GCF of 5249/232, 9774/186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5249/232, 9774/186 i.e 181/21576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5249/232, 9774/186.
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 5249/232,9774/186?
Given fractions are 5249/232,9774/186
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 5249/232,9774/186, numerators are 5249,9774
Denominators are 232,186
The GCF of 5249,9774 is 181 .
LCM of 232,186 is 21576.
The greatest common factor of 5249/232,9774/186 = [GCF of 5249,9774]/[LCM of 232,186]= 181/21576
Therefore, the GCF of 5249/232,9774/186 is 181/21576.
To find the highest common factor of 5249,9774, we have to find the factors of both numbers and list the highest common factor.
The factors of 5249 are 1, 29, 181, 5249
The factors of 9774 are 1, 2, 3, 6, 9, 18, 27, 54, 181, 362, 543, 1086, 1629, 3258, 4887, 9774
The HCF of 5249,9774 is 181.
Lets's calculate GCF of 5249,9774
| 181 | 5249, 9774 |
| 29, 54 |
∴ So the GCF of the given numbers is 181 = 181
Greatest Common Factor of 5249,9774 By Matching Biggest Common Factor Method
Now, list down the factors of 5249
:1,29,181,5249
Now, list down the factors of 9774
:1,2,3,6,9,18,27,54,181,362,543,1086,1629,3258,4887,9774
Greatest Common Factor
We found the factors 5249,9774 . The biggest common factor number is the GCF number.
So the greatest common factor 5249,9774 is 181.
Lets's calculate LCM of 232,186
| 2 | 232, 186 |
| 116, 93 |
∴ So the LCM of the given numbers is 2 x 116 x 93 = 21576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 181/21576
Therefore, the GCF of Fractions 5249/232,9774/186 is 181/21576
Least Common Multiple of 232,186 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 232,186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(232,186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(232,186) x common factors =2 x 1 = 2
LCM(232,186) = ( 232 × 186 ) / 2
LCM(232,186) = 43152 / 2
LCM(232,186) = 21576
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FAQs on GCF of Fractions of 5249/232, 9774/186
1. What is the HCF of 5249,9774?
The HCF of 5249,9774 is 181
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 5249/232, 9774/186?
Answer: GCF of Numerators as per given numbers 5249/232, 9774/186 is
GCF of Numerators i.e. for 5249,9774 is 181
LCM of denominators i.e. for 232,186 is 21576.
Thus, GCF of Fractions is 181/21576.Finally, GCF of Fractions for 5249/232, 9774/186 is 181/21576.