GCF of 8083/159, 9527/2802
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8083/159, 9527/2802 i.e 1/148506 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8083/159, 9527/2802.
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 8083/159,9527/2802?
Given fractions are 8083/159,9527/2802
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 8083/159,9527/2802, numerators are 8083,9527
Denominators are 159,2802
The GCF of 8083,9527 is 1 .
LCM of 159,2802 is 148506.
The greatest common factor of 8083/159,9527/2802 = [GCF of 8083,9527]/[LCM of 159,2802]= 1/148506
Therefore, the GCF of 8083/159,9527/2802 is 1/148506.
To find the highest common factor of 8083,9527, we have to find the factors of both numbers and list the highest common factor.
The factors of 8083 are 1, 59, 137, 8083
The factors of 9527 are 1, 7, 1361, 9527
The HCF of 8083,9527 is 1.
Lets's calculate GCF of 8083,9527
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8083,9527 By Matching Biggest Common Factor Method
Now, list down the factors of 8083
:1,59,137,8083
Now, list down the factors of 9527
:1,7,1361,9527
Greatest Common Factor
We found the factors 8083,9527 . The biggest common factor number is the GCF number.
So the greatest common factor 8083,9527 is 1.
Lets's calculate LCM of 159,2802
| 3 | 159, 2802 |
| 53, 934 |
∴ So the LCM of the given numbers is 3 x 53 x 934 = 148506
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/148506
Therefore, the GCF of Fractions 8083/159,9527/2802 is 1/148506
Least Common Multiple of 159,2802 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 159,2802 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(159,2802) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(159,2802) x common factors =3 x 1 = 3
LCM(159,2802) = ( 159 × 2802 ) / 3
LCM(159,2802) = 445518 / 3
LCM(159,2802) = 148506
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FAQs on GCF of Fractions of 8083/159, 9527/2802
1. What is the HCF of 8083,9527?
The HCF of 8083,9527 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 8083/159, 9527/2802?
Answer: GCF of Numerators as per given numbers 8083/159, 9527/2802 is
GCF of Numerators i.e. for 8083,9527 is 1
LCM of denominators i.e. for 159,2802 is 148506.
Thus, GCF of Fractions is 1/148506.Finally, GCF of Fractions for 8083/159, 9527/2802 is 1/148506.