GCF of 7359/207, 9086/410
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7359/207, 9086/410 i.e 11/84870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7359/207, 9086/410.
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 7359/207,9086/410?
Given fractions are 7359/207,9086/410
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 7359/207,9086/410, numerators are 7359,9086
Denominators are 207,410
The GCF of 7359,9086 is 11 .
LCM of 207,410 is 84870.
The greatest common factor of 7359/207,9086/410 = [GCF of 7359,9086]/[LCM of 207,410]= 11/84870
Therefore, the GCF of 7359/207,9086/410 is 11/84870.
To find the highest common factor of 7359,9086, we have to find the factors of both numbers and list the highest common factor.
The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359
The factors of 9086 are 1, 2, 7, 11, 14, 22, 59, 77, 118, 154, 413, 649, 826, 1298, 4543, 9086
The HCF of 7359,9086 is 11.
Lets's calculate GCF of 7359,9086
| 11 | 7359, 9086 |
| 669, 826 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 7359,9086 By Matching Biggest Common Factor Method
Now, list down the factors of 7359
:1,3,11,33,223,669,2453,7359
Now, list down the factors of 9086
:1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086
Greatest Common Factor
We found the factors 7359,9086 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,9086 is 11.
Lets's calculate LCM of 207,410
Given numbers has no common factors except 1. So, there LCM is their product i.e 84870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/84870
Therefore, the GCF of Fractions 7359/207,9086/410 is 11/84870
Least Common Multiple of 207,410 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 207,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(207,410) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(207,410) x common factors =1 x 1 = 1
LCM(207,410) = ( 207 × 410 ) / 1
LCM(207,410) = 84870 / 1
LCM(207,410) = 84870
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FAQs on GCF of Fractions of 7359/207, 9086/410
1. What is the HCF of 7359,9086?
The HCF of 7359,9086 is 11
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 7359/207, 9086/410?
Answer: GCF of Numerators as per given numbers 7359/207, 9086/410 is
GCF of Numerators i.e. for 7359,9086 is 11
LCM of denominators i.e. for 207,410 is 84870.
Thus, GCF of Fractions is 11/84870.Finally, GCF of Fractions for 7359/207, 9086/410 is 11/84870.