GCF of 324/530, 134/999, 245/264
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 324/530, 134/999, 245/264 i.e 1/23296680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 324/530, 134/999, 245/264.
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 324/530,134/999,245/264?
Given fractions are 324/530,134/999,245/264
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 324/530,134/999,245/264, numerators are 324,134,245
Denominators are 530,999,264
The GCF of 324,134,245 is 1 .
LCM of 530,999,264 is 23296680.
The greatest common factor of 324/530,134/999,245/264 = [GCF of 324,134,245]/[LCM of 530,999,264]= 1/23296680
Therefore, the GCF of 324/530,134/999,245/264 is 1/23296680.
To find the highest common factor of 324,134,245, we have to find the factors of both numbers and list the highest common factor.
The factors of 324 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
The factors of 134 are 1, 2, 67, 134
The factors of 245 are 1, 5, 7, 35, 49, 245
The HCF of 324,134,245 is 1.
Lets's calculate GCF of 324,134,245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 324,134,245 By Matching Biggest Common Factor Method
Now, list down the factors of 324
:1,2,3,4,6,9,12,18,27,36,54,81,108,162,324
Now, list down the factors of 134
:1,2,67,134
Now, list down the factors of 245
:1,5,7,35,49,245
Greatest Common Factor
We found the factors 324,134,245 . The biggest common factor number is the GCF number.
So the greatest common factor 324,134,245 is 1.
Lets's calculate LCM of 530,999,264
| 2 | 530, 999, 264 |
| 3 | 265, 999, 132 |
| 265, 333, 44 |
∴ So the LCM of the given numbers is 2 x 3 x 265 x 333 x 44 = 23296680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23296680
Therefore, the GCF of Fractions 324/530,134/999,245/264 is 1/23296680
Least Common Multiple of 530,999,264 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 530,999,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(530,999,264) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(530,999,264) x common factors =1 x 6 = 6
LCM(530,999,264) = ( 530 × 999 × 264 ) / 6
LCM(530,999,264) = 139780080 / 6
LCM(530,999,264) = 23296680
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FAQs on GCF of Fractions of 324/530, 134/999, 245/264
1. What is the HCF of 324,134,245?
The HCF of 324,134,245 is 1
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 324/530, 134/999, 245/264?
Answer: GCF of Numerators as per given numbers 324/530, 134/999, 245/264 is
GCF of Numerators i.e. for 324,134,245 is 1
LCM of denominators i.e. for 530,999,264 is 23296680.
Thus, GCF of Fractions is 1/23296680.Finally, GCF of Fractions for 324/530, 134/999, 245/264 is 1/23296680.