GCF of 6567/566, 9262/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6567/566, 9262/850 i.e 11/240550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6567/566, 9262/850.
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 6567/566,9262/850?
Given fractions are 6567/566,9262/850
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 6567/566,9262/850, numerators are 6567,9262
Denominators are 566,850
The GCF of 6567,9262 is 11 .
LCM of 566,850 is 240550.
The greatest common factor of 6567/566,9262/850 = [GCF of 6567,9262]/[LCM of 566,850]= 11/240550
Therefore, the GCF of 6567/566,9262/850 is 11/240550.
To find the highest common factor of 6567,9262, we have to find the factors of both numbers and list the highest common factor.
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The factors of 9262 are 1, 2, 11, 22, 421, 842, 4631, 9262
The HCF of 6567,9262 is 11.
Lets's calculate GCF of 6567,9262
| 11 | 6567, 9262 |
| 597, 842 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6567,9262 By Matching Biggest Common Factor Method
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Now, list down the factors of 9262
:1,2,11,22,421,842,4631,9262
Greatest Common Factor
We found the factors 6567,9262 . The biggest common factor number is the GCF number.
So the greatest common factor 6567,9262 is 11.
Lets's calculate LCM of 566,850
| 2 | 566, 850 |
| 283, 425 |
∴ So the LCM of the given numbers is 2 x 283 x 425 = 240550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/240550
Therefore, the GCF of Fractions 6567/566,9262/850 is 11/240550
Least Common Multiple of 566,850 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 566,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(566,850) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(566,850) x common factors =2 x 1 = 2
LCM(566,850) = ( 566 × 850 ) / 2
LCM(566,850) = 481100 / 2
LCM(566,850) = 240550
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FAQs on GCF of Fractions of 6567/566, 9262/850
1. What is the HCF of 6567,9262?
The HCF of 6567,9262 is 11
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 6567/566, 9262/850?
Answer: GCF of Numerators as per given numbers 6567/566, 9262/850 is
GCF of Numerators i.e. for 6567,9262 is 11
LCM of denominators i.e. for 566,850 is 240550.
Thus, GCF of Fractions is 11/240550.Finally, GCF of Fractions for 6567/566, 9262/850 is 11/240550.