GCF of 7644/945, 4582/9527
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7644/945, 4582/9527 i.e 2/1286145 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7644/945, 4582/9527.
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 7644/945,4582/9527?
Given fractions are 7644/945,4582/9527
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 7644/945,4582/9527, numerators are 7644,4582
Denominators are 945,9527
The GCF of 7644,4582 is 2 .
LCM of 945,9527 is 1286145.
The greatest common factor of 7644/945,4582/9527 = [GCF of 7644,4582]/[LCM of 945,9527]= 2/1286145
Therefore, the GCF of 7644/945,4582/9527 is 2/1286145.
To find the highest common factor of 7644,4582, 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 4582 are 1, 2, 29, 58, 79, 158, 2291, 4582
The HCF of 7644,4582 is 2.
Lets's calculate GCF of 7644,4582
| 2 | 7644, 4582 |
| 3822, 2291 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7644,4582 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 4582
:1,2,29,58,79,158,2291,4582
Greatest Common Factor
We found the factors 7644,4582 . The biggest common factor number is the GCF number.
So the greatest common factor 7644,4582 is 2.
Lets's calculate LCM of 945,9527
| 7 | 945, 9527 |
| 135, 1361 |
∴ So the LCM of the given numbers is 7 x 135 x 1361 = 1286145
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1286145
Therefore, the GCF of Fractions 7644/945,4582/9527 is 2/1286145
Least Common Multiple of 945,9527 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 945,9527 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(945,9527) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(945,9527) x common factors =7 x 1 = 7
LCM(945,9527) = ( 945 × 9527 ) / 7
LCM(945,9527) = 9003015 / 7
LCM(945,9527) = 1286145
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FAQs on GCF of Fractions of 7644/945, 4582/9527
1. What is the HCF of 7644,4582?
The HCF of 7644,4582 is 2
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 7644/945, 4582/9527?
Answer: GCF of Numerators as per given numbers 7644/945, 4582/9527 is
GCF of Numerators i.e. for 7644,4582 is 2
LCM of denominators i.e. for 945,9527 is 1286145.
Thus, GCF of Fractions is 2/1286145.Finally, GCF of Fractions for 7644/945, 4582/9527 is 2/1286145.