GCF of 8447/986, 5412/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8447/986, 5412/168 i.e 1/82824 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8447/986, 5412/168.
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 8447/986,5412/168?
Given fractions are 8447/986,5412/168
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 8447/986,5412/168, numerators are 8447,5412
Denominators are 986,168
The GCF of 8447,5412 is 1 .
LCM of 986,168 is 82824.
The greatest common factor of 8447/986,5412/168 = [GCF of 8447,5412]/[LCM of 986,168]= 1/82824
Therefore, the GCF of 8447/986,5412/168 is 1/82824.
To find the highest common factor of 8447,5412, we have to find the factors of both numbers and list the highest common factor.
The factors of 8447 are 1, 8447
The factors of 5412 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 41, 44, 66, 82, 123, 132, 164, 246, 451, 492, 902, 1353, 1804, 2706, 5412
The HCF of 8447,5412 is 1.
Lets's calculate GCF of 8447,5412
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8447,5412 By Matching Biggest Common Factor Method
Now, list down the factors of 8447
:1,8447
Now, list down the factors of 5412
:1,2,3,4,6,11,12,22,33,41,44,66,82,123,132,164,246,451,492,902,1353,1804,2706,5412
Greatest Common Factor
We found the factors 8447,5412 . The biggest common factor number is the GCF number.
So the greatest common factor 8447,5412 is 1.
Lets's calculate LCM of 986,168
| 2 | 986, 168 |
| 493, 84 |
∴ So the LCM of the given numbers is 2 x 493 x 84 = 82824
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82824
Therefore, the GCF of Fractions 8447/986,5412/168 is 1/82824
Least Common Multiple of 986,168 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 986,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(986,168) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(986,168) x common factors =2 x 1 = 2
LCM(986,168) = ( 986 × 168 ) / 2
LCM(986,168) = 165648 / 2
LCM(986,168) = 82824
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FAQs on GCF of Fractions of 8447/986, 5412/168
1. What is the HCF of 8447,5412?
The HCF of 8447,5412 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 8447/986, 5412/168?
Answer: GCF of Numerators as per given numbers 8447/986, 5412/168 is
GCF of Numerators i.e. for 8447,5412 is 1
LCM of denominators i.e. for 986,168 is 82824.
Thus, GCF of Fractions is 1/82824.Finally, GCF of Fractions for 8447/986, 5412/168 is 1/82824.