GCF of 264/64, 222/509
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 264/64, 222/509 i.e 6/32576 easily. The following is the detailed procedure to determine the greatest common factor of fractions 264/64, 222/509.
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 264/64,222/509?
Given fractions are 264/64,222/509
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 264/64,222/509, numerators are 264,222
Denominators are 64,509
The GCF of 264,222 is 6 .
LCM of 64,509 is 32576.
The greatest common factor of 264/64,222/509 = [GCF of 264,222]/[LCM of 64,509]= 6/32576
Therefore, the GCF of 264/64,222/509 is 6/32576.
To find the highest common factor of 264,222, we have to find the factors of both numbers and list the highest common factor.
The factors of 264 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 264,222 is 6.
Lets's calculate GCF of 264,222
| 2 | 264, 222 |
| 3 | 132, 111 |
| 44, 37 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 264,222 By Matching Biggest Common Factor Method
Now, list down the factors of 264
:1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 264,222 . The biggest common factor number is the GCF number.
So the greatest common factor 264,222 is 6.
Lets's calculate LCM of 64,509
Given numbers has no common factors except 1. So, there LCM is their product i.e 32576
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/32576
Therefore, the GCF of Fractions 264/64,222/509 is 6/32576
Least Common Multiple of 64,509 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 64,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,509) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(64,509) x common factors =1 x 1 = 1
LCM(64,509) = ( 64 × 509 ) / 1
LCM(64,509) = 32576 / 1
LCM(64,509) = 32576
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FAQs on GCF of Fractions of 264/64, 222/509
1. What is the HCF of 264,222?
The HCF of 264,222 is 6
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 264/64, 222/509?
Answer: GCF of Numerators as per given numbers 264/64, 222/509 is
GCF of Numerators i.e. for 264,222 is 6
LCM of denominators i.e. for 64,509 is 32576.
Thus, GCF of Fractions is 6/32576.Finally, GCF of Fractions for 264/64, 222/509 is 6/32576.