GCF of 9072/934, 2682/5652
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9072/934, 2682/5652 i.e 18/2639484 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9072/934, 2682/5652.
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 9072/934,2682/5652?
Given fractions are 9072/934,2682/5652
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 9072/934,2682/5652, numerators are 9072,2682
Denominators are 934,5652
The GCF of 9072,2682 is 18 .
LCM of 934,5652 is 2639484.
The greatest common factor of 9072/934,2682/5652 = [GCF of 9072,2682]/[LCM of 934,5652]= 18/2639484
Therefore, the GCF of 9072/934,2682/5652 is 18/2639484.
To find the highest common factor of 9072,2682, we have to find the factors of both numbers and list the highest common factor.
The factors of 9072 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 16, 18, 21, 24, 27, 28, 36, 42, 48, 54, 56, 63, 72, 81, 84, 108, 112, 126, 144, 162, 168, 189, 216, 252, 324, 336, 378, 432, 504, 567, 648, 756, 1008, 1134, 1296, 1512, 2268, 3024, 4536, 9072
The factors of 2682 are 1, 2, 3, 6, 9, 18, 149, 298, 447, 894, 1341, 2682
The HCF of 9072,2682 is 18.
Lets's calculate GCF of 9072,2682
| 2 | 9072, 2682 |
| 3 | 4536, 1341 |
| 3 | 1512, 447 |
| 504, 149 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 9072,2682 By Matching Biggest Common Factor Method
Now, list down the factors of 9072
:1,2,3,4,6,7,8,9,12,14,16,18,21,24,27,28,36,42,48,54,56,63,72,81,84,108,112,126,144,162,168,189,216,252,324,336,378,432,504,567,648,756,1008,1134,1296,1512,2268,3024,4536,9072
Now, list down the factors of 2682
:1,2,3,6,9,18,149,298,447,894,1341,2682
Greatest Common Factor
We found the factors 9072,2682 . The biggest common factor number is the GCF number.
So the greatest common factor 9072,2682 is 18.
Lets's calculate LCM of 934,5652
| 2 | 934, 5652 |
| 467, 2826 |
∴ So the LCM of the given numbers is 2 x 467 x 2826 = 2639484
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/2639484
Therefore, the GCF of Fractions 9072/934,2682/5652 is 18/2639484
Least Common Multiple of 934,5652 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 934,5652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,5652) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(934,5652) x common factors =2 x 1 = 2
LCM(934,5652) = ( 934 × 5652 ) / 2
LCM(934,5652) = 5278968 / 2
LCM(934,5652) = 2639484
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FAQs on GCF of Fractions of 9072/934, 2682/5652
1. What is the HCF of 9072,2682?
The HCF of 9072,2682 is 18
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 9072/934, 2682/5652?
Answer: GCF of Numerators as per given numbers 9072/934, 2682/5652 is
GCF of Numerators i.e. for 9072,2682 is 18
LCM of denominators i.e. for 934,5652 is 2639484.
Thus, GCF of Fractions is 18/2639484.Finally, GCF of Fractions for 9072/934, 2682/5652 is 18/2639484.