GCF of 7497/963, 5145/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7497/963, 5145/509 i.e 147/490167 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7497/963, 5145/509.
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 7497/963,5145/509?
Given fractions are 7497/963,5145/509
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 7497/963,5145/509, numerators are 7497,5145
Denominators are 963,509
The GCF of 7497,5145 is 147 .
LCM of 963,509 is 490167.
The greatest common factor of 7497/963,5145/509 = [GCF of 7497,5145]/[LCM of 963,509]= 147/490167
Therefore, the GCF of 7497/963,5145/509 is 147/490167.
To find the highest common factor of 7497,5145, we have to find the factors of both numbers and list the highest common factor.
The factors of 7497 are 1, 3, 7, 9, 17, 21, 49, 51, 63, 119, 147, 153, 357, 441, 833, 1071, 2499, 7497
The factors of 5145 are 1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 343, 735, 1029, 1715, 5145
The HCF of 7497,5145 is 147.
Lets's calculate GCF of 7497,5145
| 3 | 7497, 5145 |
| 7 | 2499, 1715 |
| 7 | 357, 245 |
| 51, 35 |
∴ So the GCF of the given numbers is 3 x 7 x 7 = 147
Greatest Common Factor of 7497,5145 By Matching Biggest Common Factor Method
Now, list down the factors of 7497
:1,3,7,9,17,21,49,51,63,119,147,153,357,441,833,1071,2499,7497
Now, list down the factors of 5145
:1,3,5,7,15,21,35,49,105,147,245,343,735,1029,1715,5145
Greatest Common Factor
We found the factors 7497,5145 . The biggest common factor number is the GCF number.
So the greatest common factor 7497,5145 is 147.
Lets's calculate LCM of 963,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 490167
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 147/490167
Therefore, the GCF of Fractions 7497/963,5145/509 is 147/490167
Least Common Multiple of 963,509 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 963,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(963,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(963,509) x common factors =1 x 1 = 1
LCM(963,509) = ( 963 × 509 ) / 1
LCM(963,509) = 490167 / 1
LCM(963,509) = 490167
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FAQs on GCF of Fractions of 7497/963, 5145/509
1. What is the HCF of 7497,5145?
The HCF of 7497,5145 is 147
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 7497/963, 5145/509?
Answer: GCF of Numerators as per given numbers 7497/963, 5145/509 is
GCF of Numerators i.e. for 7497,5145 is 147
LCM of denominators i.e. for 963,509 is 490167.
Thus, GCF of Fractions is 147/490167.Finally, GCF of Fractions for 7497/963, 5145/509 is 147/490167.