GCF of 1027/944, 5776/1454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1027/944, 5776/1454 i.e 1/686288 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1027/944, 5776/1454.
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 1027/944,5776/1454?
Given fractions are 1027/944,5776/1454
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 1027/944,5776/1454, numerators are 1027,5776
Denominators are 944,1454
The GCF of 1027,5776 is 1 .
LCM of 944,1454 is 686288.
The greatest common factor of 1027/944,5776/1454 = [GCF of 1027,5776]/[LCM of 944,1454]= 1/686288
Therefore, the GCF of 1027/944,5776/1454 is 1/686288.
To find the highest common factor of 1027,5776, we have to find the factors of both numbers and list the highest common factor.
The factors of 1027 are 1, 13, 79, 1027
The factors of 5776 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 304, 361, 722, 1444, 2888, 5776
The HCF of 1027,5776 is 1.
Lets's calculate GCF of 1027,5776
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1027,5776 By Matching Biggest Common Factor Method
Now, list down the factors of 1027
:1,13,79,1027
Now, list down the factors of 5776
:1,2,4,8,16,19,38,76,152,304,361,722,1444,2888,5776
Greatest Common Factor
We found the factors 1027,5776 . The biggest common factor number is the GCF number.
So the greatest common factor 1027,5776 is 1.
Lets's calculate LCM of 944,1454
| 2 | 944, 1454 |
| 472, 727 |
∴ So the LCM of the given numbers is 2 x 472 x 727 = 686288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/686288
Therefore, the GCF of Fractions 1027/944,5776/1454 is 1/686288
Least Common Multiple of 944,1454 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 944,1454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(944,1454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(944,1454) x common factors =2 x 1 = 2
LCM(944,1454) = ( 944 × 1454 ) / 2
LCM(944,1454) = 1372576 / 2
LCM(944,1454) = 686288
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FAQs on GCF of Fractions of 1027/944, 5776/1454
1. What is the HCF of 1027,5776?
The HCF of 1027,5776 is 1
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 1027/944, 5776/1454?
Answer: GCF of Numerators as per given numbers 1027/944, 5776/1454 is
GCF of Numerators i.e. for 1027,5776 is 1
LCM of denominators i.e. for 944,1454 is 686288.
Thus, GCF of Fractions is 1/686288.Finally, GCF of Fractions for 1027/944, 5776/1454 is 1/686288.