GCF of 377/264, 858/279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 377/264, 858/279 i.e 13/24552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 377/264, 858/279.
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 377/264,858/279?
Given fractions are 377/264,858/279
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 377/264,858/279, numerators are 377,858
Denominators are 264,279
The GCF of 377,858 is 13 .
LCM of 264,279 is 24552.
The greatest common factor of 377/264,858/279 = [GCF of 377,858]/[LCM of 264,279]= 13/24552
Therefore, the GCF of 377/264,858/279 is 13/24552.
To find the highest common factor of 377,858, we have to find the factors of both numbers and list the highest common factor.
The factors of 377 are 1, 13, 29, 377
The factors of 858 are 1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
The HCF of 377,858 is 13.
Lets's calculate GCF of 377,858
| 13 | 377, 858 |
| 29, 66 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 377,858 By Matching Biggest Common Factor Method
Now, list down the factors of 377
:1,13,29,377
Now, list down the factors of 858
:1,2,3,6,11,13,22,26,33,39,66,78,143,286,429,858
Greatest Common Factor
We found the factors 377,858 . The biggest common factor number is the GCF number.
So the greatest common factor 377,858 is 13.
Lets's calculate LCM of 264,279
| 3 | 264, 279 |
| 88, 93 |
∴ So the LCM of the given numbers is 3 x 88 x 93 = 24552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/24552
Therefore, the GCF of Fractions 377/264,858/279 is 13/24552
Least Common Multiple of 264,279 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 264,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(264,279) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(264,279) x common factors =3 x 1 = 3
LCM(264,279) = ( 264 × 279 ) / 3
LCM(264,279) = 73656 / 3
LCM(264,279) = 24552
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FAQs on GCF of Fractions of 377/264, 858/279
1. What is the HCF of 377,858?
The HCF of 377,858 is 13
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 377/264, 858/279?
Answer: GCF of Numerators as per given numbers 377/264, 858/279 is
GCF of Numerators i.e. for 377,858 is 13
LCM of denominators i.e. for 264,279 is 24552.
Thus, GCF of Fractions is 13/24552.Finally, GCF of Fractions for 377/264, 858/279 is 13/24552.