GCF of 1125/768, 1726/2486
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1125/768, 1726/2486 i.e 1/954624 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1125/768, 1726/2486.
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 1125/768,1726/2486?
Given fractions are 1125/768,1726/2486
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 1125/768,1726/2486, numerators are 1125,1726
Denominators are 768,2486
The GCF of 1125,1726 is 1 .
LCM of 768,2486 is 954624.
The greatest common factor of 1125/768,1726/2486 = [GCF of 1125,1726]/[LCM of 768,2486]= 1/954624
Therefore, the GCF of 1125/768,1726/2486 is 1/954624.
To find the highest common factor of 1125,1726, we have to find the factors of both numbers and list the highest common factor.
The factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125
The factors of 1726 are 1, 2, 863, 1726
The HCF of 1125,1726 is 1.
Lets's calculate GCF of 1125,1726
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1125,1726 By Matching Biggest Common Factor Method
Now, list down the factors of 1125
:1,3,5,9,15,25,45,75,125,225,375,1125
Now, list down the factors of 1726
:1,2,863,1726
Greatest Common Factor
We found the factors 1125,1726 . The biggest common factor number is the GCF number.
So the greatest common factor 1125,1726 is 1.
Lets's calculate LCM of 768,2486
| 2 | 768, 2486 |
| 384, 1243 |
∴ So the LCM of the given numbers is 2 x 384 x 1243 = 954624
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/954624
Therefore, the GCF of Fractions 1125/768,1726/2486 is 1/954624
Least Common Multiple of 768,2486 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 768,2486 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,2486) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(768,2486) x common factors =2 x 1 = 2
LCM(768,2486) = ( 768 × 2486 ) / 2
LCM(768,2486) = 1909248 / 2
LCM(768,2486) = 954624
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FAQs on GCF of Fractions of 1125/768, 1726/2486
1. What is the HCF of 1125,1726?
The HCF of 1125,1726 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 1125/768, 1726/2486?
Answer: GCF of Numerators as per given numbers 1125/768, 1726/2486 is
GCF of Numerators i.e. for 1125,1726 is 1
LCM of denominators i.e. for 768,2486 is 954624.
Thus, GCF of Fractions is 1/954624.Finally, GCF of Fractions for 1125/768, 1726/2486 is 1/954624.