GCF of 5409/756, 1390/9851
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5409/756, 1390/9851 i.e 1/7447356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5409/756, 1390/9851.
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 5409/756,1390/9851?
Given fractions are 5409/756,1390/9851
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 5409/756,1390/9851, numerators are 5409,1390
Denominators are 756,9851
The GCF of 5409,1390 is 1 .
LCM of 756,9851 is 7447356.
The greatest common factor of 5409/756,1390/9851 = [GCF of 5409,1390]/[LCM of 756,9851]= 1/7447356
Therefore, the GCF of 5409/756,1390/9851 is 1/7447356.
To find the highest common factor of 5409,1390, we have to find the factors of both numbers and list the highest common factor.
The factors of 5409 are 1, 3, 9, 601, 1803, 5409
The factors of 1390 are 1, 2, 5, 10, 139, 278, 695, 1390
The HCF of 5409,1390 is 1.
Lets's calculate GCF of 5409,1390
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5409,1390 By Matching Biggest Common Factor Method
Now, list down the factors of 5409
:1,3,9,601,1803,5409
Now, list down the factors of 1390
:1,2,5,10,139,278,695,1390
Greatest Common Factor
We found the factors 5409,1390 . The biggest common factor number is the GCF number.
So the greatest common factor 5409,1390 is 1.
Lets's calculate LCM of 756,9851
Given numbers has no common factors except 1. So, there LCM is their product i.e 7447356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7447356
Therefore, the GCF of Fractions 5409/756,1390/9851 is 1/7447356
Least Common Multiple of 756,9851 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 756,9851 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,9851) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(756,9851) x common factors =1 x 1 = 1
LCM(756,9851) = ( 756 × 9851 ) / 1
LCM(756,9851) = 7447356 / 1
LCM(756,9851) = 7447356
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FAQs on GCF of Fractions of 5409/756, 1390/9851
1. What is the HCF of 5409,1390?
The HCF of 5409,1390 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 5409/756, 1390/9851?
Answer: GCF of Numerators as per given numbers 5409/756, 1390/9851 is
GCF of Numerators i.e. for 5409,1390 is 1
LCM of denominators i.e. for 756,9851 is 7447356.
Thus, GCF of Fractions is 1/7447356.Finally, GCF of Fractions for 5409/756, 1390/9851 is 1/7447356.