GCF of 2168/867, 2238/2187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2168/867, 2238/2187 i.e 2/632043 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2168/867, 2238/2187.
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 2168/867,2238/2187?
Given fractions are 2168/867,2238/2187
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 2168/867,2238/2187, numerators are 2168,2238
Denominators are 867,2187
The GCF of 2168,2238 is 2 .
LCM of 867,2187 is 632043.
The greatest common factor of 2168/867,2238/2187 = [GCF of 2168,2238]/[LCM of 867,2187]= 2/632043
Therefore, the GCF of 2168/867,2238/2187 is 2/632043.
To find the highest common factor of 2168,2238, we have to find the factors of both numbers and list the highest common factor.
The factors of 2168 are 1, 2, 4, 8, 271, 542, 1084, 2168
The factors of 2238 are 1, 2, 3, 6, 373, 746, 1119, 2238
The HCF of 2168,2238 is 2.
Lets's calculate GCF of 2168,2238
| 2 | 2168, 2238 |
| 1084, 1119 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2168,2238 By Matching Biggest Common Factor Method
Now, list down the factors of 2168
:1,2,4,8,271,542,1084,2168
Now, list down the factors of 2238
:1,2,3,6,373,746,1119,2238
Greatest Common Factor
We found the factors 2168,2238 . The biggest common factor number is the GCF number.
So the greatest common factor 2168,2238 is 2.
Lets's calculate LCM of 867,2187
| 3 | 867, 2187 |
| 289, 729 |
∴ So the LCM of the given numbers is 3 x 289 x 729 = 632043
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/632043
Therefore, the GCF of Fractions 2168/867,2238/2187 is 2/632043
Least Common Multiple of 867,2187 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 867,2187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,2187) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,2187) x common factors =3 x 1 = 3
LCM(867,2187) = ( 867 × 2187 ) / 3
LCM(867,2187) = 1896129 / 3
LCM(867,2187) = 632043
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FAQs on GCF of Fractions of 2168/867, 2238/2187
1. What is the HCF of 2168,2238?
The HCF of 2168,2238 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 2168/867, 2238/2187?
Answer: GCF of Numerators as per given numbers 2168/867, 2238/2187 is
GCF of Numerators i.e. for 2168,2238 is 2
LCM of denominators i.e. for 867,2187 is 632043.
Thus, GCF of Fractions is 2/632043.Finally, GCF of Fractions for 2168/867, 2238/2187 is 2/632043.