GCF of 7855/424, 8987/9966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7855/424, 8987/9966 i.e 1/2112792 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7855/424, 8987/9966.
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 7855/424,8987/9966?
Given fractions are 7855/424,8987/9966
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 7855/424,8987/9966, numerators are 7855,8987
Denominators are 424,9966
The GCF of 7855,8987 is 1 .
LCM of 424,9966 is 2112792.
The greatest common factor of 7855/424,8987/9966 = [GCF of 7855,8987]/[LCM of 424,9966]= 1/2112792
Therefore, the GCF of 7855/424,8987/9966 is 1/2112792.
To find the highest common factor of 7855,8987, we have to find the factors of both numbers and list the highest common factor.
The factors of 7855 are 1, 5, 1571, 7855
The factors of 8987 are 1, 11, 19, 43, 209, 473, 817, 8987
The HCF of 7855,8987 is 1.
Lets's calculate GCF of 7855,8987
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7855,8987 By Matching Biggest Common Factor Method
Now, list down the factors of 7855
:1,5,1571,7855
Now, list down the factors of 8987
:1,11,19,43,209,473,817,8987
Greatest Common Factor
We found the factors 7855,8987 . The biggest common factor number is the GCF number.
So the greatest common factor 7855,8987 is 1.
Lets's calculate LCM of 424,9966
| 2 | 424, 9966 |
| 212, 4983 |
∴ So the LCM of the given numbers is 2 x 212 x 4983 = 2112792
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2112792
Therefore, the GCF of Fractions 7855/424,8987/9966 is 1/2112792
Least Common Multiple of 424,9966 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 424,9966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(424,9966) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(424,9966) x common factors =2 x 1 = 2
LCM(424,9966) = ( 424 × 9966 ) / 2
LCM(424,9966) = 4225584 / 2
LCM(424,9966) = 2112792
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FAQs on GCF of Fractions of 7855/424, 8987/9966
1. What is the HCF of 7855,8987?
The HCF of 7855,8987 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 7855/424, 8987/9966?
Answer: GCF of Numerators as per given numbers 7855/424, 8987/9966 is
GCF of Numerators i.e. for 7855,8987 is 1
LCM of denominators i.e. for 424,9966 is 2112792.
Thus, GCF of Fractions is 1/2112792.Finally, GCF of Fractions for 7855/424, 8987/9966 is 1/2112792.