GCF of 1000/172, 7567/149
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1000/172, 7567/149 i.e 1/25628 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1000/172, 7567/149.
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 1000/172,7567/149?
Given fractions are 1000/172,7567/149
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 1000/172,7567/149, numerators are 1000,7567
Denominators are 172,149
The GCF of 1000,7567 is 1 .
LCM of 172,149 is 25628.
The greatest common factor of 1000/172,7567/149 = [GCF of 1000,7567]/[LCM of 172,149]= 1/25628
Therefore, the GCF of 1000/172,7567/149 is 1/25628.
To find the highest common factor of 1000,7567, we have to find the factors of both numbers and list the highest common factor.
The factors of 1000 are 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000
The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567
The HCF of 1000,7567 is 1.
Lets's calculate GCF of 1000,7567
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1000,7567 By Matching Biggest Common Factor Method
Now, list down the factors of 1000
:1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,1000
Now, list down the factors of 7567
:1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors 1000,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 1000,7567 is 1.
Lets's calculate LCM of 172,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 25628
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25628
Therefore, the GCF of Fractions 1000/172,7567/149 is 1/25628
Least Common Multiple of 172,149 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 172,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,149) x common factors =1 x 1 = 1
LCM(172,149) = ( 172 × 149 ) / 1
LCM(172,149) = 25628 / 1
LCM(172,149) = 25628
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1000/172, 7567/149
1. What is the HCF of 1000,7567?
The HCF of 1000,7567 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 1000/172, 7567/149?
Answer: GCF of Numerators as per given numbers 1000/172, 7567/149 is
GCF of Numerators i.e. for 1000,7567 is 1
LCM of denominators i.e. for 172,149 is 25628.
Thus, GCF of Fractions is 1/25628.Finally, GCF of Fractions for 1000/172, 7567/149 is 1/25628.