GCF of 9/69, 78/61, 81/969, 222/497
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9/69, 78/61, 81/969, 222/497 i.e 3/675674979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9/69, 78/61, 81/969, 222/497.
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 9/69,78/61,81/969,222/497?
Given fractions are 9/69,78/61,81/969,222/497
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 9/69,78/61,81/969,222/497, numerators are 9,78,81,222
Denominators are 69,61,969,497
The GCF of 9,78,81,222 is 3 .
LCM of 69,61,969,497 is 675674979.
The greatest common factor of 9/69,78/61,81/969,222/497 = [GCF of 9,78,81,222]/[LCM of 69,61,969,497]= 3/675674979
Therefore, the GCF of 9/69,78/61,81/969,222/497 is 3/675674979.
To find the highest common factor of 9,78,81,222, we have to find the factors of both numbers and list the highest common factor.
The factors of 9 are 1, 3, 9
The factors of 78 are 1, 2, 3, 6, 13, 26, 39, 78
The factors of 81 are 1, 3, 9, 27, 81
The factors of 222 are 1, 2, 3, 6, 37, 74, 111, 222
The HCF of 9,78,81,222 is 3.
Lets's calculate GCF of 9,78,81,222
| 3 | 9, 78, 81, 222 |
| 3, 26, 27, 74 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9,78,81,222 By Matching Biggest Common Factor Method
Now, list down the factors of 9
:1,3,9
Now, list down the factors of 78
:1,2,3,6,13,26,39,78
Now, list down the factors of 81
:1,3,9,27,81
Now, list down the factors of 222
:1,2,3,6,37,74,111,222
Greatest Common Factor
We found the factors 9,78,81,222 . The biggest common factor number is the GCF number.
So the greatest common factor 9,78,81,222 is 3.
Lets's calculate LCM of 69,61,969,497
| 3 | 69, 61, 969, 497 |
| 23, 61, 323, 497 |
∴ So the LCM of the given numbers is 3 x 23 x 61 x 323 x 497 = 675674979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/675674979
Therefore, the GCF of Fractions 9/69,78/61,81/969,222/497 is 3/675674979
Least Common Multiple of 69,61,969,497 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 69,61,969,497 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(69,61,969,497) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(69,61,969,497) x common factors =1 x 3 = 3
LCM(69,61,969,497) = ( 69 × 61 × 969 × 497 ) / 3
LCM(69,61,969,497) = 2027024937 / 3
LCM(69,61,969,497) = 675674979
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 9/69, 78/61, 81/969, 222/497
1. What is the HCF of 9,78,81,222?
The HCF of 9,78,81,222 is 3
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 9/69, 78/61, 81/969, 222/497?
Answer: GCF of Numerators as per given numbers 9/69, 78/61, 81/969, 222/497 is
GCF of Numerators i.e. for 9,78,81,222 is 3
LCM of denominators i.e. for 69,61,969,497 is 675674979.
Thus, GCF of Fractions is 3/675674979.Finally, GCF of Fractions for 9/69, 78/61, 81/969, 222/497 is 3/675674979.