GCF of 4256/239, 4816/176
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4256/239, 4816/176 i.e 112/42064 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4256/239, 4816/176.
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 4256/239,4816/176?
Given fractions are 4256/239,4816/176
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 4256/239,4816/176, numerators are 4256,4816
Denominators are 239,176
The GCF of 4256,4816 is 112 .
LCM of 239,176 is 42064.
The greatest common factor of 4256/239,4816/176 = [GCF of 4256,4816]/[LCM of 239,176]= 112/42064
Therefore, the GCF of 4256/239,4816/176 is 112/42064.
To find the highest common factor of 4256,4816, we have to find the factors of both numbers and list the highest common factor.
The factors of 4256 are 1, 2, 4, 7, 8, 14, 16, 19, 28, 32, 38, 56, 76, 112, 133, 152, 224, 266, 304, 532, 608, 1064, 2128, 4256
The factors of 4816 are 1, 2, 4, 7, 8, 14, 16, 28, 43, 56, 86, 112, 172, 301, 344, 602, 688, 1204, 2408, 4816
The HCF of 4256,4816 is 112.
Lets's calculate GCF of 4256,4816
| 2 | 4256, 4816 |
| 2 | 2128, 2408 |
| 2 | 1064, 1204 |
| 2 | 532, 602 |
| 7 | 266, 301 |
| 38, 43 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 7 = 112
Greatest Common Factor of 4256,4816 By Matching Biggest Common Factor Method
Now, list down the factors of 4256
:1,2,4,7,8,14,16,19,28,32,38,56,76,112,133,152,224,266,304,532,608,1064,2128,4256
Now, list down the factors of 4816
:1,2,4,7,8,14,16,28,43,56,86,112,172,301,344,602,688,1204,2408,4816
Greatest Common Factor
We found the factors 4256,4816 . The biggest common factor number is the GCF number.
So the greatest common factor 4256,4816 is 112.
Lets's calculate LCM of 239,176
Given numbers has no common factors except 1. So, there LCM is their product i.e 42064
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 112/42064
Therefore, the GCF of Fractions 4256/239,4816/176 is 112/42064
Least Common Multiple of 239,176 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 239,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,176) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,176) x common factors =1 x 1 = 1
LCM(239,176) = ( 239 × 176 ) / 1
LCM(239,176) = 42064 / 1
LCM(239,176) = 42064
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FAQs on GCF of Fractions of 4256/239, 4816/176
1. What is the HCF of 4256,4816?
The HCF of 4256,4816 is 112
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 4256/239, 4816/176?
Answer: GCF of Numerators as per given numbers 4256/239, 4816/176 is
GCF of Numerators i.e. for 4256,4816 is 112
LCM of denominators i.e. for 239,176 is 42064.
Thus, GCF of Fractions is 112/42064.Finally, GCF of Fractions for 4256/239, 4816/176 is 112/42064.