GCF of 3055/351, 8374/5790
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3055/351, 8374/5790 i.e 1/677430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3055/351, 8374/5790.
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 3055/351,8374/5790?
Given fractions are 3055/351,8374/5790
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 3055/351,8374/5790, numerators are 3055,8374
Denominators are 351,5790
The GCF of 3055,8374 is 1 .
LCM of 351,5790 is 677430.
The greatest common factor of 3055/351,8374/5790 = [GCF of 3055,8374]/[LCM of 351,5790]= 1/677430
Therefore, the GCF of 3055/351,8374/5790 is 1/677430.
To find the highest common factor of 3055,8374, we have to find the factors of both numbers and list the highest common factor.
The factors of 3055 are 1, 5, 13, 47, 65, 235, 611, 3055
The factors of 8374 are 1, 2, 53, 79, 106, 158, 4187, 8374
The HCF of 3055,8374 is 1.
Lets's calculate GCF of 3055,8374
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3055,8374 By Matching Biggest Common Factor Method
Now, list down the factors of 3055
:1,5,13,47,65,235,611,3055
Now, list down the factors of 8374
:1,2,53,79,106,158,4187,8374
Greatest Common Factor
We found the factors 3055,8374 . The biggest common factor number is the GCF number.
So the greatest common factor 3055,8374 is 1.
Lets's calculate LCM of 351,5790
| 3 | 351, 5790 |
| 117, 1930 |
∴ So the LCM of the given numbers is 3 x 117 x 1930 = 677430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/677430
Therefore, the GCF of Fractions 3055/351,8374/5790 is 1/677430
Least Common Multiple of 351,5790 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 351,5790 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,5790) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,5790) x common factors =3 x 1 = 3
LCM(351,5790) = ( 351 × 5790 ) / 3
LCM(351,5790) = 2032290 / 3
LCM(351,5790) = 677430
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FAQs on GCF of Fractions of 3055/351, 8374/5790
1. What is the HCF of 3055,8374?
The HCF of 3055,8374 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 3055/351, 8374/5790?
Answer: GCF of Numerators as per given numbers 3055/351, 8374/5790 is
GCF of Numerators i.e. for 3055,8374 is 1
LCM of denominators i.e. for 351,5790 is 677430.
Thus, GCF of Fractions is 1/677430.Finally, GCF of Fractions for 3055/351, 8374/5790 is 1/677430.