GCF of 2688/312, 2186/427
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2688/312, 2186/427 i.e 2/133224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2688/312, 2186/427.
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 2688/312,2186/427?
Given fractions are 2688/312,2186/427
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 2688/312,2186/427, numerators are 2688,2186
Denominators are 312,427
The GCF of 2688,2186 is 2 .
LCM of 312,427 is 133224.
The greatest common factor of 2688/312,2186/427 = [GCF of 2688,2186]/[LCM of 312,427]= 2/133224
Therefore, the GCF of 2688/312,2186/427 is 2/133224.
To find the highest common factor of 2688,2186, we have to find the factors of both numbers and list the highest common factor.
The factors of 2688 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 64, 84, 96, 112, 128, 168, 192, 224, 336, 384, 448, 672, 896, 1344, 2688
The factors of 2186 are 1, 2, 1093, 2186
The HCF of 2688,2186 is 2.
Lets's calculate GCF of 2688,2186
| 2 | 2688, 2186 |
| 1344, 1093 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2688,2186 By Matching Biggest Common Factor Method
Now, list down the factors of 2688
:1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,64,84,96,112,128,168,192,224,336,384,448,672,896,1344,2688
Now, list down the factors of 2186
:1,2,1093,2186
Greatest Common Factor
We found the factors 2688,2186 . The biggest common factor number is the GCF number.
So the greatest common factor 2688,2186 is 2.
Lets's calculate LCM of 312,427
Given numbers has no common factors except 1. So, there LCM is their product i.e 133224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/133224
Therefore, the GCF of Fractions 2688/312,2186/427 is 2/133224
Least Common Multiple of 312,427 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 312,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(312,427) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(312,427) x common factors =1 x 1 = 1
LCM(312,427) = ( 312 × 427 ) / 1
LCM(312,427) = 133224 / 1
LCM(312,427) = 133224
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FAQs on GCF of Fractions of 2688/312, 2186/427
1. What is the HCF of 2688,2186?
The HCF of 2688,2186 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 2688/312, 2186/427?
Answer: GCF of Numerators as per given numbers 2688/312, 2186/427 is
GCF of Numerators i.e. for 2688,2186 is 2
LCM of denominators i.e. for 312,427 is 133224.
Thus, GCF of Fractions is 2/133224.Finally, GCF of Fractions for 2688/312, 2186/427 is 2/133224.