GCF of 8283/188, 8428/1132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8283/188, 8428/1132 i.e 1/53204 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8283/188, 8428/1132.
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 8283/188,8428/1132?
Given fractions are 8283/188,8428/1132
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 8283/188,8428/1132, numerators are 8283,8428
Denominators are 188,1132
The GCF of 8283,8428 is 1 .
LCM of 188,1132 is 53204.
The greatest common factor of 8283/188,8428/1132 = [GCF of 8283,8428]/[LCM of 188,1132]= 1/53204
Therefore, the GCF of 8283/188,8428/1132 is 1/53204.
To find the highest common factor of 8283,8428, we have to find the factors of both numbers and list the highest common factor.
The factors of 8283 are 1, 3, 11, 33, 251, 753, 2761, 8283
The factors of 8428 are 1, 2, 4, 7, 14, 28, 43, 49, 86, 98, 172, 196, 301, 602, 1204, 2107, 4214, 8428
The HCF of 8283,8428 is 1.
Lets's calculate GCF of 8283,8428
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8283,8428 By Matching Biggest Common Factor Method
Now, list down the factors of 8283
:1,3,11,33,251,753,2761,8283
Now, list down the factors of 8428
:1,2,4,7,14,28,43,49,86,98,172,196,301,602,1204,2107,4214,8428
Greatest Common Factor
We found the factors 8283,8428 . The biggest common factor number is the GCF number.
So the greatest common factor 8283,8428 is 1.
Lets's calculate LCM of 188,1132
| 2 | 188, 1132 |
| 2 | 94, 566 |
| 47, 283 |
∴ So the LCM of the given numbers is 2 x 2 x 47 x 283 = 53204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53204
Therefore, the GCF of Fractions 8283/188,8428/1132 is 1/53204
Least Common Multiple of 188,1132 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 188,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(188,1132) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(188,1132) x common factors =4 x 1 = 4
LCM(188,1132) = ( 188 × 1132 ) / 4
LCM(188,1132) = 212816 / 4
LCM(188,1132) = 53204
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FAQs on GCF of Fractions of 8283/188, 8428/1132
1. What is the HCF of 8283,8428?
The HCF of 8283,8428 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 8283/188, 8428/1132?
Answer: GCF of Numerators as per given numbers 8283/188, 8428/1132 is
GCF of Numerators i.e. for 8283,8428 is 1
LCM of denominators i.e. for 188,1132 is 53204.
Thus, GCF of Fractions is 1/53204.Finally, GCF of Fractions for 8283/188, 8428/1132 is 1/53204.