GCF of 9086/655, 2345/7708
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9086/655, 2345/7708 i.e 7/5048740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9086/655, 2345/7708.
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 9086/655,2345/7708?
Given fractions are 9086/655,2345/7708
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 9086/655,2345/7708, numerators are 9086,2345
Denominators are 655,7708
The GCF of 9086,2345 is 7 .
LCM of 655,7708 is 5048740.
The greatest common factor of 9086/655,2345/7708 = [GCF of 9086,2345]/[LCM of 655,7708]= 7/5048740
Therefore, the GCF of 9086/655,2345/7708 is 7/5048740.
To find the highest common factor of 9086,2345, we have to find the factors of both numbers and list the highest common factor.
The factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086
The factors of 2345 are 1, 5, 7, 35, 67, 335, 469, 2345
The HCF of 9086,2345 is 7.
Lets's calculate GCF of 9086,2345
| 7 | 9086, 2345 |
| 1298, 335 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 9086,2345 By Matching Biggest Common Factor Method
Now, list down the factors of 9086
:1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086
Now, list down the factors of 2345
:1,5,7,35,67,335,469,2345
Greatest Common Factor
We found the factors 9086,2345 . The biggest common factor number is the GCF number.
So the greatest common factor 9086,2345 is 7.
Lets's calculate LCM of 655,7708
Given numbers has no common factors except 1. So, there LCM is their product i.e 5048740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/5048740
Therefore, the GCF of Fractions 9086/655,2345/7708 is 7/5048740
Least Common Multiple of 655,7708 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 655,7708 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(655,7708) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(655,7708) x common factors =1 x 1 = 1
LCM(655,7708) = ( 655 × 7708 ) / 1
LCM(655,7708) = 5048740 / 1
LCM(655,7708) = 5048740
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FAQs on GCF of Fractions of 9086/655, 2345/7708
1. What is the HCF of 9086,2345?
The HCF of 9086,2345 is 7
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 9086/655, 2345/7708?
Answer: GCF of Numerators as per given numbers 9086/655, 2345/7708 is
GCF of Numerators i.e. for 9086,2345 is 7
LCM of denominators i.e. for 655,7708 is 5048740.
Thus, GCF of Fractions is 7/5048740.Finally, GCF of Fractions for 9086/655, 2345/7708 is 7/5048740.