GCF of 9172/143, 6298/7059
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9172/143, 6298/7059 i.e 2/77649 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9172/143, 6298/7059.
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 9172/143,6298/7059?
Given fractions are 9172/143,6298/7059
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 9172/143,6298/7059, numerators are 9172,6298
Denominators are 143,7059
The GCF of 9172,6298 is 2 .
LCM of 143,7059 is 77649.
The greatest common factor of 9172/143,6298/7059 = [GCF of 9172,6298]/[LCM of 143,7059]= 2/77649
Therefore, the GCF of 9172/143,6298/7059 is 2/77649.
To find the highest common factor of 9172,6298, we have to find the factors of both numbers and list the highest common factor.
The factors of 9172 are 1, 2, 4, 2293, 4586, 9172
The factors of 6298 are 1, 2, 47, 67, 94, 134, 3149, 6298
The HCF of 9172,6298 is 2.
Lets's calculate GCF of 9172,6298
| 2 | 9172, 6298 |
| 4586, 3149 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9172,6298 By Matching Biggest Common Factor Method
Now, list down the factors of 9172
:1,2,4,2293,4586,9172
Now, list down the factors of 6298
:1,2,47,67,94,134,3149,6298
Greatest Common Factor
We found the factors 9172,6298 . The biggest common factor number is the GCF number.
So the greatest common factor 9172,6298 is 2.
Lets's calculate LCM of 143,7059
| 13 | 143, 7059 |
| 11, 543 |
∴ So the LCM of the given numbers is 13 x 11 x 543 = 77649
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/77649
Therefore, the GCF of Fractions 9172/143,6298/7059 is 2/77649
Least Common Multiple of 143,7059 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 143,7059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,7059) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(143,7059) x common factors =13 x 1 = 13
LCM(143,7059) = ( 143 × 7059 ) / 13
LCM(143,7059) = 1009437 / 13
LCM(143,7059) = 77649
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FAQs on GCF of Fractions of 9172/143, 6298/7059
1. What is the HCF of 9172,6298?
The HCF of 9172,6298 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 9172/143, 6298/7059?
Answer: GCF of Numerators as per given numbers 9172/143, 6298/7059 is
GCF of Numerators i.e. for 9172,6298 is 2
LCM of denominators i.e. for 143,7059 is 77649.
Thus, GCF of Fractions is 2/77649.Finally, GCF of Fractions for 9172/143, 6298/7059 is 2/77649.