GCF of 4633/353, 9828/769
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4633/353, 9828/769 i.e 1/271457 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4633/353, 9828/769.
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 4633/353,9828/769?
Given fractions are 4633/353,9828/769
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 4633/353,9828/769, numerators are 4633,9828
Denominators are 353,769
The GCF of 4633,9828 is 1 .
LCM of 353,769 is 271457.
The greatest common factor of 4633/353,9828/769 = [GCF of 4633,9828]/[LCM of 353,769]= 1/271457
Therefore, the GCF of 4633/353,9828/769 is 1/271457.
To find the highest common factor of 4633,9828, we have to find the factors of both numbers and list the highest common factor.
The factors of 4633 are 1, 41, 113, 4633
The factors of 9828 are 1, 2, 3, 4, 6, 7, 9, 12, 13, 14, 18, 21, 26, 27, 28, 36, 39, 42, 52, 54, 63, 78, 84, 91, 108, 117, 126, 156, 182, 189, 234, 252, 273, 351, 364, 378, 468, 546, 702, 756, 819, 1092, 1404, 1638, 2457, 3276, 4914, 9828
The HCF of 4633,9828 is 1.
Lets's calculate GCF of 4633,9828
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4633,9828 By Matching Biggest Common Factor Method
Now, list down the factors of 4633
:1,41,113,4633
Now, list down the factors of 9828
:1,2,3,4,6,7,9,12,13,14,18,21,26,27,28,36,39,42,52,54,63,78,84,91,108,117,126,156,182,189,234,252,273,351,364,378,468,546,702,756,819,1092,1404,1638,2457,3276,4914,9828
Greatest Common Factor
We found the factors 4633,9828 . The biggest common factor number is the GCF number.
So the greatest common factor 4633,9828 is 1.
Lets's calculate LCM of 353,769
Given numbers has no common factors except 1. So, there LCM is their product i.e 271457
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/271457
Therefore, the GCF of Fractions 4633/353,9828/769 is 1/271457
Least Common Multiple of 353,769 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 353,769 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(353,769) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(353,769) x common factors =1 x 1 = 1
LCM(353,769) = ( 353 × 769 ) / 1
LCM(353,769) = 271457 / 1
LCM(353,769) = 271457
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FAQs on GCF of Fractions of 4633/353, 9828/769
1. What is the HCF of 4633,9828?
The HCF of 4633,9828 is 1
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 4633/353, 9828/769?
Answer: GCF of Numerators as per given numbers 4633/353, 9828/769 is
GCF of Numerators i.e. for 4633,9828 is 1
LCM of denominators i.e. for 353,769 is 271457.
Thus, GCF of Fractions is 1/271457.Finally, GCF of Fractions for 4633/353, 9828/769 is 1/271457.