GCF of 3261/626, 7644/3186
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3261/626, 7644/3186 i.e 3/997218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3261/626, 7644/3186.
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 3261/626,7644/3186?
Given fractions are 3261/626,7644/3186
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 3261/626,7644/3186, numerators are 3261,7644
Denominators are 626,3186
The GCF of 3261,7644 is 3 .
LCM of 626,3186 is 997218.
The greatest common factor of 3261/626,7644/3186 = [GCF of 3261,7644]/[LCM of 626,3186]= 3/997218
Therefore, the GCF of 3261/626,7644/3186 is 3/997218.
To find the highest common factor of 3261,7644, we have to find the factors of both numbers and list the highest common factor.
The factors of 3261 are 1, 3, 1087, 3261
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 HCF of 3261,7644 is 3.
Lets's calculate GCF of 3261,7644
| 3 | 3261, 7644 |
| 1087, 2548 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3261,7644 By Matching Biggest Common Factor Method
Now, list down the factors of 3261
:1,3,1087,3261
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
Greatest Common Factor
We found the factors 3261,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 3261,7644 is 3.
Lets's calculate LCM of 626,3186
| 2 | 626, 3186 |
| 313, 1593 |
∴ So the LCM of the given numbers is 2 x 313 x 1593 = 997218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/997218
Therefore, the GCF of Fractions 3261/626,7644/3186 is 3/997218
Least Common Multiple of 626,3186 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 626,3186 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(626,3186) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(626,3186) x common factors =2 x 1 = 2
LCM(626,3186) = ( 626 × 3186 ) / 2
LCM(626,3186) = 1994436 / 2
LCM(626,3186) = 997218
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FAQs on GCF of Fractions of 3261/626, 7644/3186
1. What is the HCF of 3261,7644?
The HCF of 3261,7644 is 3
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 3261/626, 7644/3186?
Answer: GCF of Numerators as per given numbers 3261/626, 7644/3186 is
GCF of Numerators i.e. for 3261,7644 is 3
LCM of denominators i.e. for 626,3186 is 997218.
Thus, GCF of Fractions is 3/997218.Finally, GCF of Fractions for 3261/626, 7644/3186 is 3/997218.