GCF of 1856/845, 8544/4428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1856/845, 8544/4428 i.e 32/3741660 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1856/845, 8544/4428.
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 1856/845,8544/4428?
Given fractions are 1856/845,8544/4428
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 1856/845,8544/4428, numerators are 1856,8544
Denominators are 845,4428
The GCF of 1856,8544 is 32 .
LCM of 845,4428 is 3741660.
The greatest common factor of 1856/845,8544/4428 = [GCF of 1856,8544]/[LCM of 845,4428]= 32/3741660
Therefore, the GCF of 1856/845,8544/4428 is 32/3741660.
To find the highest common factor of 1856,8544, we have to find the factors of both numbers and list the highest common factor.
The factors of 1856 are 1, 2, 4, 8, 16, 29, 32, 58, 64, 116, 232, 464, 928, 1856
The factors of 8544 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 89, 96, 178, 267, 356, 534, 712, 1068, 1424, 2136, 2848, 4272, 8544
The HCF of 1856,8544 is 32.
Lets's calculate GCF of 1856,8544
| 2 | 1856, 8544 |
| 2 | 928, 4272 |
| 2 | 464, 2136 |
| 2 | 232, 1068 |
| 2 | 116, 534 |
| 58, 267 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32
Greatest Common Factor of 1856,8544 By Matching Biggest Common Factor Method
Now, list down the factors of 1856
:1,2,4,8,16,29,32,58,64,116,232,464,928,1856
Now, list down the factors of 8544
:1,2,3,4,6,8,12,16,24,32,48,89,96,178,267,356,534,712,1068,1424,2136,2848,4272,8544
Greatest Common Factor
We found the factors 1856,8544 . The biggest common factor number is the GCF number.
So the greatest common factor 1856,8544 is 32.
Lets's calculate LCM of 845,4428
Given numbers has no common factors except 1. So, there LCM is their product i.e 3741660
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/3741660
Therefore, the GCF of Fractions 1856/845,8544/4428 is 32/3741660
Least Common Multiple of 845,4428 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 845,4428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(845,4428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(845,4428) x common factors =1 x 1 = 1
LCM(845,4428) = ( 845 × 4428 ) / 1
LCM(845,4428) = 3741660 / 1
LCM(845,4428) = 3741660
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FAQs on GCF of Fractions of 1856/845, 8544/4428
1. What is the HCF of 1856,8544?
The HCF of 1856,8544 is 32
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 1856/845, 8544/4428?
Answer: GCF of Numerators as per given numbers 1856/845, 8544/4428 is
GCF of Numerators i.e. for 1856,8544 is 32
LCM of denominators i.e. for 845,4428 is 3741660.
Thus, GCF of Fractions is 32/3741660.Finally, GCF of Fractions for 1856/845, 8544/4428 is 32/3741660.