GCF of 5173/317, 9072/1156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5173/317, 9072/1156 i.e 7/366452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5173/317, 9072/1156.
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 5173/317,9072/1156?
Given fractions are 5173/317,9072/1156
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 5173/317,9072/1156, numerators are 5173,9072
Denominators are 317,1156
The GCF of 5173,9072 is 7 .
LCM of 317,1156 is 366452.
The greatest common factor of 5173/317,9072/1156 = [GCF of 5173,9072]/[LCM of 317,1156]= 7/366452
Therefore, the GCF of 5173/317,9072/1156 is 7/366452.
To find the highest common factor of 5173,9072, we have to find the factors of both numbers and list the highest common factor.
The factors of 5173 are 1, 7, 739, 5173
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 HCF of 5173,9072 is 7.
Lets's calculate GCF of 5173,9072
| 7 | 5173, 9072 |
| 739, 1296 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 5173,9072 By Matching Biggest Common Factor Method
Now, list down the factors of 5173
:1,7,739,5173
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
Greatest Common Factor
We found the factors 5173,9072 . The biggest common factor number is the GCF number.
So the greatest common factor 5173,9072 is 7.
Lets's calculate LCM of 317,1156
Given numbers has no common factors except 1. So, there LCM is their product i.e 366452
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/366452
Therefore, the GCF of Fractions 5173/317,9072/1156 is 7/366452
Least Common Multiple of 317,1156 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 317,1156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,1156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,1156) x common factors =1 x 1 = 1
LCM(317,1156) = ( 317 × 1156 ) / 1
LCM(317,1156) = 366452 / 1
LCM(317,1156) = 366452
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FAQs on GCF of Fractions of 5173/317, 9072/1156
1. What is the HCF of 5173,9072?
The HCF of 5173,9072 is 7
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 5173/317, 9072/1156?
Answer: GCF of Numerators as per given numbers 5173/317, 9072/1156 is
GCF of Numerators i.e. for 5173,9072 is 7
LCM of denominators i.e. for 317,1156 is 366452.
Thus, GCF of Fractions is 7/366452.Finally, GCF of Fractions for 5173/317, 9072/1156 is 7/366452.