. What is the HCF of 477,9434?
The HCF of 477,9434 is 53
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 477/438, 9434/142?
Answer: GCF of Numerators as per given numbers 477/438, 9434/142 is
GCF of Numerators i.e. for 477,9434 is 53
LCM of denominators i.e. for 438,142 is 31098.
Thus, GCF of Fractions is 53/31098.Finally, GCF of Fractions for 477/438, 9434/142 is 53/31098.