GCF of 8227/812, 2834/460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8227/812, 2834/460 i.e 1/93380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8227/812, 2834/460.
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 8227/812,2834/460?
Given fractions are 8227/812,2834/460
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 8227/812,2834/460, numerators are 8227,2834
Denominators are 812,460
The GCF of 8227,2834 is 1 .
LCM of 812,460 is 93380.
The greatest common factor of 8227/812,2834/460 = [GCF of 8227,2834]/[LCM of 812,460]= 1/93380
Therefore, the GCF of 8227/812,2834/460 is 1/93380.
To find the highest common factor of 8227,2834, we have to find the factors of both numbers and list the highest common factor.
The factors of 8227 are 1, 19, 433, 8227
The factors of 2834 are 1, 2, 13, 26, 109, 218, 1417, 2834
The HCF of 8227,2834 is 1.
Lets's calculate GCF of 8227,2834
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8227,2834 By Matching Biggest Common Factor Method
Now, list down the factors of 8227
:1,19,433,8227
Now, list down the factors of 2834
:1,2,13,26,109,218,1417,2834
Greatest Common Factor
We found the factors 8227,2834 . The biggest common factor number is the GCF number.
So the greatest common factor 8227,2834 is 1.
Lets's calculate LCM of 812,460
| 2 | 812, 460 |
| 2 | 406, 230 |
| 203, 115 |
∴ So the LCM of the given numbers is 2 x 2 x 203 x 115 = 93380
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93380
Therefore, the GCF of Fractions 8227/812,2834/460 is 1/93380
Least Common Multiple of 812,460 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 812,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(812,460) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(812,460) x common factors =4 x 1 = 4
LCM(812,460) = ( 812 × 460 ) / 4
LCM(812,460) = 373520 / 4
LCM(812,460) = 93380
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FAQs on GCF of Fractions of 8227/812, 2834/460
1. What is the HCF of 8227,2834?
The HCF of 8227,2834 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 8227/812, 2834/460?
Answer: GCF of Numerators as per given numbers 8227/812, 2834/460 is
GCF of Numerators i.e. for 8227,2834 is 1
LCM of denominators i.e. for 812,460 is 93380.
Thus, GCF of Fractions is 1/93380.Finally, GCF of Fractions for 8227/812, 2834/460 is 1/93380.