GCF of 7986/677, 1409/8870
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7986/677, 1409/8870 i.e 1/6004990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7986/677, 1409/8870.
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 7986/677,1409/8870?
Given fractions are 7986/677,1409/8870
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 7986/677,1409/8870, numerators are 7986,1409
Denominators are 677,8870
The GCF of 7986,1409 is 1 .
LCM of 677,8870 is 6004990.
The greatest common factor of 7986/677,1409/8870 = [GCF of 7986,1409]/[LCM of 677,8870]= 1/6004990
Therefore, the GCF of 7986/677,1409/8870 is 1/6004990.
To find the highest common factor of 7986,1409, we have to find the factors of both numbers and list the highest common factor.
The factors of 7986 are 1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726, 1331, 2662, 3993, 7986
The factors of 1409 are 1, 1409
The HCF of 7986,1409 is 1.
Lets's calculate GCF of 7986,1409
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7986,1409 By Matching Biggest Common Factor Method
Now, list down the factors of 7986
:1,2,3,6,11,22,33,66,121,242,363,726,1331,2662,3993,7986
Now, list down the factors of 1409
:1,1409
Greatest Common Factor
We found the factors 7986,1409 . The biggest common factor number is the GCF number.
So the greatest common factor 7986,1409 is 1.
Lets's calculate LCM of 677,8870
Given numbers has no common factors except 1. So, there LCM is their product i.e 6004990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6004990
Therefore, the GCF of Fractions 7986/677,1409/8870 is 1/6004990
Least Common Multiple of 677,8870 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 677,8870 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(677,8870) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(677,8870) x common factors =1 x 1 = 1
LCM(677,8870) = ( 677 × 8870 ) / 1
LCM(677,8870) = 6004990 / 1
LCM(677,8870) = 6004990
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FAQs on GCF of Fractions of 7986/677, 1409/8870
1. What is the HCF of 7986,1409?
The HCF of 7986,1409 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 7986/677, 1409/8870?
Answer: GCF of Numerators as per given numbers 7986/677, 1409/8870 is
GCF of Numerators i.e. for 7986,1409 is 1
LCM of denominators i.e. for 677,8870 is 6004990.
Thus, GCF of Fractions is 1/6004990.Finally, GCF of Fractions for 7986/677, 1409/8870 is 1/6004990.