GCF of 7350/173, 2938/533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7350/173, 2938/533 i.e 2/92209 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7350/173, 2938/533.
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 7350/173,2938/533?
Given fractions are 7350/173,2938/533
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 7350/173,2938/533, numerators are 7350,2938
Denominators are 173,533
The GCF of 7350,2938 is 2 .
LCM of 173,533 is 92209.
The greatest common factor of 7350/173,2938/533 = [GCF of 7350,2938]/[LCM of 173,533]= 2/92209
Therefore, the GCF of 7350/173,2938/533 is 2/92209.
To find the highest common factor of 7350,2938, we have to find the factors of both numbers and list the highest common factor.
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 factors of 2938 are 1, 2, 13, 26, 113, 226, 1469, 2938
The HCF of 7350,2938 is 2.
Lets's calculate GCF of 7350,2938
| 2 | 7350, 2938 |
| 3675, 1469 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7350,2938 By Matching Biggest Common Factor Method
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
Now, list down the factors of 2938
:1,2,13,26,113,226,1469,2938
Greatest Common Factor
We found the factors 7350,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 7350,2938 is 2.
Lets's calculate LCM of 173,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 92209
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92209
Therefore, the GCF of Fractions 7350/173,2938/533 is 2/92209
Least Common Multiple of 173,533 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 173,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,533) x common factors =1 x 1 = 1
LCM(173,533) = ( 173 × 533 ) / 1
LCM(173,533) = 92209 / 1
LCM(173,533) = 92209
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7350/173, 2938/533
1. What is the HCF of 7350,2938?
The HCF of 7350,2938 is 2
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 7350/173, 2938/533?
Answer: GCF of Numerators as per given numbers 7350/173, 2938/533 is
GCF of Numerators i.e. for 7350,2938 is 2
LCM of denominators i.e. for 173,533 is 92209.
Thus, GCF of Fractions is 2/92209.Finally, GCF of Fractions for 7350/173, 2938/533 is 2/92209.