GCF of 9306/156, 2089/1142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9306/156, 2089/1142 i.e 1/89076 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9306/156, 2089/1142.
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 9306/156,2089/1142?
Given fractions are 9306/156,2089/1142
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 9306/156,2089/1142, numerators are 9306,2089
Denominators are 156,1142
The GCF of 9306,2089 is 1 .
LCM of 156,1142 is 89076.
The greatest common factor of 9306/156,2089/1142 = [GCF of 9306,2089]/[LCM of 156,1142]= 1/89076
Therefore, the GCF of 9306/156,2089/1142 is 1/89076.
To find the highest common factor of 9306,2089, we have to find the factors of both numbers and list the highest common factor.
The factors of 9306 are 1, 2, 3, 6, 9, 11, 18, 22, 33, 47, 66, 94, 99, 141, 198, 282, 423, 517, 846, 1034, 1551, 3102, 4653, 9306
The factors of 2089 are 1, 2089
The HCF of 9306,2089 is 1.
Lets's calculate GCF of 9306,2089
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9306,2089 By Matching Biggest Common Factor Method
Now, list down the factors of 9306
:1,2,3,6,9,11,18,22,33,47,66,94,99,141,198,282,423,517,846,1034,1551,3102,4653,9306
Now, list down the factors of 2089
:1,2089
Greatest Common Factor
We found the factors 9306,2089 . The biggest common factor number is the GCF number.
So the greatest common factor 9306,2089 is 1.
Lets's calculate LCM of 156,1142
| 2 | 156, 1142 |
| 78, 571 |
∴ So the LCM of the given numbers is 2 x 78 x 571 = 89076
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/89076
Therefore, the GCF of Fractions 9306/156,2089/1142 is 1/89076
Least Common Multiple of 156,1142 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 156,1142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,1142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(156,1142) x common factors =2 x 1 = 2
LCM(156,1142) = ( 156 × 1142 ) / 2
LCM(156,1142) = 178152 / 2
LCM(156,1142) = 89076
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FAQs on GCF of Fractions of 9306/156, 2089/1142
1. What is the HCF of 9306,2089?
The HCF of 9306,2089 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 9306/156, 2089/1142?
Answer: GCF of Numerators as per given numbers 9306/156, 2089/1142 is
GCF of Numerators i.e. for 9306,2089 is 1
LCM of denominators i.e. for 156,1142 is 89076.
Thus, GCF of Fractions is 1/89076.Finally, GCF of Fractions for 9306/156, 2089/1142 is 1/89076.