GCF of 2251/803, 1430/5956
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2251/803, 1430/5956 i.e 1/4782668 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2251/803, 1430/5956.
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 2251/803,1430/5956?
Given fractions are 2251/803,1430/5956
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 2251/803,1430/5956, numerators are 2251,1430
Denominators are 803,5956
The GCF of 2251,1430 is 1 .
LCM of 803,5956 is 4782668.
The greatest common factor of 2251/803,1430/5956 = [GCF of 2251,1430]/[LCM of 803,5956]= 1/4782668
Therefore, the GCF of 2251/803,1430/5956 is 1/4782668.
To find the highest common factor of 2251,1430, we have to find the factors of both numbers and list the highest common factor.
The factors of 2251 are 1, 2251
The factors of 1430 are 1, 2, 5, 10, 11, 13, 22, 26, 55, 65, 110, 130, 143, 286, 715, 1430
The HCF of 2251,1430 is 1.
Lets's calculate GCF of 2251,1430
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2251,1430 By Matching Biggest Common Factor Method
Now, list down the factors of 2251
:1,2251
Now, list down the factors of 1430
:1,2,5,10,11,13,22,26,55,65,110,130,143,286,715,1430
Greatest Common Factor
We found the factors 2251,1430 . The biggest common factor number is the GCF number.
So the greatest common factor 2251,1430 is 1.
Lets's calculate LCM of 803,5956
Given numbers has no common factors except 1. So, there LCM is their product i.e 4782668
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4782668
Therefore, the GCF of Fractions 2251/803,1430/5956 is 1/4782668
Least Common Multiple of 803,5956 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 803,5956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(803,5956) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(803,5956) x common factors =1 x 1 = 1
LCM(803,5956) = ( 803 × 5956 ) / 1
LCM(803,5956) = 4782668 / 1
LCM(803,5956) = 4782668
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FAQs on GCF of Fractions of 2251/803, 1430/5956
1. What is the HCF of 2251,1430?
The HCF of 2251,1430 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 2251/803, 1430/5956?
Answer: GCF of Numerators as per given numbers 2251/803, 1430/5956 is
GCF of Numerators i.e. for 2251,1430 is 1
LCM of denominators i.e. for 803,5956 is 4782668.
Thus, GCF of Fractions is 1/4782668.Finally, GCF of Fractions for 2251/803, 1430/5956 is 1/4782668.