GCF of 7240/345, 5167/4033
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7240/345, 5167/4033 i.e 1/1391385 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7240/345, 5167/4033.
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 7240/345,5167/4033?
Given fractions are 7240/345,5167/4033
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 7240/345,5167/4033, numerators are 7240,5167
Denominators are 345,4033
The GCF of 7240,5167 is 1 .
LCM of 345,4033 is 1391385.
The greatest common factor of 7240/345,5167/4033 = [GCF of 7240,5167]/[LCM of 345,4033]= 1/1391385
Therefore, the GCF of 7240/345,5167/4033 is 1/1391385.
To find the highest common factor of 7240,5167, we have to find the factors of both numbers and list the highest common factor.
The factors of 7240 are 1, 2, 4, 5, 8, 10, 20, 40, 181, 362, 724, 905, 1448, 1810, 3620, 7240
The factors of 5167 are 1, 5167
The HCF of 7240,5167 is 1.
Lets's calculate GCF of 7240,5167
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7240,5167 By Matching Biggest Common Factor Method
Now, list down the factors of 7240
:1,2,4,5,8,10,20,40,181,362,724,905,1448,1810,3620,7240
Now, list down the factors of 5167
:1,5167
Greatest Common Factor
We found the factors 7240,5167 . The biggest common factor number is the GCF number.
So the greatest common factor 7240,5167 is 1.
Lets's calculate LCM of 345,4033
Given numbers has no common factors except 1. So, there LCM is their product i.e 1391385
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1391385
Therefore, the GCF of Fractions 7240/345,5167/4033 is 1/1391385
Least Common Multiple of 345,4033 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 345,4033 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(345,4033) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(345,4033) x common factors =1 x 1 = 1
LCM(345,4033) = ( 345 × 4033 ) / 1
LCM(345,4033) = 1391385 / 1
LCM(345,4033) = 1391385
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FAQs on GCF of Fractions of 7240/345, 5167/4033
1. What is the HCF of 7240,5167?
The HCF of 7240,5167 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 7240/345, 5167/4033?
Answer: GCF of Numerators as per given numbers 7240/345, 5167/4033 is
GCF of Numerators i.e. for 7240,5167 is 1
LCM of denominators i.e. for 345,4033 is 1391385.
Thus, GCF of Fractions is 1/1391385.Finally, GCF of Fractions for 7240/345, 5167/4033 is 1/1391385.