GCF of 584/9310, 486/6251
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 584/9310, 486/6251 i.e 2/437570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 584/9310, 486/6251.
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 584/9310,486/6251?
Given fractions are 584/9310,486/6251
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 584/9310,486/6251, numerators are 584,486
Denominators are 9310,6251
The GCF of 584,486 is 2 .
LCM of 9310,6251 is 437570.
The greatest common factor of 584/9310,486/6251 = [GCF of 584,486]/[LCM of 9310,6251]= 2/437570
Therefore, the GCF of 584/9310,486/6251 is 2/437570.
To find the highest common factor of 584,486, we have to find the factors of both numbers and list the highest common factor.
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The factors of 486 are 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
The HCF of 584,486 is 2.
Lets's calculate GCF of 584,486
| 2 | 584, 486 |
| 292, 243 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 584,486 By Matching Biggest Common Factor Method
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Now, list down the factors of 486
:1,2,3,6,9,18,27,54,81,162,243,486
Greatest Common Factor
We found the factors 584,486 . The biggest common factor number is the GCF number.
So the greatest common factor 584,486 is 2.
Lets's calculate LCM of 9310,6251
| 7 | 9310, 6251 |
| 19 | 1330, 893 |
| 70, 47 |
∴ So the LCM of the given numbers is 7 x 19 x 70 x 47 = 437570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/437570
Therefore, the GCF of Fractions 584/9310,486/6251 is 2/437570
Least Common Multiple of 9310,6251 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 9310,6251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9310,6251) = 133
common factors(in case of two or more numbers have common factors) = 1
GCF(9310,6251) x common factors =133 x 1 = 133
LCM(9310,6251) = ( 9310 × 6251 ) / 133
LCM(9310,6251) = 58196810 / 133
LCM(9310,6251) = 437570
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FAQs on GCF of Fractions of 584/9310, 486/6251
1. What is the HCF of 584,486?
The HCF of 584,486 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 584/9310, 486/6251?
Answer: GCF of Numerators as per given numbers 584/9310, 486/6251 is
GCF of Numerators i.e. for 584,486 is 2
LCM of denominators i.e. for 9310,6251 is 437570.
Thus, GCF of Fractions is 2/437570.Finally, GCF of Fractions for 584/9310, 486/6251 is 2/437570.