GCF of 1030/256, 5649/1427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1030/256, 5649/1427 i.e 1/365312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1030/256, 5649/1427.
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 1030/256,5649/1427?
Given fractions are 1030/256,5649/1427
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 1030/256,5649/1427, numerators are 1030,5649
Denominators are 256,1427
The GCF of 1030,5649 is 1 .
LCM of 256,1427 is 365312.
The greatest common factor of 1030/256,5649/1427 = [GCF of 1030,5649]/[LCM of 256,1427]= 1/365312
Therefore, the GCF of 1030/256,5649/1427 is 1/365312.
To find the highest common factor of 1030,5649, we have to find the factors of both numbers and list the highest common factor.
The factors of 1030 are 1, 2, 5, 10, 103, 206, 515, 1030
The factors of 5649 are 1, 3, 7, 21, 269, 807, 1883, 5649
The HCF of 1030,5649 is 1.
Lets's calculate GCF of 1030,5649
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1030,5649 By Matching Biggest Common Factor Method
Now, list down the factors of 1030
:1,2,5,10,103,206,515,1030
Now, list down the factors of 5649
:1,3,7,21,269,807,1883,5649
Greatest Common Factor
We found the factors 1030,5649 . The biggest common factor number is the GCF number.
So the greatest common factor 1030,5649 is 1.
Lets's calculate LCM of 256,1427
Given numbers has no common factors except 1. So, there LCM is their product i.e 365312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365312
Therefore, the GCF of Fractions 1030/256,5649/1427 is 1/365312
Least Common Multiple of 256,1427 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 256,1427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,1427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,1427) x common factors =1 x 1 = 1
LCM(256,1427) = ( 256 × 1427 ) / 1
LCM(256,1427) = 365312 / 1
LCM(256,1427) = 365312
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FAQs on GCF of Fractions of 1030/256, 5649/1427
1. What is the HCF of 1030,5649?
The HCF of 1030,5649 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 1030/256, 5649/1427?
Answer: GCF of Numerators as per given numbers 1030/256, 5649/1427 is
GCF of Numerators i.e. for 1030,5649 is 1
LCM of denominators i.e. for 256,1427 is 365312.
Thus, GCF of Fractions is 1/365312.Finally, GCF of Fractions for 1030/256, 5649/1427 is 1/365312.