GCF of 9199/542, 7527/4090
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9199/542, 7527/4090 i.e 1/1108390 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9199/542, 7527/4090.
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 9199/542,7527/4090?
Given fractions are 9199/542,7527/4090
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 9199/542,7527/4090, numerators are 9199,7527
Denominators are 542,4090
The GCF of 9199,7527 is 1 .
LCM of 542,4090 is 1108390.
The greatest common factor of 9199/542,7527/4090 = [GCF of 9199,7527]/[LCM of 542,4090]= 1/1108390
Therefore, the GCF of 9199/542,7527/4090 is 1/1108390.
To find the highest common factor of 9199,7527, we have to find the factors of both numbers and list the highest common factor.
The factors of 9199 are 1, 9199
The factors of 7527 are 1, 3, 13, 39, 193, 579, 2509, 7527
The HCF of 9199,7527 is 1.
Lets's calculate GCF of 9199,7527
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9199,7527 By Matching Biggest Common Factor Method
Now, list down the factors of 9199
:1,9199
Now, list down the factors of 7527
:1,3,13,39,193,579,2509,7527
Greatest Common Factor
We found the factors 9199,7527 . The biggest common factor number is the GCF number.
So the greatest common factor 9199,7527 is 1.
Lets's calculate LCM of 542,4090
| 2 | 542, 4090 |
| 271, 2045 |
∴ So the LCM of the given numbers is 2 x 271 x 2045 = 1108390
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1108390
Therefore, the GCF of Fractions 9199/542,7527/4090 is 1/1108390
Least Common Multiple of 542,4090 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 542,4090 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(542,4090) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(542,4090) x common factors =2 x 1 = 2
LCM(542,4090) = ( 542 × 4090 ) / 2
LCM(542,4090) = 2216780 / 2
LCM(542,4090) = 1108390
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FAQs on GCF of Fractions of 9199/542, 7527/4090
1. What is the HCF of 9199,7527?
The HCF of 9199,7527 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 9199/542, 7527/4090?
Answer: GCF of Numerators as per given numbers 9199/542, 7527/4090 is
GCF of Numerators i.e. for 9199,7527 is 1
LCM of denominators i.e. for 542,4090 is 1108390.
Thus, GCF of Fractions is 1/1108390.Finally, GCF of Fractions for 9199/542, 7527/4090 is 1/1108390.