GCF of 1479/786, 6086/5632
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1479/786, 6086/5632 i.e 17/2213376 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1479/786, 6086/5632.
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 1479/786,6086/5632?
Given fractions are 1479/786,6086/5632
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 1479/786,6086/5632, numerators are 1479,6086
Denominators are 786,5632
The GCF of 1479,6086 is 17 .
LCM of 786,5632 is 2213376.
The greatest common factor of 1479/786,6086/5632 = [GCF of 1479,6086]/[LCM of 786,5632]= 17/2213376
Therefore, the GCF of 1479/786,6086/5632 is 17/2213376.
To find the highest common factor of 1479,6086, we have to find the factors of both numbers and list the highest common factor.
The factors of 1479 are 1, 3, 17, 29, 51, 87, 493, 1479
The factors of 6086 are 1, 2, 17, 34, 179, 358, 3043, 6086
The HCF of 1479,6086 is 17.
Lets's calculate GCF of 1479,6086
| 17 | 1479, 6086 |
| 87, 358 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 1479,6086 By Matching Biggest Common Factor Method
Now, list down the factors of 1479
:1,3,17,29,51,87,493,1479
Now, list down the factors of 6086
:1,2,17,34,179,358,3043,6086
Greatest Common Factor
We found the factors 1479,6086 . The biggest common factor number is the GCF number.
So the greatest common factor 1479,6086 is 17.
Lets's calculate LCM of 786,5632
| 2 | 786, 5632 |
| 393, 2816 |
∴ So the LCM of the given numbers is 2 x 393 x 2816 = 2213376
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/2213376
Therefore, the GCF of Fractions 1479/786,6086/5632 is 17/2213376
Least Common Multiple of 786,5632 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 786,5632 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(786,5632) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(786,5632) x common factors =2 x 1 = 2
LCM(786,5632) = ( 786 × 5632 ) / 2
LCM(786,5632) = 4426752 / 2
LCM(786,5632) = 2213376
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FAQs on GCF of Fractions of 1479/786, 6086/5632
1. What is the HCF of 1479,6086?
The HCF of 1479,6086 is 17
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 1479/786, 6086/5632?
Answer: GCF of Numerators as per given numbers 1479/786, 6086/5632 is
GCF of Numerators i.e. for 1479,6086 is 17
LCM of denominators i.e. for 786,5632 is 2213376.
Thus, GCF of Fractions is 17/2213376.Finally, GCF of Fractions for 1479/786, 6086/5632 is 17/2213376.