GCF of 1082/900, 8158/5890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1082/900, 8158/5890 i.e 2/530100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1082/900, 8158/5890.
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 1082/900,8158/5890?
Given fractions are 1082/900,8158/5890
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 1082/900,8158/5890, numerators are 1082,8158
Denominators are 900,5890
The GCF of 1082,8158 is 2 .
LCM of 900,5890 is 530100.
The greatest common factor of 1082/900,8158/5890 = [GCF of 1082,8158]/[LCM of 900,5890]= 2/530100
Therefore, the GCF of 1082/900,8158/5890 is 2/530100.
To find the highest common factor of 1082,8158, we have to find the factors of both numbers and list the highest common factor.
The factors of 1082 are 1, 2, 541, 1082
The factors of 8158 are 1, 2, 4079, 8158
The HCF of 1082,8158 is 2.
Lets's calculate GCF of 1082,8158
| 2 | 1082, 8158 |
| 541, 4079 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1082,8158 By Matching Biggest Common Factor Method
Now, list down the factors of 1082
:1,2,541,1082
Now, list down the factors of 8158
:1,2,4079,8158
Greatest Common Factor
We found the factors 1082,8158 . The biggest common factor number is the GCF number.
So the greatest common factor 1082,8158 is 2.
Lets's calculate LCM of 900,5890
| 2 | 900, 5890 |
| 5 | 450, 2945 |
| 90, 589 |
∴ So the LCM of the given numbers is 2 x 5 x 90 x 589 = 530100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/530100
Therefore, the GCF of Fractions 1082/900,8158/5890 is 2/530100
Least Common Multiple of 900,5890 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 900,5890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(900,5890) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(900,5890) x common factors =10 x 1 = 10
LCM(900,5890) = ( 900 × 5890 ) / 10
LCM(900,5890) = 5301000 / 10
LCM(900,5890) = 530100
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FAQs on GCF of Fractions of 1082/900, 8158/5890
1. What is the HCF of 1082,8158?
The HCF of 1082,8158 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 1082/900, 8158/5890?
Answer: GCF of Numerators as per given numbers 1082/900, 8158/5890 is
GCF of Numerators i.e. for 1082,8158 is 2
LCM of denominators i.e. for 900,5890 is 530100.
Thus, GCF of Fractions is 2/530100.Finally, GCF of Fractions for 1082/900, 8158/5890 is 2/530100.