GCF of 2604/324, 7644/931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2604/324, 7644/931 i.e 84/301644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2604/324, 7644/931.
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 2604/324,7644/931?
Given fractions are 2604/324,7644/931
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 2604/324,7644/931, numerators are 2604,7644
Denominators are 324,931
The GCF of 2604,7644 is 84 .
LCM of 324,931 is 301644.
The greatest common factor of 2604/324,7644/931 = [GCF of 2604,7644]/[LCM of 324,931]= 84/301644
Therefore, the GCF of 2604/324,7644/931 is 84/301644.
To find the highest common factor of 2604,7644, we have to find the factors of both numbers and list the highest common factor.
The factors of 2604 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 31, 42, 62, 84, 93, 124, 186, 217, 372, 434, 651, 868, 1302, 2604
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 2604,7644 is 84.
Lets's calculate GCF of 2604,7644
| 2 | 2604, 7644 |
| 2 | 1302, 3822 |
| 3 | 651, 1911 |
| 7 | 217, 637 |
| 31, 91 |
∴ So the GCF of the given numbers is 2 x 2 x 3 x 7 = 84
Greatest Common Factor of 2604,7644 By Matching Biggest Common Factor Method
Now, list down the factors of 2604
:1,2,3,4,6,7,12,14,21,28,31,42,62,84,93,124,186,217,372,434,651,868,1302,2604
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 2604,7644 . The biggest common factor number is the GCF number.
So the greatest common factor 2604,7644 is 84.
Lets's calculate LCM of 324,931
Given numbers has no common factors except 1. So, there LCM is their product i.e 301644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 84/301644
Therefore, the GCF of Fractions 2604/324,7644/931 is 84/301644
Least Common Multiple of 324,931 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 324,931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(324,931) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(324,931) x common factors =1 x 1 = 1
LCM(324,931) = ( 324 × 931 ) / 1
LCM(324,931) = 301644 / 1
LCM(324,931) = 301644
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 2604/324, 7644/931
1. What is the HCF of 2604,7644?
The HCF of 2604,7644 is 84
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 2604/324, 7644/931?
Answer: GCF of Numerators as per given numbers 2604/324, 7644/931 is
GCF of Numerators i.e. for 2604,7644 is 84
LCM of denominators i.e. for 324,931 is 301644.
Thus, GCF of Fractions is 84/301644.Finally, GCF of Fractions for 2604/324, 7644/931 is 84/301644.