GCF of 1483/316, 8256/6488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1483/316, 8256/6488 i.e 1/512552 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1483/316, 8256/6488.
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 1483/316,8256/6488?
Given fractions are 1483/316,8256/6488
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 1483/316,8256/6488, numerators are 1483,8256
Denominators are 316,6488
The GCF of 1483,8256 is 1 .
LCM of 316,6488 is 512552.
The greatest common factor of 1483/316,8256/6488 = [GCF of 1483,8256]/[LCM of 316,6488]= 1/512552
Therefore, the GCF of 1483/316,8256/6488 is 1/512552.
To find the highest common factor of 1483,8256, we have to find the factors of both numbers and list the highest common factor.
The factors of 1483 are 1, 1483
The factors of 8256 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 43, 48, 64, 86, 96, 129, 172, 192, 258, 344, 516, 688, 1032, 1376, 2064, 2752, 4128, 8256
The HCF of 1483,8256 is 1.
Lets's calculate GCF of 1483,8256
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1483,8256 By Matching Biggest Common Factor Method
Now, list down the factors of 1483
:1,1483
Now, list down the factors of 8256
:1,2,3,4,6,8,12,16,24,32,43,48,64,86,96,129,172,192,258,344,516,688,1032,1376,2064,2752,4128,8256
Greatest Common Factor
We found the factors 1483,8256 . The biggest common factor number is the GCF number.
So the greatest common factor 1483,8256 is 1.
Lets's calculate LCM of 316,6488
| 2 | 316, 6488 |
| 2 | 158, 3244 |
| 79, 1622 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 1622 = 512552
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/512552
Therefore, the GCF of Fractions 1483/316,8256/6488 is 1/512552
Least Common Multiple of 316,6488 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 316,6488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,6488) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,6488) x common factors =4 x 1 = 4
LCM(316,6488) = ( 316 × 6488 ) / 4
LCM(316,6488) = 2050208 / 4
LCM(316,6488) = 512552
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FAQs on GCF of Fractions of 1483/316, 8256/6488
1. What is the HCF of 1483,8256?
The HCF of 1483,8256 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 1483/316, 8256/6488?
Answer: GCF of Numerators as per given numbers 1483/316, 8256/6488 is
GCF of Numerators i.e. for 1483,8256 is 1
LCM of denominators i.e. for 316,6488 is 512552.
Thus, GCF of Fractions is 1/512552.Finally, GCF of Fractions for 1483/316, 8256/6488 is 1/512552.