GCF of 9072/892, 2751/822
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9072/892, 2751/822 i.e 21/366612 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9072/892, 2751/822.
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 9072/892,2751/822?
Given fractions are 9072/892,2751/822
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 9072/892,2751/822, numerators are 9072,2751
Denominators are 892,822
The GCF of 9072,2751 is 21 .
LCM of 892,822 is 366612.
The greatest common factor of 9072/892,2751/822 = [GCF of 9072,2751]/[LCM of 892,822]= 21/366612
Therefore, the GCF of 9072/892,2751/822 is 21/366612.
To find the highest common factor of 9072,2751, 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 2751 are 1, 3, 7, 21, 131, 393, 917, 2751
The HCF of 9072,2751 is 21.
Lets's calculate GCF of 9072,2751
| 3 | 9072, 2751 |
| 7 | 3024, 917 |
| 432, 131 |
∴ So the GCF of the given numbers is 3 x 7 = 21
Greatest Common Factor of 9072,2751 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 2751
:1,3,7,21,131,393,917,2751
Greatest Common Factor
We found the factors 9072,2751 . The biggest common factor number is the GCF number.
So the greatest common factor 9072,2751 is 21.
Lets's calculate LCM of 892,822
| 2 | 892, 822 |
| 446, 411 |
∴ So the LCM of the given numbers is 2 x 446 x 411 = 366612
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 21/366612
Therefore, the GCF of Fractions 9072/892,2751/822 is 21/366612
Least Common Multiple of 892,822 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 892,822 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(892,822) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(892,822) x common factors =2 x 1 = 2
LCM(892,822) = ( 892 × 822 ) / 2
LCM(892,822) = 733224 / 2
LCM(892,822) = 366612
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9072/892, 2751/822
1. What is the HCF of 9072,2751?
The HCF of 9072,2751 is 21
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 9072/892, 2751/822?
Answer: GCF of Numerators as per given numbers 9072/892, 2751/822 is
GCF of Numerators i.e. for 9072,2751 is 21
LCM of denominators i.e. for 892,822 is 366612.
Thus, GCF of Fractions is 21/366612.Finally, GCF of Fractions for 9072/892, 2751/822 is 21/366612.