GCF of 6275/876, 4584/4161
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6275/876, 4584/4161 i.e 1/16644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6275/876, 4584/4161.
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 6275/876,4584/4161?
Given fractions are 6275/876,4584/4161
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 6275/876,4584/4161, numerators are 6275,4584
Denominators are 876,4161
The GCF of 6275,4584 is 1 .
LCM of 876,4161 is 16644.
The greatest common factor of 6275/876,4584/4161 = [GCF of 6275,4584]/[LCM of 876,4161]= 1/16644
Therefore, the GCF of 6275/876,4584/4161 is 1/16644.
To find the highest common factor of 6275,4584, we have to find the factors of both numbers and list the highest common factor.
The factors of 6275 are 1, 5, 25, 251, 1255, 6275
The factors of 4584 are 1, 2, 3, 4, 6, 8, 12, 24, 191, 382, 573, 764, 1146, 1528, 2292, 4584
The HCF of 6275,4584 is 1.
Lets's calculate GCF of 6275,4584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6275,4584 By Matching Biggest Common Factor Method
Now, list down the factors of 6275
:1,5,25,251,1255,6275
Now, list down the factors of 4584
:1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584
Greatest Common Factor
We found the factors 6275,4584 . The biggest common factor number is the GCF number.
So the greatest common factor 6275,4584 is 1.
Lets's calculate LCM of 876,4161
| 3 | 876, 4161 |
| 73 | 292, 1387 |
| 4, 19 |
∴ So the LCM of the given numbers is 3 x 73 x 4 x 19 = 16644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16644
Therefore, the GCF of Fractions 6275/876,4584/4161 is 1/16644
Least Common Multiple of 876,4161 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 876,4161 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(876,4161) = 219
common factors(in case of two or more numbers have common factors) = 1
GCF(876,4161) x common factors =219 x 1 = 219
LCM(876,4161) = ( 876 × 4161 ) / 219
LCM(876,4161) = 3645036 / 219
LCM(876,4161) = 16644
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FAQs on GCF of Fractions of 6275/876, 4584/4161
1. What is the HCF of 6275,4584?
The HCF of 6275,4584 is 1
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 6275/876, 4584/4161?
Answer: GCF of Numerators as per given numbers 6275/876, 4584/4161 is
GCF of Numerators i.e. for 6275,4584 is 1
LCM of denominators i.e. for 876,4161 is 16644.
Thus, GCF of Fractions is 1/16644.Finally, GCF of Fractions for 6275/876, 4584/4161 is 1/16644.