GCF of 4677/561, 2151/921
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4677/561, 2151/921 i.e 3/172227 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4677/561, 2151/921.
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 4677/561,2151/921?
Given fractions are 4677/561,2151/921
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 4677/561,2151/921, numerators are 4677,2151
Denominators are 561,921
The GCF of 4677,2151 is 3 .
LCM of 561,921 is 172227.
The greatest common factor of 4677/561,2151/921 = [GCF of 4677,2151]/[LCM of 561,921]= 3/172227
Therefore, the GCF of 4677/561,2151/921 is 3/172227.
To find the highest common factor of 4677,2151, we have to find the factors of both numbers and list the highest common factor.
The factors of 4677 are 1, 3, 1559, 4677
The factors of 2151 are 1, 3, 9, 239, 717, 2151
The HCF of 4677,2151 is 3.
Lets's calculate GCF of 4677,2151
| 3 | 4677, 2151 |
| 1559, 717 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 4677,2151 By Matching Biggest Common Factor Method
Now, list down the factors of 4677
:1,3,1559,4677
Now, list down the factors of 2151
:1,3,9,239,717,2151
Greatest Common Factor
We found the factors 4677,2151 . The biggest common factor number is the GCF number.
So the greatest common factor 4677,2151 is 3.
Lets's calculate LCM of 561,921
| 3 | 561, 921 |
| 187, 307 |
∴ So the LCM of the given numbers is 3 x 187 x 307 = 172227
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/172227
Therefore, the GCF of Fractions 4677/561,2151/921 is 3/172227
Least Common Multiple of 561,921 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 561,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,921) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,921) x common factors =3 x 1 = 3
LCM(561,921) = ( 561 × 921 ) / 3
LCM(561,921) = 516681 / 3
LCM(561,921) = 172227
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FAQs on GCF of Fractions of 4677/561, 2151/921
1. What is the HCF of 4677,2151?
The HCF of 4677,2151 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 4677/561, 2151/921?
Answer: GCF of Numerators as per given numbers 4677/561, 2151/921 is
GCF of Numerators i.e. for 4677,2151 is 3
LCM of denominators i.e. for 561,921 is 172227.
Thus, GCF of Fractions is 3/172227.Finally, GCF of Fractions for 4677/561, 2151/921 is 3/172227.