GCF of 9072/382, 7426/2518
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9072/382, 7426/2518 i.e 2/480938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9072/382, 7426/2518.
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 9072/382,7426/2518?
Given fractions are 9072/382,7426/2518
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 9072/382,7426/2518, numerators are 9072,7426
Denominators are 382,2518
The GCF of 9072,7426 is 2 .
LCM of 382,2518 is 480938.
The greatest common factor of 9072/382,7426/2518 = [GCF of 9072,7426]/[LCM of 382,2518]= 2/480938
Therefore, the GCF of 9072/382,7426/2518 is 2/480938.
To find the highest common factor of 9072,7426, 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 7426 are 1, 2, 47, 79, 94, 158, 3713, 7426
The HCF of 9072,7426 is 2.
Lets's calculate GCF of 9072,7426
| 2 | 9072, 7426 |
| 4536, 3713 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9072,7426 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 7426
:1,2,47,79,94,158,3713,7426
Greatest Common Factor
We found the factors 9072,7426 . The biggest common factor number is the GCF number.
So the greatest common factor 9072,7426 is 2.
Lets's calculate LCM of 382,2518
| 2 | 382, 2518 |
| 191, 1259 |
∴ So the LCM of the given numbers is 2 x 191 x 1259 = 480938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/480938
Therefore, the GCF of Fractions 9072/382,7426/2518 is 2/480938
Least Common Multiple of 382,2518 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 382,2518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(382,2518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(382,2518) x common factors =2 x 1 = 2
LCM(382,2518) = ( 382 × 2518 ) / 2
LCM(382,2518) = 961876 / 2
LCM(382,2518) = 480938
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FAQs on GCF of Fractions of 9072/382, 7426/2518
1. What is the HCF of 9072,7426?
The HCF of 9072,7426 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 9072/382, 7426/2518?
Answer: GCF of Numerators as per given numbers 9072/382, 7426/2518 is
GCF of Numerators i.e. for 9072,7426 is 2
LCM of denominators i.e. for 382,2518 is 480938.
Thus, GCF of Fractions is 2/480938.Finally, GCF of Fractions for 9072/382, 7426/2518 is 2/480938.