GCF of 5591/542, 7518/4741
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5591/542, 7518/4741 i.e 1/2569622 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5591/542, 7518/4741.
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 5591/542,7518/4741?
Given fractions are 5591/542,7518/4741
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 5591/542,7518/4741, numerators are 5591,7518
Denominators are 542,4741
The GCF of 5591,7518 is 1 .
LCM of 542,4741 is 2569622.
The greatest common factor of 5591/542,7518/4741 = [GCF of 5591,7518]/[LCM of 542,4741]= 1/2569622
Therefore, the GCF of 5591/542,7518/4741 is 1/2569622.
To find the highest common factor of 5591,7518, we have to find the factors of both numbers and list the highest common factor.
The factors of 5591 are 1, 5591
The factors of 7518 are 1, 2, 3, 6, 7, 14, 21, 42, 179, 358, 537, 1074, 1253, 2506, 3759, 7518
The HCF of 5591,7518 is 1.
Lets's calculate GCF of 5591,7518
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5591,7518 By Matching Biggest Common Factor Method
Now, list down the factors of 5591
:1,5591
Now, list down the factors of 7518
:1,2,3,6,7,14,21,42,179,358,537,1074,1253,2506,3759,7518
Greatest Common Factor
We found the factors 5591,7518 . The biggest common factor number is the GCF number.
So the greatest common factor 5591,7518 is 1.
Lets's calculate LCM of 542,4741
Given numbers has no common factors except 1. So, there LCM is their product i.e 2569622
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2569622
Therefore, the GCF of Fractions 5591/542,7518/4741 is 1/2569622
Least Common Multiple of 542,4741 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 542,4741 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,4741) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(542,4741) x common factors =1 x 1 = 1
LCM(542,4741) = ( 542 × 4741 ) / 1
LCM(542,4741) = 2569622 / 1
LCM(542,4741) = 2569622
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FAQs on GCF of Fractions of 5591/542, 7518/4741
1. What is the HCF of 5591,7518?
The HCF of 5591,7518 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 5591/542, 7518/4741?
Answer: GCF of Numerators as per given numbers 5591/542, 7518/4741 is
GCF of Numerators i.e. for 5591,7518 is 1
LCM of denominators i.e. for 542,4741 is 2569622.
Thus, GCF of Fractions is 1/2569622.Finally, GCF of Fractions for 5591/542, 7518/4741 is 1/2569622.