GCF of 6567/792, 1503/5422
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6567/792, 1503/5422 i.e 3/2147112 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6567/792, 1503/5422.
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 6567/792,1503/5422?
Given fractions are 6567/792,1503/5422
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 6567/792,1503/5422, numerators are 6567,1503
Denominators are 792,5422
The GCF of 6567,1503 is 3 .
LCM of 792,5422 is 2147112.
The greatest common factor of 6567/792,1503/5422 = [GCF of 6567,1503]/[LCM of 792,5422]= 3/2147112
Therefore, the GCF of 6567/792,1503/5422 is 3/2147112.
To find the highest common factor of 6567,1503, we have to find the factors of both numbers and list the highest common factor.
The factors of 6567 are 1, 3, 11, 33, 199, 597, 2189, 6567
The factors of 1503 are 1, 3, 9, 167, 501, 1503
The HCF of 6567,1503 is 3.
Lets's calculate GCF of 6567,1503
| 3 | 6567, 1503 |
| 2189, 501 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6567,1503 By Matching Biggest Common Factor Method
Now, list down the factors of 6567
:1,3,11,33,199,597,2189,6567
Now, list down the factors of 1503
:1,3,9,167,501,1503
Greatest Common Factor
We found the factors 6567,1503 . The biggest common factor number is the GCF number.
So the greatest common factor 6567,1503 is 3.
Lets's calculate LCM of 792,5422
| 2 | 792, 5422 |
| 396, 2711 |
∴ So the LCM of the given numbers is 2 x 396 x 2711 = 2147112
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2147112
Therefore, the GCF of Fractions 6567/792,1503/5422 is 3/2147112
Least Common Multiple of 792,5422 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 792,5422 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(792,5422) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(792,5422) x common factors =2 x 1 = 2
LCM(792,5422) = ( 792 × 5422 ) / 2
LCM(792,5422) = 4294224 / 2
LCM(792,5422) = 2147112
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FAQs on GCF of Fractions of 6567/792, 1503/5422
1. What is the HCF of 6567,1503?
The HCF of 6567,1503 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 6567/792, 1503/5422?
Answer: GCF of Numerators as per given numbers 6567/792, 1503/5422 is
GCF of Numerators i.e. for 6567,1503 is 3
LCM of denominators i.e. for 792,5422 is 2147112.
Thus, GCF of Fractions is 3/2147112.Finally, GCF of Fractions for 6567/792, 1503/5422 is 3/2147112.