GCF of 2502/214, 9234/646
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2502/214, 9234/646 i.e 18/69122 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2502/214, 9234/646.
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 2502/214,9234/646?
Given fractions are 2502/214,9234/646
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 2502/214,9234/646, numerators are 2502,9234
Denominators are 214,646
The GCF of 2502,9234 is 18 .
LCM of 214,646 is 69122.
The greatest common factor of 2502/214,9234/646 = [GCF of 2502,9234]/[LCM of 214,646]= 18/69122
Therefore, the GCF of 2502/214,9234/646 is 18/69122.
To find the highest common factor of 2502,9234, we have to find the factors of both numbers and list the highest common factor.
The factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502
The factors of 9234 are 1, 2, 3, 6, 9, 18, 19, 27, 38, 54, 57, 81, 114, 162, 171, 243, 342, 486, 513, 1026, 1539, 3078, 4617, 9234
The HCF of 2502,9234 is 18.
Lets's calculate GCF of 2502,9234
| 2 | 2502, 9234 |
| 3 | 1251, 4617 |
| 3 | 417, 1539 |
| 139, 513 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2502,9234 By Matching Biggest Common Factor Method
Now, list down the factors of 2502
:1,2,3,6,9,18,139,278,417,834,1251,2502
Now, list down the factors of 9234
:1,2,3,6,9,18,19,27,38,54,57,81,114,162,171,243,342,486,513,1026,1539,3078,4617,9234
Greatest Common Factor
We found the factors 2502,9234 . The biggest common factor number is the GCF number.
So the greatest common factor 2502,9234 is 18.
Lets's calculate LCM of 214,646
| 2 | 214, 646 |
| 107, 323 |
∴ So the LCM of the given numbers is 2 x 107 x 323 = 69122
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/69122
Therefore, the GCF of Fractions 2502/214,9234/646 is 18/69122
Least Common Multiple of 214,646 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 214,646 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(214,646) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(214,646) x common factors =2 x 1 = 2
LCM(214,646) = ( 214 × 646 ) / 2
LCM(214,646) = 138244 / 2
LCM(214,646) = 69122
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FAQs on GCF of Fractions of 2502/214, 9234/646
1. What is the HCF of 2502,9234?
The HCF of 2502,9234 is 18
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 2502/214, 9234/646?
Answer: GCF of Numerators as per given numbers 2502/214, 9234/646 is
GCF of Numerators i.e. for 2502,9234 is 18
LCM of denominators i.e. for 214,646 is 69122.
Thus, GCF of Fractions is 18/69122.Finally, GCF of Fractions for 2502/214, 9234/646 is 18/69122.