GCF of 7644/118, 9653/291
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7644/118, 9653/291 i.e 49/34338 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7644/118, 9653/291.
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 7644/118,9653/291?
Given fractions are 7644/118,9653/291
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 7644/118,9653/291, numerators are 7644,9653
Denominators are 118,291
The GCF of 7644,9653 is 49 .
LCM of 118,291 is 34338.
The greatest common factor of 7644/118,9653/291 = [GCF of 7644,9653]/[LCM of 118,291]= 49/34338
Therefore, the GCF of 7644/118,9653/291 is 49/34338.
To find the highest common factor of 7644,9653, we have to find the factors of both numbers and list the highest common factor.
The factors of 7644 are 1, 2, 3, 4, 6, 7, 12, 13, 14, 21, 26, 28, 39, 42, 49, 52, 78, 84, 91, 98, 147, 156, 182, 196, 273, 294, 364, 546, 588, 637, 1092, 1274, 1911, 2548, 3822, 7644
The factors of 9653 are 1, 7, 49, 197, 1379, 9653
The HCF of 7644,9653 is 49.
Lets's calculate GCF of 7644,9653
| 7 | 7644, 9653 |
| 7 | 1092, 1379 |
| 156, 197 |
∴ So the GCF of the given numbers is 7 x 7 = 49
Greatest Common Factor of 7644,9653 By Matching Biggest Common Factor Method
Now, list down the factors of 7644
:1,2,3,4,6,7,12,13,14,21,26,28,39,42,49,52,78,84,91,98,147,156,182,196,273,294,364,546,588,637,1092,1274,1911,2548,3822,7644
Now, list down the factors of 9653
:1,7,49,197,1379,9653
Greatest Common Factor
We found the factors 7644,9653 . The biggest common factor number is the GCF number.
So the greatest common factor 7644,9653 is 49.
Lets's calculate LCM of 118,291
Given numbers has no common factors except 1. So, there LCM is their product i.e 34338
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 49/34338
Therefore, the GCF of Fractions 7644/118,9653/291 is 49/34338
Least Common Multiple of 118,291 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 118,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,291) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(118,291) x common factors =1 x 1 = 1
LCM(118,291) = ( 118 × 291 ) / 1
LCM(118,291) = 34338 / 1
LCM(118,291) = 34338
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FAQs on GCF of Fractions of 7644/118, 9653/291
1. What is the HCF of 7644,9653?
The HCF of 7644,9653 is 49
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 7644/118, 9653/291?
Answer: GCF of Numerators as per given numbers 7644/118, 9653/291 is
GCF of Numerators i.e. for 7644,9653 is 49
LCM of denominators i.e. for 118,291 is 34338.
Thus, GCF of Fractions is 49/34338.Finally, GCF of Fractions for 7644/118, 9653/291 is 49/34338.