GCF of 8992/149, 9586/5354
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8992/149, 9586/5354 i.e 2/797746 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8992/149, 9586/5354.
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 8992/149,9586/5354?
Given fractions are 8992/149,9586/5354
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 8992/149,9586/5354, numerators are 8992,9586
Denominators are 149,5354
The GCF of 8992,9586 is 2 .
LCM of 149,5354 is 797746.
The greatest common factor of 8992/149,9586/5354 = [GCF of 8992,9586]/[LCM of 149,5354]= 2/797746
Therefore, the GCF of 8992/149,9586/5354 is 2/797746.
To find the highest common factor of 8992,9586, we have to find the factors of both numbers and list the highest common factor.
The factors of 8992 are 1, 2, 4, 8, 16, 32, 281, 562, 1124, 2248, 4496, 8992
The factors of 9586 are 1, 2, 4793, 9586
The HCF of 8992,9586 is 2.
Lets's calculate GCF of 8992,9586
| 2 | 8992, 9586 |
| 4496, 4793 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8992,9586 By Matching Biggest Common Factor Method
Now, list down the factors of 8992
:1,2,4,8,16,32,281,562,1124,2248,4496,8992
Now, list down the factors of 9586
:1,2,4793,9586
Greatest Common Factor
We found the factors 8992,9586 . The biggest common factor number is the GCF number.
So the greatest common factor 8992,9586 is 2.
Lets's calculate LCM of 149,5354
Given numbers has no common factors except 1. So, there LCM is their product i.e 797746
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/797746
Therefore, the GCF of Fractions 8992/149,9586/5354 is 2/797746
Least Common Multiple of 149,5354 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 149,5354 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(149,5354) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(149,5354) x common factors =1 x 1 = 1
LCM(149,5354) = ( 149 × 5354 ) / 1
LCM(149,5354) = 797746 / 1
LCM(149,5354) = 797746
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FAQs on GCF of Fractions of 8992/149, 9586/5354
1. What is the HCF of 8992,9586?
The HCF of 8992,9586 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 8992/149, 9586/5354?
Answer: GCF of Numerators as per given numbers 8992/149, 9586/5354 is
GCF of Numerators i.e. for 8992,9586 is 2
LCM of denominators i.e. for 149,5354 is 797746.
Thus, GCF of Fractions is 2/797746.Finally, GCF of Fractions for 8992/149, 9586/5354 is 2/797746.