GCF of 227/82, 984/246
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 227/82, 984/246 i.e 1/246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 227/82, 984/246.
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 227/82,984/246?
Given fractions are 227/82,984/246
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 227/82,984/246, numerators are 227,984
Denominators are 82,246
The GCF of 227,984 is 1 .
LCM of 82,246 is 246.
The greatest common factor of 227/82,984/246 = [GCF of 227,984]/[LCM of 82,246]= 1/246
Therefore, the GCF of 227/82,984/246 is 1/246.
To find the highest common factor of 227,984, we have to find the factors of both numbers and list the highest common factor.
The factors of 227 are 1, 227
The factors of 984 are 1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984
The HCF of 227,984 is 1.
Lets's calculate GCF of 227,984
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 227,984 By Matching Biggest Common Factor Method
Now, list down the factors of 227
:1,227
Now, list down the factors of 984
:1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984
Greatest Common Factor
We found the factors 227,984 . The biggest common factor number is the GCF number.
So the greatest common factor 227,984 is 1.
Lets's calculate LCM of 82,246
| 2 | 82, 246 |
| 41 | 41, 123 |
| 1, 3 |
∴ So the LCM of the given numbers is 2 x 41 x 1 x 3 = 246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/246
Therefore, the GCF of Fractions 227/82,984/246 is 1/246
Least Common Multiple of 82,246 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 82,246 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,246) = 82
common factors(in case of two or more numbers have common factors) = 1
GCF(82,246) x common factors =82 x 1 = 82
LCM(82,246) = ( 82 × 246 ) / 82
LCM(82,246) = 20172 / 82
LCM(82,246) = 246
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FAQs on GCF of Fractions of 227/82, 984/246
1. What is the HCF of 227,984?
The HCF of 227,984 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 227/82, 984/246?
Answer: GCF of Numerators as per given numbers 227/82, 984/246 is
GCF of Numerators i.e. for 227,984 is 1
LCM of denominators i.e. for 82,246 is 246.
Thus, GCF of Fractions is 1/246.Finally, GCF of Fractions for 227/82, 984/246 is 1/246.