GCF of 7150/218, 9602/5317
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7150/218, 9602/5317 i.e 2/1159106 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7150/218, 9602/5317.
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 7150/218,9602/5317?
Given fractions are 7150/218,9602/5317
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 7150/218,9602/5317, numerators are 7150,9602
Denominators are 218,5317
The GCF of 7150,9602 is 2 .
LCM of 218,5317 is 1159106.
The greatest common factor of 7150/218,9602/5317 = [GCF of 7150,9602]/[LCM of 218,5317]= 2/1159106
Therefore, the GCF of 7150/218,9602/5317 is 2/1159106.
To find the highest common factor of 7150,9602, we have to find the factors of both numbers and list the highest common factor.
The factors of 7150 are 1, 2, 5, 10, 11, 13, 22, 25, 26, 50, 55, 65, 110, 130, 143, 275, 286, 325, 550, 650, 715, 1430, 3575, 7150
The factors of 9602 are 1, 2, 4801, 9602
The HCF of 7150,9602 is 2.
Lets's calculate GCF of 7150,9602
| 2 | 7150, 9602 |
| 3575, 4801 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7150,9602 By Matching Biggest Common Factor Method
Now, list down the factors of 7150
:1,2,5,10,11,13,22,25,26,50,55,65,110,130,143,275,286,325,550,650,715,1430,3575,7150
Now, list down the factors of 9602
:1,2,4801,9602
Greatest Common Factor
We found the factors 7150,9602 . The biggest common factor number is the GCF number.
So the greatest common factor 7150,9602 is 2.
Lets's calculate LCM of 218,5317
Given numbers has no common factors except 1. So, there LCM is their product i.e 1159106
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1159106
Therefore, the GCF of Fractions 7150/218,9602/5317 is 2/1159106
Least Common Multiple of 218,5317 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 218,5317 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(218,5317) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(218,5317) x common factors =1 x 1 = 1
LCM(218,5317) = ( 218 × 5317 ) / 1
LCM(218,5317) = 1159106 / 1
LCM(218,5317) = 1159106
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FAQs on GCF of Fractions of 7150/218, 9602/5317
1. What is the HCF of 7150,9602?
The HCF of 7150,9602 is 2
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 7150/218, 9602/5317?
Answer: GCF of Numerators as per given numbers 7150/218, 9602/5317 is
GCF of Numerators i.e. for 7150,9602 is 2
LCM of denominators i.e. for 218,5317 is 1159106.
Thus, GCF of Fractions is 2/1159106.Finally, GCF of Fractions for 7150/218, 9602/5317 is 2/1159106.