GCF of 409/882, 8939/870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 409/882, 8939/870 i.e 1/127890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 409/882, 8939/870.
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 409/882,8939/870?
Given fractions are 409/882,8939/870
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 409/882,8939/870, numerators are 409,8939
Denominators are 882,870
The GCF of 409,8939 is 1 .
LCM of 882,870 is 127890.
The greatest common factor of 409/882,8939/870 = [GCF of 409,8939]/[LCM of 882,870]= 1/127890
Therefore, the GCF of 409/882,8939/870 is 1/127890.
To find the highest common factor of 409,8939, we have to find the factors of both numbers and list the highest common factor.
The factors of 409 are 1, 409
The factors of 8939 are 1, 7, 1277, 8939
The HCF of 409,8939 is 1.
Lets's calculate GCF of 409,8939
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 409,8939 By Matching Biggest Common Factor Method
Now, list down the factors of 409
:1,409
Now, list down the factors of 8939
:1,7,1277,8939
Greatest Common Factor
We found the factors 409,8939 . The biggest common factor number is the GCF number.
So the greatest common factor 409,8939 is 1.
Lets's calculate LCM of 882,870
| 2 | 882, 870 |
| 3 | 441, 435 |
| 147, 145 |
∴ So the LCM of the given numbers is 2 x 3 x 147 x 145 = 127890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/127890
Therefore, the GCF of Fractions 409/882,8939/870 is 1/127890
Least Common Multiple of 882,870 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 882,870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(882,870) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(882,870) x common factors =6 x 1 = 6
LCM(882,870) = ( 882 × 870 ) / 6
LCM(882,870) = 767340 / 6
LCM(882,870) = 127890
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FAQs on GCF of Fractions of 409/882, 8939/870
1. What is the HCF of 409,8939?
The HCF of 409,8939 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 409/882, 8939/870?
Answer: GCF of Numerators as per given numbers 409/882, 8939/870 is
GCF of Numerators i.e. for 409,8939 is 1
LCM of denominators i.e. for 882,870 is 127890.
Thus, GCF of Fractions is 1/127890.Finally, GCF of Fractions for 409/882, 8939/870 is 1/127890.