GCF of 7195/510, 9586/672
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7195/510, 9586/672 i.e 1/57120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7195/510, 9586/672.
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 7195/510,9586/672?
Given fractions are 7195/510,9586/672
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 7195/510,9586/672, numerators are 7195,9586
Denominators are 510,672
The GCF of 7195,9586 is 1 .
LCM of 510,672 is 57120.
The greatest common factor of 7195/510,9586/672 = [GCF of 7195,9586]/[LCM of 510,672]= 1/57120
Therefore, the GCF of 7195/510,9586/672 is 1/57120.
To find the highest common factor of 7195,9586, we have to find the factors of both numbers and list the highest common factor.
The factors of 7195 are 1, 5, 1439, 7195
The factors of 9586 are 1, 2, 4793, 9586
The HCF of 7195,9586 is 1.
Lets's calculate GCF of 7195,9586
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7195,9586 By Matching Biggest Common Factor Method
Now, list down the factors of 7195
:1,5,1439,7195
Now, list down the factors of 9586
:1,2,4793,9586
Greatest Common Factor
We found the factors 7195,9586 . The biggest common factor number is the GCF number.
So the greatest common factor 7195,9586 is 1.
Lets's calculate LCM of 510,672
| 2 | 510, 672 |
| 3 | 255, 336 |
| 85, 112 |
∴ So the LCM of the given numbers is 2 x 3 x 85 x 112 = 57120
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57120
Therefore, the GCF of Fractions 7195/510,9586/672 is 1/57120
Least Common Multiple of 510,672 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 510,672 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(510,672) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(510,672) x common factors =6 x 1 = 6
LCM(510,672) = ( 510 × 672 ) / 6
LCM(510,672) = 342720 / 6
LCM(510,672) = 57120
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FAQs on GCF of Fractions of 7195/510, 9586/672
1. What is the HCF of 7195,9586?
The HCF of 7195,9586 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 7195/510, 9586/672?
Answer: GCF of Numerators as per given numbers 7195/510, 9586/672 is
GCF of Numerators i.e. for 7195,9586 is 1
LCM of denominators i.e. for 510,672 is 57120.
Thus, GCF of Fractions is 1/57120.Finally, GCF of Fractions for 7195/510, 9586/672 is 1/57120.