GCF of 3044/258, 3686/8510
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3044/258, 3686/8510 i.e 2/1097790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3044/258, 3686/8510.
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 3044/258,3686/8510?
Given fractions are 3044/258,3686/8510
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 3044/258,3686/8510, numerators are 3044,3686
Denominators are 258,8510
The GCF of 3044,3686 is 2 .
LCM of 258,8510 is 1097790.
The greatest common factor of 3044/258,3686/8510 = [GCF of 3044,3686]/[LCM of 258,8510]= 2/1097790
Therefore, the GCF of 3044/258,3686/8510 is 2/1097790.
To find the highest common factor of 3044,3686, we have to find the factors of both numbers and list the highest common factor.
The factors of 3044 are 1, 2, 4, 761, 1522, 3044
The factors of 3686 are 1, 2, 19, 38, 97, 194, 1843, 3686
The HCF of 3044,3686 is 2.
Lets's calculate GCF of 3044,3686
| 2 | 3044, 3686 |
| 1522, 1843 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3044,3686 By Matching Biggest Common Factor Method
Now, list down the factors of 3044
:1,2,4,761,1522,3044
Now, list down the factors of 3686
:1,2,19,38,97,194,1843,3686
Greatest Common Factor
We found the factors 3044,3686 . The biggest common factor number is the GCF number.
So the greatest common factor 3044,3686 is 2.
Lets's calculate LCM of 258,8510
| 2 | 258, 8510 |
| 129, 4255 |
∴ So the LCM of the given numbers is 2 x 129 x 4255 = 1097790
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1097790
Therefore, the GCF of Fractions 3044/258,3686/8510 is 2/1097790
Least Common Multiple of 258,8510 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 258,8510 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,8510) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,8510) x common factors =2 x 1 = 2
LCM(258,8510) = ( 258 × 8510 ) / 2
LCM(258,8510) = 2195580 / 2
LCM(258,8510) = 1097790
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FAQs on GCF of Fractions of 3044/258, 3686/8510
1. What is the HCF of 3044,3686?
The HCF of 3044,3686 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 3044/258, 3686/8510?
Answer: GCF of Numerators as per given numbers 3044/258, 3686/8510 is
GCF of Numerators i.e. for 3044,3686 is 2
LCM of denominators i.e. for 258,8510 is 1097790.
Thus, GCF of Fractions is 2/1097790.Finally, GCF of Fractions for 3044/258, 3686/8510 is 2/1097790.