GCF of 8581/750, 1512/4622
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8581/750, 1512/4622 i.e 1/1733250 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8581/750, 1512/4622.
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 8581/750,1512/4622?
Given fractions are 8581/750,1512/4622
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 8581/750,1512/4622, numerators are 8581,1512
Denominators are 750,4622
The GCF of 8581,1512 is 1 .
LCM of 750,4622 is 1733250.
The greatest common factor of 8581/750,1512/4622 = [GCF of 8581,1512]/[LCM of 750,4622]= 1/1733250
Therefore, the GCF of 8581/750,1512/4622 is 1/1733250.
To find the highest common factor of 8581,1512, we have to find the factors of both numbers and list the highest common factor.
The factors of 8581 are 1, 8581
The factors of 1512 are 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 27, 28, 36, 42, 54, 56, 63, 72, 84, 108, 126, 168, 189, 216, 252, 378, 504, 756, 1512
The HCF of 8581,1512 is 1.
Lets's calculate GCF of 8581,1512
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8581,1512 By Matching Biggest Common Factor Method
Now, list down the factors of 8581
:1,8581
Now, list down the factors of 1512
:1,2,3,4,6,7,8,9,12,14,18,21,24,27,28,36,42,54,56,63,72,84,108,126,168,189,216,252,378,504,756,1512
Greatest Common Factor
We found the factors 8581,1512 . The biggest common factor number is the GCF number.
So the greatest common factor 8581,1512 is 1.
Lets's calculate LCM of 750,4622
| 2 | 750, 4622 |
| 375, 2311 |
∴ So the LCM of the given numbers is 2 x 375 x 2311 = 1733250
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1733250
Therefore, the GCF of Fractions 8581/750,1512/4622 is 1/1733250
Least Common Multiple of 750,4622 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 750,4622 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(750,4622) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(750,4622) x common factors =2 x 1 = 2
LCM(750,4622) = ( 750 × 4622 ) / 2
LCM(750,4622) = 3466500 / 2
LCM(750,4622) = 1733250
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FAQs on GCF of Fractions of 8581/750, 1512/4622
1. What is the HCF of 8581,1512?
The HCF of 8581,1512 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 8581/750, 1512/4622?
Answer: GCF of Numerators as per given numbers 8581/750, 1512/4622 is
GCF of Numerators i.e. for 8581,1512 is 1
LCM of denominators i.e. for 750,4622 is 1733250.
Thus, GCF of Fractions is 1/1733250.Finally, GCF of Fractions for 8581/750, 1512/4622 is 1/1733250.