GCF of 4976/116, 9129/5188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4976/116, 9129/5188 i.e 1/150452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4976/116, 9129/5188.
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 4976/116,9129/5188?
Given fractions are 4976/116,9129/5188
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 4976/116,9129/5188, numerators are 4976,9129
Denominators are 116,5188
The GCF of 4976,9129 is 1 .
LCM of 116,5188 is 150452.
The greatest common factor of 4976/116,9129/5188 = [GCF of 4976,9129]/[LCM of 116,5188]= 1/150452
Therefore, the GCF of 4976/116,9129/5188 is 1/150452.
To find the highest common factor of 4976,9129, we have to find the factors of both numbers and list the highest common factor.
The factors of 4976 are 1, 2, 4, 8, 16, 311, 622, 1244, 2488, 4976
The factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129
The HCF of 4976,9129 is 1.
Lets's calculate GCF of 4976,9129
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4976,9129 By Matching Biggest Common Factor Method
Now, list down the factors of 4976
:1,2,4,8,16,311,622,1244,2488,4976
Now, list down the factors of 9129
:1,3,17,51,179,537,3043,9129
Greatest Common Factor
We found the factors 4976,9129 . The biggest common factor number is the GCF number.
So the greatest common factor 4976,9129 is 1.
Lets's calculate LCM of 116,5188
| 2 | 116, 5188 |
| 2 | 58, 2594 |
| 29, 1297 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 1297 = 150452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/150452
Therefore, the GCF of Fractions 4976/116,9129/5188 is 1/150452
Least Common Multiple of 116,5188 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 116,5188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,5188) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,5188) x common factors =4 x 1 = 4
LCM(116,5188) = ( 116 × 5188 ) / 4
LCM(116,5188) = 601808 / 4
LCM(116,5188) = 150452
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FAQs on GCF of Fractions of 4976/116, 9129/5188
1. What is the HCF of 4976,9129?
The HCF of 4976,9129 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 4976/116, 9129/5188?
Answer: GCF of Numerators as per given numbers 4976/116, 9129/5188 is
GCF of Numerators i.e. for 4976,9129 is 1
LCM of denominators i.e. for 116,5188 is 150452.
Thus, GCF of Fractions is 1/150452.Finally, GCF of Fractions for 4976/116, 9129/5188 is 1/150452.