GCF of 9646/498, 2652/4168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9646/498, 2652/4168 i.e 26/1037832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9646/498, 2652/4168.
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 9646/498,2652/4168?
Given fractions are 9646/498,2652/4168
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 9646/498,2652/4168, numerators are 9646,2652
Denominators are 498,4168
The GCF of 9646,2652 is 26 .
LCM of 498,4168 is 1037832.
The greatest common factor of 9646/498,2652/4168 = [GCF of 9646,2652]/[LCM of 498,4168]= 26/1037832
Therefore, the GCF of 9646/498,2652/4168 is 26/1037832.
To find the highest common factor of 9646,2652, we have to find the factors of both numbers and list the highest common factor.
The factors of 9646 are 1, 2, 7, 13, 14, 26, 53, 91, 106, 182, 371, 689, 742, 1378, 4823, 9646
The factors of 2652 are 1, 2, 3, 4, 6, 12, 13, 17, 26, 34, 39, 51, 52, 68, 78, 102, 156, 204, 221, 442, 663, 884, 1326, 2652
The HCF of 9646,2652 is 26.
Lets's calculate GCF of 9646,2652
| 2 | 9646, 2652 |
| 13 | 4823, 1326 |
| 371, 102 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 9646,2652 By Matching Biggest Common Factor Method
Now, list down the factors of 9646
:1,2,7,13,14,26,53,91,106,182,371,689,742,1378,4823,9646
Now, list down the factors of 2652
:1,2,3,4,6,12,13,17,26,34,39,51,52,68,78,102,156,204,221,442,663,884,1326,2652
Greatest Common Factor
We found the factors 9646,2652 . The biggest common factor number is the GCF number.
So the greatest common factor 9646,2652 is 26.
Lets's calculate LCM of 498,4168
| 2 | 498, 4168 |
| 249, 2084 |
∴ So the LCM of the given numbers is 2 x 249 x 2084 = 1037832
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/1037832
Therefore, the GCF of Fractions 9646/498,2652/4168 is 26/1037832
Least Common Multiple of 498,4168 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 498,4168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(498,4168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(498,4168) x common factors =2 x 1 = 2
LCM(498,4168) = ( 498 × 4168 ) / 2
LCM(498,4168) = 2075664 / 2
LCM(498,4168) = 1037832
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FAQs on GCF of Fractions of 9646/498, 2652/4168
1. What is the HCF of 9646,2652?
The HCF of 9646,2652 is 26
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 9646/498, 2652/4168?
Answer: GCF of Numerators as per given numbers 9646/498, 2652/4168 is
GCF of Numerators i.e. for 9646,2652 is 26
LCM of denominators i.e. for 498,4168 is 1037832.
Thus, GCF of Fractions is 26/1037832.Finally, GCF of Fractions for 9646/498, 2652/4168 is 26/1037832.