GCF of 2187/229, 1368/7557
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2187/229, 1368/7557 i.e 9/7557 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2187/229, 1368/7557.
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 2187/229,1368/7557?
Given fractions are 2187/229,1368/7557
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 2187/229,1368/7557, numerators are 2187,1368
Denominators are 229,7557
The GCF of 2187,1368 is 9 .
LCM of 229,7557 is 7557.
The greatest common factor of 2187/229,1368/7557 = [GCF of 2187,1368]/[LCM of 229,7557]= 9/7557
Therefore, the GCF of 2187/229,1368/7557 is 9/7557.
To find the highest common factor of 2187,1368, we have to find the factors of both numbers and list the highest common factor.
The factors of 2187 are 1, 3, 9, 27, 81, 243, 729, 2187
The factors of 1368 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 19, 24, 36, 38, 57, 72, 76, 114, 152, 171, 228, 342, 456, 684, 1368
The HCF of 2187,1368 is 9.
Lets's calculate GCF of 2187,1368
| 3 | 2187, 1368 |
| 3 | 729, 456 |
| 243, 152 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 2187,1368 By Matching Biggest Common Factor Method
Now, list down the factors of 2187
:1,3,9,27,81,243,729,2187
Now, list down the factors of 1368
:1,2,3,4,6,8,9,12,18,19,24,36,38,57,72,76,114,152,171,228,342,456,684,1368
Greatest Common Factor
We found the factors 2187,1368 . The biggest common factor number is the GCF number.
So the greatest common factor 2187,1368 is 9.
Lets's calculate LCM of 229,7557
| 229 | 229, 7557 |
| 1, 33 |
∴ So the LCM of the given numbers is 229 x 1 x 33 = 7557
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/7557
Therefore, the GCF of Fractions 2187/229,1368/7557 is 9/7557
Least Common Multiple of 229,7557 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 229,7557 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,7557) = 229
common factors(in case of two or more numbers have common factors) = 1
GCF(229,7557) x common factors =229 x 1 = 229
LCM(229,7557) = ( 229 × 7557 ) / 229
LCM(229,7557) = 1730553 / 229
LCM(229,7557) = 7557
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FAQs on GCF of Fractions of 2187/229, 1368/7557
1. What is the HCF of 2187,1368?
The HCF of 2187,1368 is 9
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 2187/229, 1368/7557?
Answer: GCF of Numerators as per given numbers 2187/229, 1368/7557 is
GCF of Numerators i.e. for 2187,1368 is 9
LCM of denominators i.e. for 229,7557 is 7557.
Thus, GCF of Fractions is 9/7557.Finally, GCF of Fractions for 2187/229, 1368/7557 is 9/7557.