GCF of 5399/685, 7350/738
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5399/685, 7350/738 i.e 1/505530 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5399/685, 7350/738.
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 5399/685,7350/738?
Given fractions are 5399/685,7350/738
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 5399/685,7350/738, numerators are 5399,7350
Denominators are 685,738
The GCF of 5399,7350 is 1 .
LCM of 685,738 is 505530.
The greatest common factor of 5399/685,7350/738 = [GCF of 5399,7350]/[LCM of 685,738]= 1/505530
Therefore, the GCF of 5399/685,7350/738 is 1/505530.
To find the highest common factor of 5399,7350, we have to find the factors of both numbers and list the highest common factor.
The factors of 5399 are 1, 5399
The factors of 7350 are 1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 25, 30, 35, 42, 49, 50, 70, 75, 98, 105, 147, 150, 175, 210, 245, 294, 350, 490, 525, 735, 1050, 1225, 1470, 2450, 3675, 7350
The HCF of 5399,7350 is 1.
Lets's calculate GCF of 5399,7350
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5399,7350 By Matching Biggest Common Factor Method
Now, list down the factors of 5399
:1,5399
Now, list down the factors of 7350
:1,2,3,5,6,7,10,14,15,21,25,30,35,42,49,50,70,75,98,105,147,150,175,210,245,294,350,490,525,735,1050,1225,1470,2450,3675,7350
Greatest Common Factor
We found the factors 5399,7350 . The biggest common factor number is the GCF number.
So the greatest common factor 5399,7350 is 1.
Lets's calculate LCM of 685,738
Given numbers has no common factors except 1. So, there LCM is their product i.e 505530
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/505530
Therefore, the GCF of Fractions 5399/685,7350/738 is 1/505530
Least Common Multiple of 685,738 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 685,738 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(685,738) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(685,738) x common factors =1 x 1 = 1
LCM(685,738) = ( 685 × 738 ) / 1
LCM(685,738) = 505530 / 1
LCM(685,738) = 505530
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FAQs on GCF of Fractions of 5399/685, 7350/738
1. What is the HCF of 5399,7350?
The HCF of 5399,7350 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 5399/685, 7350/738?
Answer: GCF of Numerators as per given numbers 5399/685, 7350/738 is
GCF of Numerators i.e. for 5399,7350 is 1
LCM of denominators i.e. for 685,738 is 505530.
Thus, GCF of Fractions is 1/505530.Finally, GCF of Fractions for 5399/685, 7350/738 is 1/505530.