GCF of 8853/784, 2283/1677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8853/784, 2283/1677 i.e 3/1314768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8853/784, 2283/1677.
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 8853/784,2283/1677?
Given fractions are 8853/784,2283/1677
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 8853/784,2283/1677, numerators are 8853,2283
Denominators are 784,1677
The GCF of 8853,2283 is 3 .
LCM of 784,1677 is 1314768.
The greatest common factor of 8853/784,2283/1677 = [GCF of 8853,2283]/[LCM of 784,1677]= 3/1314768
Therefore, the GCF of 8853/784,2283/1677 is 3/1314768.
To find the highest common factor of 8853,2283, we have to find the factors of both numbers and list the highest common factor.
The factors of 8853 are 1, 3, 13, 39, 227, 681, 2951, 8853
The factors of 2283 are 1, 3, 761, 2283
The HCF of 8853,2283 is 3.
Lets's calculate GCF of 8853,2283
| 3 | 8853, 2283 |
| 2951, 761 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8853,2283 By Matching Biggest Common Factor Method
Now, list down the factors of 8853
:1,3,13,39,227,681,2951,8853
Now, list down the factors of 2283
:1,3,761,2283
Greatest Common Factor
We found the factors 8853,2283 . The biggest common factor number is the GCF number.
So the greatest common factor 8853,2283 is 3.
Lets's calculate LCM of 784,1677
Given numbers has no common factors except 1. So, there LCM is their product i.e 1314768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1314768
Therefore, the GCF of Fractions 8853/784,2283/1677 is 3/1314768
Least Common Multiple of 784,1677 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 784,1677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,1677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(784,1677) x common factors =1 x 1 = 1
LCM(784,1677) = ( 784 × 1677 ) / 1
LCM(784,1677) = 1314768 / 1
LCM(784,1677) = 1314768
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FAQs on GCF of Fractions of 8853/784, 2283/1677
1. What is the HCF of 8853,2283?
The HCF of 8853,2283 is 3
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 8853/784, 2283/1677?
Answer: GCF of Numerators as per given numbers 8853/784, 2283/1677 is
GCF of Numerators i.e. for 8853,2283 is 3
LCM of denominators i.e. for 784,1677 is 1314768.
Thus, GCF of Fractions is 3/1314768.Finally, GCF of Fractions for 8853/784, 2283/1677 is 3/1314768.