GCF of 8656/214, 5104/885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8656/214, 5104/885 i.e 16/189390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8656/214, 5104/885.
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 8656/214,5104/885?
Given fractions are 8656/214,5104/885
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 8656/214,5104/885, numerators are 8656,5104
Denominators are 214,885
The GCF of 8656,5104 is 16 .
LCM of 214,885 is 189390.
The greatest common factor of 8656/214,5104/885 = [GCF of 8656,5104]/[LCM of 214,885]= 16/189390
Therefore, the GCF of 8656/214,5104/885 is 16/189390.
To find the highest common factor of 8656,5104, we have to find the factors of both numbers and list the highest common factor.
The factors of 8656 are 1, 2, 4, 8, 16, 541, 1082, 2164, 4328, 8656
The factors of 5104 are 1, 2, 4, 8, 11, 16, 22, 29, 44, 58, 88, 116, 176, 232, 319, 464, 638, 1276, 2552, 5104
The HCF of 8656,5104 is 16.
Lets's calculate GCF of 8656,5104
| 2 | 8656, 5104 |
| 2 | 4328, 2552 |
| 2 | 2164, 1276 |
| 2 | 1082, 638 |
| 541, 319 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 8656,5104 By Matching Biggest Common Factor Method
Now, list down the factors of 8656
:1,2,4,8,16,541,1082,2164,4328,8656
Now, list down the factors of 5104
:1,2,4,8,11,16,22,29,44,58,88,116,176,232,319,464,638,1276,2552,5104
Greatest Common Factor
We found the factors 8656,5104 . The biggest common factor number is the GCF number.
So the greatest common factor 8656,5104 is 16.
Lets's calculate LCM of 214,885
Given numbers has no common factors except 1. So, there LCM is their product i.e 189390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/189390
Therefore, the GCF of Fractions 8656/214,5104/885 is 16/189390
Least Common Multiple of 214,885 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 214,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(214,885) x common factors =1 x 1 = 1
LCM(214,885) = ( 214 × 885 ) / 1
LCM(214,885) = 189390 / 1
LCM(214,885) = 189390
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FAQs on GCF of Fractions of 8656/214, 5104/885
1. What is the HCF of 8656,5104?
The HCF of 8656,5104 is 16
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 8656/214, 5104/885?
Answer: GCF of Numerators as per given numbers 8656/214, 5104/885 is
GCF of Numerators i.e. for 8656,5104 is 16
LCM of denominators i.e. for 214,885 is 189390.
Thus, GCF of Fractions is 16/189390.Finally, GCF of Fractions for 8656/214, 5104/885 is 16/189390.