GCF of 284/824, 4010/294
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 284/824, 4010/294 i.e 2/121128 easily. The following is the detailed procedure to determine the greatest common factor of fractions 284/824, 4010/294.
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 284/824,4010/294?
Given fractions are 284/824,4010/294
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 284/824,4010/294, numerators are 284,4010
Denominators are 824,294
The GCF of 284,4010 is 2 .
LCM of 824,294 is 121128.
The greatest common factor of 284/824,4010/294 = [GCF of 284,4010]/[LCM of 824,294]= 2/121128
Therefore, the GCF of 284/824,4010/294 is 2/121128.
To find the highest common factor of 284,4010, we have to find the factors of both numbers and list the highest common factor.
The factors of 284 are 1, 2, 4, 71, 142, 284
The factors of 4010 are 1, 2, 5, 10, 401, 802, 2005, 4010
The HCF of 284,4010 is 2.
Lets's calculate GCF of 284,4010
| 2 | 284, 4010 |
| 142, 2005 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 284,4010 By Matching Biggest Common Factor Method
Now, list down the factors of 284
:1,2,4,71,142,284
Now, list down the factors of 4010
:1,2,5,10,401,802,2005,4010
Greatest Common Factor
We found the factors 284,4010 . The biggest common factor number is the GCF number.
So the greatest common factor 284,4010 is 2.
Lets's calculate LCM of 824,294
| 2 | 824, 294 |
| 412, 147 |
∴ So the LCM of the given numbers is 2 x 412 x 147 = 121128
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/121128
Therefore, the GCF of Fractions 284/824,4010/294 is 2/121128
Least Common Multiple of 824,294 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 824,294 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,294) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(824,294) x common factors =2 x 1 = 2
LCM(824,294) = ( 824 × 294 ) / 2
LCM(824,294) = 242256 / 2
LCM(824,294) = 121128
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FAQs on GCF of Fractions of 284/824, 4010/294
1. What is the HCF of 284,4010?
The HCF of 284,4010 is 2
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 284/824, 4010/294?
Answer: GCF of Numerators as per given numbers 284/824, 4010/294 is
GCF of Numerators i.e. for 284,4010 is 2
LCM of denominators i.e. for 824,294 is 121128.
Thus, GCF of Fractions is 2/121128.Finally, GCF of Fractions for 284/824, 4010/294 is 2/121128.