GCF of 280/351, 3826/582
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 280/351, 3826/582 i.e 2/68094 easily. The following is the detailed procedure to determine the greatest common factor of fractions 280/351, 3826/582.
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 280/351,3826/582?
Given fractions are 280/351,3826/582
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 280/351,3826/582, numerators are 280,3826
Denominators are 351,582
The GCF of 280,3826 is 2 .
LCM of 351,582 is 68094.
The greatest common factor of 280/351,3826/582 = [GCF of 280,3826]/[LCM of 351,582]= 2/68094
Therefore, the GCF of 280/351,3826/582 is 2/68094.
To find the highest common factor of 280,3826, we have to find the factors of both numbers and list the highest common factor.
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The factors of 3826 are 1, 2, 1913, 3826
The HCF of 280,3826 is 2.
Lets's calculate GCF of 280,3826
| 2 | 280, 3826 |
| 140, 1913 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 280,3826 By Matching Biggest Common Factor Method
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Now, list down the factors of 3826
:1,2,1913,3826
Greatest Common Factor
We found the factors 280,3826 . The biggest common factor number is the GCF number.
So the greatest common factor 280,3826 is 2.
Lets's calculate LCM of 351,582
| 3 | 351, 582 |
| 117, 194 |
∴ So the LCM of the given numbers is 3 x 117 x 194 = 68094
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/68094
Therefore, the GCF of Fractions 280/351,3826/582 is 2/68094
Least Common Multiple of 351,582 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 351,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,582) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,582) x common factors =3 x 1 = 3
LCM(351,582) = ( 351 × 582 ) / 3
LCM(351,582) = 204282 / 3
LCM(351,582) = 68094
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FAQs on GCF of Fractions of 280/351, 3826/582
1. What is the HCF of 280,3826?
The HCF of 280,3826 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 280/351, 3826/582?
Answer: GCF of Numerators as per given numbers 280/351, 3826/582 is
GCF of Numerators i.e. for 280,3826 is 2
LCM of denominators i.e. for 351,582 is 68094.
Thus, GCF of Fractions is 2/68094.Finally, GCF of Fractions for 280/351, 3826/582 is 2/68094.