GCF of 2564/224, 6381/1500
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2564/224, 6381/1500 i.e 1/84000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2564/224, 6381/1500.
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 2564/224,6381/1500?
Given fractions are 2564/224,6381/1500
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 2564/224,6381/1500, numerators are 2564,6381
Denominators are 224,1500
The GCF of 2564,6381 is 1 .
LCM of 224,1500 is 84000.
The greatest common factor of 2564/224,6381/1500 = [GCF of 2564,6381]/[LCM of 224,1500]= 1/84000
Therefore, the GCF of 2564/224,6381/1500 is 1/84000.
To find the highest common factor of 2564,6381, we have to find the factors of both numbers and list the highest common factor.
The factors of 2564 are 1, 2, 4, 641, 1282, 2564
The factors of 6381 are 1, 3, 9, 709, 2127, 6381
The HCF of 2564,6381 is 1.
Lets's calculate GCF of 2564,6381
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2564,6381 By Matching Biggest Common Factor Method
Now, list down the factors of 2564
:1,2,4,641,1282,2564
Now, list down the factors of 6381
:1,3,9,709,2127,6381
Greatest Common Factor
We found the factors 2564,6381 . The biggest common factor number is the GCF number.
So the greatest common factor 2564,6381 is 1.
Lets's calculate LCM of 224,1500
| 2 | 224, 1500 |
| 2 | 112, 750 |
| 56, 375 |
∴ So the LCM of the given numbers is 2 x 2 x 56 x 375 = 84000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/84000
Therefore, the GCF of Fractions 2564/224,6381/1500 is 1/84000
Least Common Multiple of 224,1500 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 224,1500 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(224,1500) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(224,1500) x common factors =4 x 1 = 4
LCM(224,1500) = ( 224 × 1500 ) / 4
LCM(224,1500) = 336000 / 4
LCM(224,1500) = 84000
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FAQs on GCF of Fractions of 2564/224, 6381/1500
1. What is the HCF of 2564,6381?
The HCF of 2564,6381 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 2564/224, 6381/1500?
Answer: GCF of Numerators as per given numbers 2564/224, 6381/1500 is
GCF of Numerators i.e. for 2564,6381 is 1
LCM of denominators i.e. for 224,1500 is 84000.
Thus, GCF of Fractions is 1/84000.Finally, GCF of Fractions for 2564/224, 6381/1500 is 1/84000.