GCF of 92/969, 99/622, 308/289
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 92/969, 99/622, 308/289 i.e 1/10246206 easily. The following is the detailed procedure to determine the greatest common factor of fractions 92/969, 99/622, 308/289.
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 92/969,99/622,308/289?
Given fractions are 92/969,99/622,308/289
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 92/969,99/622,308/289, numerators are 92,99,308
Denominators are 969,622,289
The GCF of 92,99,308 is 1 .
LCM of 969,622,289 is 10246206.
The greatest common factor of 92/969,99/622,308/289 = [GCF of 92,99,308]/[LCM of 969,622,289]= 1/10246206
Therefore, the GCF of 92/969,99/622,308/289 is 1/10246206.
To find the highest common factor of 92,99,308, we have to find the factors of both numbers and list the highest common factor.
The factors of 92 are 1, 2, 4, 23, 46, 92
The factors of 99 are 1, 3, 9, 11, 33, 99
The factors of 308 are 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
The HCF of 92,99,308 is 1.
Lets's calculate GCF of 92,99,308
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 92,99,308 By Matching Biggest Common Factor Method
Now, list down the factors of 92
:1,2,4,23,46,92
Now, list down the factors of 99
:1,3,9,11,33,99
Now, list down the factors of 308
:1,2,4,7,11,14,22,28,44,77,154,308
Greatest Common Factor
We found the factors 92,99,308 . The biggest common factor number is the GCF number.
So the greatest common factor 92,99,308 is 1.
Lets's calculate LCM of 969,622,289
| 17 | 969, 622, 289 |
| 57, 622, 17 |
∴ So the LCM of the given numbers is 17 x 57 x 622 x 17 = 10246206
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10246206
Therefore, the GCF of Fractions 92/969,99/622,308/289 is 1/10246206
Least Common Multiple of 969,622,289 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 969,622,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(969,622,289) = 1
common factors(in case of two or more numbers have common factors) = 17
GCF(969,622,289) x common factors =1 x 17 = 17
LCM(969,622,289) = ( 969 × 622 × 289 ) / 17
LCM(969,622,289) = 174185502 / 17
LCM(969,622,289) = 10246206
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FAQs on GCF of Fractions of 92/969, 99/622, 308/289
1. What is the HCF of 92,99,308?
The HCF of 92,99,308 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 92/969, 99/622, 308/289?
Answer: GCF of Numerators as per given numbers 92/969, 99/622, 308/289 is
GCF of Numerators i.e. for 92,99,308 is 1
LCM of denominators i.e. for 969,622,289 is 10246206.
Thus, GCF of Fractions is 1/10246206.Finally, GCF of Fractions for 92/969, 99/622, 308/289 is 1/10246206.