GCF of 2127/496, 6858/319
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2127/496, 6858/319 i.e 3/158224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2127/496, 6858/319.
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 2127/496,6858/319?
Given fractions are 2127/496,6858/319
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 2127/496,6858/319, numerators are 2127,6858
Denominators are 496,319
The GCF of 2127,6858 is 3 .
LCM of 496,319 is 158224.
The greatest common factor of 2127/496,6858/319 = [GCF of 2127,6858]/[LCM of 496,319]= 3/158224
Therefore, the GCF of 2127/496,6858/319 is 3/158224.
To find the highest common factor of 2127,6858, we have to find the factors of both numbers and list the highest common factor.
The factors of 2127 are 1, 3, 709, 2127
The factors of 6858 are 1, 2, 3, 6, 9, 18, 27, 54, 127, 254, 381, 762, 1143, 2286, 3429, 6858
The HCF of 2127,6858 is 3.
Lets's calculate GCF of 2127,6858
| 3 | 2127, 6858 |
| 709, 2286 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2127,6858 By Matching Biggest Common Factor Method
Now, list down the factors of 2127
:1,3,709,2127
Now, list down the factors of 6858
:1,2,3,6,9,18,27,54,127,254,381,762,1143,2286,3429,6858
Greatest Common Factor
We found the factors 2127,6858 . The biggest common factor number is the GCF number.
So the greatest common factor 2127,6858 is 3.
Lets's calculate LCM of 496,319
Given numbers has no common factors except 1. So, there LCM is their product i.e 158224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/158224
Therefore, the GCF of Fractions 2127/496,6858/319 is 3/158224
Least Common Multiple of 496,319 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 496,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(496,319) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(496,319) x common factors =1 x 1 = 1
LCM(496,319) = ( 496 × 319 ) / 1
LCM(496,319) = 158224 / 1
LCM(496,319) = 158224
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FAQs on GCF of Fractions of 2127/496, 6858/319
1. What is the HCF of 2127,6858?
The HCF of 2127,6858 is 3
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 2127/496, 6858/319?
Answer: GCF of Numerators as per given numbers 2127/496, 6858/319 is
GCF of Numerators i.e. for 2127,6858 is 3
LCM of denominators i.e. for 496,319 is 158224.
Thus, GCF of Fractions is 3/158224.Finally, GCF of Fractions for 2127/496, 6858/319 is 3/158224.