GCF of 1500/874, 9143/436
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1500/874, 9143/436 i.e 1/190532 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1500/874, 9143/436.
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 1500/874,9143/436?
Given fractions are 1500/874,9143/436
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 1500/874,9143/436, numerators are 1500,9143
Denominators are 874,436
The GCF of 1500,9143 is 1 .
LCM of 874,436 is 190532.
The greatest common factor of 1500/874,9143/436 = [GCF of 1500,9143]/[LCM of 874,436]= 1/190532
Therefore, the GCF of 1500/874,9143/436 is 1/190532.
To find the highest common factor of 1500,9143, we have to find the factors of both numbers and list the highest common factor.
The factors of 1500 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500
The factors of 9143 are 1, 41, 223, 9143
The HCF of 1500,9143 is 1.
Lets's calculate GCF of 1500,9143
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1500,9143 By Matching Biggest Common Factor Method
Now, list down the factors of 1500
:1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500
Now, list down the factors of 9143
:1,41,223,9143
Greatest Common Factor
We found the factors 1500,9143 . The biggest common factor number is the GCF number.
So the greatest common factor 1500,9143 is 1.
Lets's calculate LCM of 874,436
| 2 | 874, 436 |
| 437, 218 |
∴ So the LCM of the given numbers is 2 x 437 x 218 = 190532
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/190532
Therefore, the GCF of Fractions 1500/874,9143/436 is 1/190532
Least Common Multiple of 874,436 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 874,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,436) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(874,436) x common factors =2 x 1 = 2
LCM(874,436) = ( 874 × 436 ) / 2
LCM(874,436) = 381064 / 2
LCM(874,436) = 190532
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FAQs on GCF of Fractions of 1500/874, 9143/436
1. What is the HCF of 1500,9143?
The HCF of 1500,9143 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 1500/874, 9143/436?
Answer: GCF of Numerators as per given numbers 1500/874, 9143/436 is
GCF of Numerators i.e. for 1500,9143 is 1
LCM of denominators i.e. for 874,436 is 190532.
Thus, GCF of Fractions is 1/190532.Finally, GCF of Fractions for 1500/874, 9143/436 is 1/190532.