GCF of 1350/529, 2500/667
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1350/529, 2500/667 i.e 50/15341 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1350/529, 2500/667.
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 1350/529,2500/667?
Given fractions are 1350/529,2500/667
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 1350/529,2500/667, numerators are 1350,2500
Denominators are 529,667
The GCF of 1350,2500 is 50 .
LCM of 529,667 is 15341.
The greatest common factor of 1350/529,2500/667 = [GCF of 1350,2500]/[LCM of 529,667]= 50/15341
Therefore, the GCF of 1350/529,2500/667 is 50/15341.
To find the highest common factor of 1350,2500, we have to find the factors of both numbers and list the highest common factor.
The factors of 1350 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 27, 30, 45, 50, 54, 75, 90, 135, 150, 225, 270, 450, 675, 1350
The factors of 2500 are 1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500, 625, 1250, 2500
The HCF of 1350,2500 is 50.
Lets's calculate GCF of 1350,2500
| 2 | 1350, 2500 |
| 5 | 675, 1250 |
| 5 | 135, 250 |
| 27, 50 |
∴ So the GCF of the given numbers is 2 x 5 x 5 = 50
Greatest Common Factor of 1350,2500 By Matching Biggest Common Factor Method
Now, list down the factors of 1350
:1,2,3,5,6,9,10,15,18,25,27,30,45,50,54,75,90,135,150,225,270,450,675,1350
Now, list down the factors of 2500
:1,2,4,5,10,20,25,50,100,125,250,500,625,1250,2500
Greatest Common Factor
We found the factors 1350,2500 . The biggest common factor number is the GCF number.
So the greatest common factor 1350,2500 is 50.
Lets's calculate LCM of 529,667
| 23 | 529, 667 |
| 23, 29 |
∴ So the LCM of the given numbers is 23 x 23 x 29 = 15341
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 50/15341
Therefore, the GCF of Fractions 1350/529,2500/667 is 50/15341
Least Common Multiple of 529,667 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 529,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(529,667) = 23
common factors(in case of two or more numbers have common factors) = 1
GCF(529,667) x common factors =23 x 1 = 23
LCM(529,667) = ( 529 × 667 ) / 23
LCM(529,667) = 352843 / 23
LCM(529,667) = 15341
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FAQs on GCF of Fractions of 1350/529, 2500/667
1. What is the HCF of 1350,2500?
The HCF of 1350,2500 is 50
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 1350/529, 2500/667?
Answer: GCF of Numerators as per given numbers 1350/529, 2500/667 is
GCF of Numerators i.e. for 1350,2500 is 50
LCM of denominators i.e. for 529,667 is 15341.
Thus, GCF of Fractions is 50/15341.Finally, GCF of Fractions for 1350/529, 2500/667 is 50/15341.