GCF of 9129/122, 2722/5142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9129/122, 2722/5142 i.e 1/313662 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9129/122, 2722/5142.
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 9129/122,2722/5142?
Given fractions are 9129/122,2722/5142
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 9129/122,2722/5142, numerators are 9129,2722
Denominators are 122,5142
The GCF of 9129,2722 is 1 .
LCM of 122,5142 is 313662.
The greatest common factor of 9129/122,2722/5142 = [GCF of 9129,2722]/[LCM of 122,5142]= 1/313662
Therefore, the GCF of 9129/122,2722/5142 is 1/313662.
To find the highest common factor of 9129,2722, we have to find the factors of both numbers and list the highest common factor.
The factors of 9129 are 1, 3, 17, 51, 179, 537, 3043, 9129
The factors of 2722 are 1, 2, 1361, 2722
The HCF of 9129,2722 is 1.
Lets's calculate GCF of 9129,2722
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9129,2722 By Matching Biggest Common Factor Method
Now, list down the factors of 9129
:1,3,17,51,179,537,3043,9129
Now, list down the factors of 2722
:1,2,1361,2722
Greatest Common Factor
We found the factors 9129,2722 . The biggest common factor number is the GCF number.
So the greatest common factor 9129,2722 is 1.
Lets's calculate LCM of 122,5142
| 2 | 122, 5142 |
| 61, 2571 |
∴ So the LCM of the given numbers is 2 x 61 x 2571 = 313662
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/313662
Therefore, the GCF of Fractions 9129/122,2722/5142 is 1/313662
Least Common Multiple of 122,5142 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 122,5142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(122,5142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(122,5142) x common factors =2 x 1 = 2
LCM(122,5142) = ( 122 × 5142 ) / 2
LCM(122,5142) = 627324 / 2
LCM(122,5142) = 313662
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FAQs on GCF of Fractions of 9129/122, 2722/5142
1. What is the HCF of 9129,2722?
The HCF of 9129,2722 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 9129/122, 2722/5142?
Answer: GCF of Numerators as per given numbers 9129/122, 2722/5142 is
GCF of Numerators i.e. for 9129,2722 is 1
LCM of denominators i.e. for 122,5142 is 313662.
Thus, GCF of Fractions is 1/313662.Finally, GCF of Fractions for 9129/122, 2722/5142 is 1/313662.