GCF of 7534/586, 2268/521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7534/586, 2268/521 i.e 2/305306 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7534/586, 2268/521.
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 7534/586,2268/521?
Given fractions are 7534/586,2268/521
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 7534/586,2268/521, numerators are 7534,2268
Denominators are 586,521
The GCF of 7534,2268 is 2 .
LCM of 586,521 is 305306.
The greatest common factor of 7534/586,2268/521 = [GCF of 7534,2268]/[LCM of 586,521]= 2/305306
Therefore, the GCF of 7534/586,2268/521 is 2/305306.
To find the highest common factor of 7534,2268, we have to find the factors of both numbers and list the highest common factor.
The factors of 7534 are 1, 2, 3767, 7534
The factors of 2268 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 81, 84, 108, 126, 162, 189, 252, 324, 378, 567, 756, 1134, 2268
The HCF of 7534,2268 is 2.
Lets's calculate GCF of 7534,2268
| 2 | 7534, 2268 |
| 3767, 1134 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7534,2268 By Matching Biggest Common Factor Method
Now, list down the factors of 7534
:1,2,3767,7534
Now, list down the factors of 2268
:1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,81,84,108,126,162,189,252,324,378,567,756,1134,2268
Greatest Common Factor
We found the factors 7534,2268 . The biggest common factor number is the GCF number.
So the greatest common factor 7534,2268 is 2.
Lets's calculate LCM of 586,521
Given numbers has no common factors except 1. So, there LCM is their product i.e 305306
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/305306
Therefore, the GCF of Fractions 7534/586,2268/521 is 2/305306
Least Common Multiple of 586,521 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 586,521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(586,521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(586,521) x common factors =1 x 1 = 1
LCM(586,521) = ( 586 × 521 ) / 1
LCM(586,521) = 305306 / 1
LCM(586,521) = 305306
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7534/586, 2268/521
1. What is the HCF of 7534,2268?
The HCF of 7534,2268 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 7534/586, 2268/521?
Answer: GCF of Numerators as per given numbers 7534/586, 2268/521 is
GCF of Numerators i.e. for 7534,2268 is 2
LCM of denominators i.e. for 586,521 is 305306.
Thus, GCF of Fractions is 2/305306.Finally, GCF of Fractions for 7534/586, 2268/521 is 2/305306.