GCF of 5719/597, 1289/9428
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5719/597, 1289/9428 i.e 1/5628516 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5719/597, 1289/9428.
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 5719/597,1289/9428?
Given fractions are 5719/597,1289/9428
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 5719/597,1289/9428, numerators are 5719,1289
Denominators are 597,9428
The GCF of 5719,1289 is 1 .
LCM of 597,9428 is 5628516.
The greatest common factor of 5719/597,1289/9428 = [GCF of 5719,1289]/[LCM of 597,9428]= 1/5628516
Therefore, the GCF of 5719/597,1289/9428 is 1/5628516.
To find the highest common factor of 5719,1289, we have to find the factors of both numbers and list the highest common factor.
The factors of 5719 are 1, 7, 19, 43, 133, 301, 817, 5719
The factors of 1289 are 1, 1289
The HCF of 5719,1289 is 1.
Lets's calculate GCF of 5719,1289
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5719,1289 By Matching Biggest Common Factor Method
Now, list down the factors of 5719
:1,7,19,43,133,301,817,5719
Now, list down the factors of 1289
:1,1289
Greatest Common Factor
We found the factors 5719,1289 . The biggest common factor number is the GCF number.
So the greatest common factor 5719,1289 is 1.
Lets's calculate LCM of 597,9428
Given numbers has no common factors except 1. So, there LCM is their product i.e 5628516
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5628516
Therefore, the GCF of Fractions 5719/597,1289/9428 is 1/5628516
Least Common Multiple of 597,9428 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 597,9428 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(597,9428) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(597,9428) x common factors =1 x 1 = 1
LCM(597,9428) = ( 597 × 9428 ) / 1
LCM(597,9428) = 5628516 / 1
LCM(597,9428) = 5628516
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FAQs on GCF of Fractions of 5719/597, 1289/9428
1. What is the HCF of 5719,1289?
The HCF of 5719,1289 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 5719/597, 1289/9428?
Answer: GCF of Numerators as per given numbers 5719/597, 1289/9428 is
GCF of Numerators i.e. for 5719,1289 is 1
LCM of denominators i.e. for 597,9428 is 5628516.
Thus, GCF of Fractions is 1/5628516.Finally, GCF of Fractions for 5719/597, 1289/9428 is 1/5628516.