GCF of 238/772, 476/384
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 238/772, 476/384 i.e 238/74112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 238/772, 476/384.
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 238/772,476/384?
Given fractions are 238/772,476/384
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 238/772,476/384, numerators are 238,476
Denominators are 772,384
The GCF of 238,476 is 238 .
LCM of 772,384 is 74112.
The greatest common factor of 238/772,476/384 = [GCF of 238,476]/[LCM of 772,384]= 238/74112
Therefore, the GCF of 238/772,476/384 is 238/74112.
To find the highest common factor of 238,476, we have to find the factors of both numbers and list the highest common factor.
The factors of 238 are 1, 2, 7, 14, 17, 34, 119, 238
The factors of 476 are 1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
The HCF of 238,476 is 238.
Lets's calculate GCF of 238,476
| 2 | 238, 476 |
| 7 | 119, 238 |
| 17 | 17, 34 |
| 1, 2 |
∴ So the GCF of the given numbers is 2 x 7 x 17 = 238
Greatest Common Factor of 238,476 By Matching Biggest Common Factor Method
Now, list down the factors of 238
:1,2,7,14,17,34,119,238
Now, list down the factors of 476
:1,2,4,7,14,17,28,34,68,119,238,476
Greatest Common Factor
We found the factors 238,476 . The biggest common factor number is the GCF number.
So the greatest common factor 238,476 is 238.
Lets's calculate LCM of 772,384
| 2 | 772, 384 |
| 2 | 386, 192 |
| 193, 96 |
∴ So the LCM of the given numbers is 2 x 2 x 193 x 96 = 74112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 238/74112
Therefore, the GCF of Fractions 238/772,476/384 is 238/74112
Least Common Multiple of 772,384 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 772,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(772,384) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(772,384) x common factors =4 x 1 = 4
LCM(772,384) = ( 772 × 384 ) / 4
LCM(772,384) = 296448 / 4
LCM(772,384) = 74112
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FAQs on GCF of Fractions of 238/772, 476/384
1. What is the HCF of 238,476?
The HCF of 238,476 is 238
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 238/772, 476/384?
Answer: GCF of Numerators as per given numbers 238/772, 476/384 is
GCF of Numerators i.e. for 238,476 is 238
LCM of denominators i.e. for 772,384 is 74112.
Thus, GCF of Fractions is 238/74112.Finally, GCF of Fractions for 238/772, 476/384 is 238/74112.