GCF of 5975/564, 5367/6414
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5975/564, 5367/6414 i.e 1/602916 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5975/564, 5367/6414.
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 5975/564,5367/6414?
Given fractions are 5975/564,5367/6414
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 5975/564,5367/6414, numerators are 5975,5367
Denominators are 564,6414
The GCF of 5975,5367 is 1 .
LCM of 564,6414 is 602916.
The greatest common factor of 5975/564,5367/6414 = [GCF of 5975,5367]/[LCM of 564,6414]= 1/602916
Therefore, the GCF of 5975/564,5367/6414 is 1/602916.
To find the highest common factor of 5975,5367, we have to find the factors of both numbers and list the highest common factor.
The factors of 5975 are 1, 5, 25, 239, 1195, 5975
The factors of 5367 are 1, 3, 1789, 5367
The HCF of 5975,5367 is 1.
Lets's calculate GCF of 5975,5367
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5975,5367 By Matching Biggest Common Factor Method
Now, list down the factors of 5975
:1,5,25,239,1195,5975
Now, list down the factors of 5367
:1,3,1789,5367
Greatest Common Factor
We found the factors 5975,5367 . The biggest common factor number is the GCF number.
So the greatest common factor 5975,5367 is 1.
Lets's calculate LCM of 564,6414
| 2 | 564, 6414 |
| 3 | 282, 3207 |
| 94, 1069 |
∴ So the LCM of the given numbers is 2 x 3 x 94 x 1069 = 602916
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/602916
Therefore, the GCF of Fractions 5975/564,5367/6414 is 1/602916
Least Common Multiple of 564,6414 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 564,6414 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(564,6414) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(564,6414) x common factors =6 x 1 = 6
LCM(564,6414) = ( 564 × 6414 ) / 6
LCM(564,6414) = 3617496 / 6
LCM(564,6414) = 602916
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FAQs on GCF of Fractions of 5975/564, 5367/6414
1. What is the HCF of 5975,5367?
The HCF of 5975,5367 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 5975/564, 5367/6414?
Answer: GCF of Numerators as per given numbers 5975/564, 5367/6414 is
GCF of Numerators i.e. for 5975,5367 is 1
LCM of denominators i.e. for 564,6414 is 602916.
Thus, GCF of Fractions is 1/602916.Finally, GCF of Fractions for 5975/564, 5367/6414 is 1/602916.