GCF of 283/562, 1084/470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 283/562, 1084/470 i.e 1/132070 easily. The following is the detailed procedure to determine the greatest common factor of fractions 283/562, 1084/470.
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 283/562,1084/470?
Given fractions are 283/562,1084/470
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 283/562,1084/470, numerators are 283,1084
Denominators are 562,470
The GCF of 283,1084 is 1 .
LCM of 562,470 is 132070.
The greatest common factor of 283/562,1084/470 = [GCF of 283,1084]/[LCM of 562,470]= 1/132070
Therefore, the GCF of 283/562,1084/470 is 1/132070.
To find the highest common factor of 283,1084, we have to find the factors of both numbers and list the highest common factor.
The factors of 283 are 1, 283
The factors of 1084 are 1, 2, 4, 271, 542, 1084
The HCF of 283,1084 is 1.
Lets's calculate GCF of 283,1084
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 283,1084 By Matching Biggest Common Factor Method
Now, list down the factors of 283
:1,283
Now, list down the factors of 1084
:1,2,4,271,542,1084
Greatest Common Factor
We found the factors 283,1084 . The biggest common factor number is the GCF number.
So the greatest common factor 283,1084 is 1.
Lets's calculate LCM of 562,470
| 2 | 562, 470 |
| 281, 235 |
∴ So the LCM of the given numbers is 2 x 281 x 235 = 132070
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/132070
Therefore, the GCF of Fractions 283/562,1084/470 is 1/132070
Least Common Multiple of 562,470 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 562,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(562,470) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(562,470) x common factors =2 x 1 = 2
LCM(562,470) = ( 562 × 470 ) / 2
LCM(562,470) = 264140 / 2
LCM(562,470) = 132070
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FAQs on GCF of Fractions of 283/562, 1084/470
1. What is the HCF of 283,1084?
The HCF of 283,1084 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 283/562, 1084/470?
Answer: GCF of Numerators as per given numbers 283/562, 1084/470 is
GCF of Numerators i.e. for 283,1084 is 1
LCM of denominators i.e. for 562,470 is 132070.
Thus, GCF of Fractions is 1/132070.Finally, GCF of Fractions for 283/562, 1084/470 is 1/132070.