GCF of 2541/229, 9789/654
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2541/229, 9789/654 i.e 3/149766 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2541/229, 9789/654.
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 2541/229,9789/654?
Given fractions are 2541/229,9789/654
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 2541/229,9789/654, numerators are 2541,9789
Denominators are 229,654
The GCF of 2541,9789 is 3 .
LCM of 229,654 is 149766.
The greatest common factor of 2541/229,9789/654 = [GCF of 2541,9789]/[LCM of 229,654]= 3/149766
Therefore, the GCF of 2541/229,9789/654 is 3/149766.
To find the highest common factor of 2541,9789, we have to find the factors of both numbers and list the highest common factor.
The factors of 2541 are 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541
The factors of 9789 are 1, 3, 13, 39, 251, 753, 3263, 9789
The HCF of 2541,9789 is 3.
Lets's calculate GCF of 2541,9789
| 3 | 2541, 9789 |
| 847, 3263 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 2541,9789 By Matching Biggest Common Factor Method
Now, list down the factors of 2541
:1,3,7,11,21,33,77,121,231,363,847,2541
Now, list down the factors of 9789
:1,3,13,39,251,753,3263,9789
Greatest Common Factor
We found the factors 2541,9789 . The biggest common factor number is the GCF number.
So the greatest common factor 2541,9789 is 3.
Lets's calculate LCM of 229,654
Given numbers has no common factors except 1. So, there LCM is their product i.e 149766
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/149766
Therefore, the GCF of Fractions 2541/229,9789/654 is 3/149766
Least Common Multiple of 229,654 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 229,654 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(229,654) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(229,654) x common factors =1 x 1 = 1
LCM(229,654) = ( 229 × 654 ) / 1
LCM(229,654) = 149766 / 1
LCM(229,654) = 149766
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FAQs on GCF of Fractions of 2541/229, 9789/654
1. What is the HCF of 2541,9789?
The HCF of 2541,9789 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 2541/229, 9789/654?
Answer: GCF of Numerators as per given numbers 2541/229, 9789/654 is
GCF of Numerators i.e. for 2541,9789 is 3
LCM of denominators i.e. for 229,654 is 149766.
Thus, GCF of Fractions is 3/149766.Finally, GCF of Fractions for 2541/229, 9789/654 is 3/149766.