GCF of 2823/492, 8652/1732
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2823/492, 8652/1732 i.e 3/213036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2823/492, 8652/1732.
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 2823/492,8652/1732?
Given fractions are 2823/492,8652/1732
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 2823/492,8652/1732, numerators are 2823,8652
Denominators are 492,1732
The GCF of 2823,8652 is 3 .
LCM of 492,1732 is 213036.
The greatest common factor of 2823/492,8652/1732 = [GCF of 2823,8652]/[LCM of 492,1732]= 3/213036
Therefore, the GCF of 2823/492,8652/1732 is 3/213036.
To find the highest common factor of 2823,8652, we have to find the factors of both numbers and list the highest common factor.
The factors of 2823 are 1, 3, 941, 2823
The factors of 8652 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 103, 206, 309, 412, 618, 721, 1236, 1442, 2163, 2884, 4326, 8652
The HCF of 2823,8652 is 3.
Lets's calculate GCF of 2823,8652
| 3 | 2823, 8652 |
| 941, 2884 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2823,8652 By Matching Biggest Common Factor Method
Now, list down the factors of 2823
:1,3,941,2823
Now, list down the factors of 8652
:1,2,3,4,6,7,12,14,21,28,42,84,103,206,309,412,618,721,1236,1442,2163,2884,4326,8652
Greatest Common Factor
We found the factors 2823,8652 . The biggest common factor number is the GCF number.
So the greatest common factor 2823,8652 is 3.
Lets's calculate LCM of 492,1732
| 2 | 492, 1732 |
| 2 | 246, 866 |
| 123, 433 |
∴ So the LCM of the given numbers is 2 x 2 x 123 x 433 = 213036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/213036
Therefore, the GCF of Fractions 2823/492,8652/1732 is 3/213036
Least Common Multiple of 492,1732 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 492,1732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,1732) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(492,1732) x common factors =4 x 1 = 4
LCM(492,1732) = ( 492 × 1732 ) / 4
LCM(492,1732) = 852144 / 4
LCM(492,1732) = 213036
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FAQs on GCF of Fractions of 2823/492, 8652/1732
1. What is the HCF of 2823,8652?
The HCF of 2823,8652 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 2823/492, 8652/1732?
Answer: GCF of Numerators as per given numbers 2823/492, 8652/1732 is
GCF of Numerators i.e. for 2823,8652 is 3
LCM of denominators i.e. for 492,1732 is 213036.
Thus, GCF of Fractions is 3/213036.Finally, GCF of Fractions for 2823/492, 8652/1732 is 3/213036.