GCF of 7644/638, 1339/957
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7644/638, 1339/957 i.e 13/1914 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7644/638, 1339/957.
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 7644/638,1339/957?
Given fractions are 7644/638,1339/957
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 7644/638,1339/957, numerators are 7644,1339
Denominators are 638,957
The GCF of 7644,1339 is 13 .
LCM of 638,957 is 1914.
The greatest common factor of 7644/638,1339/957 = [GCF of 7644,1339]/[LCM of 638,957]= 13/1914
Therefore, the GCF of 7644/638,1339/957 is 13/1914.
To find the highest common factor of 7644,1339, 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 1339 are 1, 13, 103, 1339
The HCF of 7644,1339 is 13.
Lets's calculate GCF of 7644,1339
| 13 | 7644, 1339 |
| 588, 103 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 7644,1339 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 1339
:1,13,103,1339
Greatest Common Factor
We found the factors 7644,1339 . The biggest common factor number is the GCF number.
So the greatest common factor 7644,1339 is 13.
Lets's calculate LCM of 638,957
| 11 | 638, 957 |
| 29 | 58, 87 |
| 2, 3 |
∴ So the LCM of the given numbers is 11 x 29 x 2 x 3 = 1914
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1914
Therefore, the GCF of Fractions 7644/638,1339/957 is 13/1914
Least Common Multiple of 638,957 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 638,957 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,957) = 319
common factors(in case of two or more numbers have common factors) = 1
GCF(638,957) x common factors =319 x 1 = 319
LCM(638,957) = ( 638 × 957 ) / 319
LCM(638,957) = 610566 / 319
LCM(638,957) = 1914
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FAQs on GCF of Fractions of 7644/638, 1339/957
1. What is the HCF of 7644,1339?
The HCF of 7644,1339 is 13
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 7644/638, 1339/957?
Answer: GCF of Numerators as per given numbers 7644/638, 1339/957 is
GCF of Numerators i.e. for 7644,1339 is 13
LCM of denominators i.e. for 638,957 is 1914.
Thus, GCF of Fractions is 13/1914.Finally, GCF of Fractions for 7644/638, 1339/957 is 13/1914.