GCF of 298/754, 3630/181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 298/754, 3630/181 i.e 2/136474 easily. The following is the detailed procedure to determine the greatest common factor of fractions 298/754, 3630/181.
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 298/754,3630/181?
Given fractions are 298/754,3630/181
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 298/754,3630/181, numerators are 298,3630
Denominators are 754,181
The GCF of 298,3630 is 2 .
LCM of 754,181 is 136474.
The greatest common factor of 298/754,3630/181 = [GCF of 298,3630]/[LCM of 754,181]= 2/136474
Therefore, the GCF of 298/754,3630/181 is 2/136474.
To find the highest common factor of 298,3630, we have to find the factors of both numbers and list the highest common factor.
The factors of 298 are 1, 2, 149, 298
The factors of 3630 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 121, 165, 242, 330, 363, 605, 726, 1210, 1815, 3630
The HCF of 298,3630 is 2.
Lets's calculate GCF of 298,3630
| 2 | 298, 3630 |
| 149, 1815 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 298,3630 By Matching Biggest Common Factor Method
Now, list down the factors of 298
:1,2,149,298
Now, list down the factors of 3630
:1,2,3,5,6,10,11,15,22,30,33,55,66,110,121,165,242,330,363,605,726,1210,1815,3630
Greatest Common Factor
We found the factors 298,3630 . The biggest common factor number is the GCF number.
So the greatest common factor 298,3630 is 2.
Lets's calculate LCM of 754,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 136474
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/136474
Therefore, the GCF of Fractions 298/754,3630/181 is 2/136474
Least Common Multiple of 754,181 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 754,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(754,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(754,181) x common factors =1 x 1 = 1
LCM(754,181) = ( 754 × 181 ) / 1
LCM(754,181) = 136474 / 1
LCM(754,181) = 136474
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FAQs on GCF of Fractions of 298/754, 3630/181
1. What is the HCF of 298,3630?
The HCF of 298,3630 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 298/754, 3630/181?
Answer: GCF of Numerators as per given numbers 298/754, 3630/181 is
GCF of Numerators i.e. for 298,3630 is 2
LCM of denominators i.e. for 754,181 is 136474.
Thus, GCF of Fractions is 2/136474.Finally, GCF of Fractions for 298/754, 3630/181 is 2/136474.