GCF of 9524/875, 7315/1949
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9524/875, 7315/1949 i.e 1/1705375 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9524/875, 7315/1949.
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 9524/875,7315/1949?
Given fractions are 9524/875,7315/1949
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 9524/875,7315/1949, numerators are 9524,7315
Denominators are 875,1949
The GCF of 9524,7315 is 1 .
LCM of 875,1949 is 1705375.
The greatest common factor of 9524/875,7315/1949 = [GCF of 9524,7315]/[LCM of 875,1949]= 1/1705375
Therefore, the GCF of 9524/875,7315/1949 is 1/1705375.
To find the highest common factor of 9524,7315, we have to find the factors of both numbers and list the highest common factor.
The factors of 9524 are 1, 2, 4, 2381, 4762, 9524
The factors of 7315 are 1, 5, 7, 11, 19, 35, 55, 77, 95, 133, 209, 385, 665, 1045, 1463, 7315
The HCF of 9524,7315 is 1.
Lets's calculate GCF of 9524,7315
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9524,7315 By Matching Biggest Common Factor Method
Now, list down the factors of 9524
:1,2,4,2381,4762,9524
Now, list down the factors of 7315
:1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315
Greatest Common Factor
We found the factors 9524,7315 . The biggest common factor number is the GCF number.
So the greatest common factor 9524,7315 is 1.
Lets's calculate LCM of 875,1949
Given numbers has no common factors except 1. So, there LCM is their product i.e 1705375
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1705375
Therefore, the GCF of Fractions 9524/875,7315/1949 is 1/1705375
Least Common Multiple of 875,1949 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 875,1949 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(875,1949) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(875,1949) x common factors =1 x 1 = 1
LCM(875,1949) = ( 875 × 1949 ) / 1
LCM(875,1949) = 1705375 / 1
LCM(875,1949) = 1705375
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FAQs on GCF of Fractions of 9524/875, 7315/1949
1. What is the HCF of 9524,7315?
The HCF of 9524,7315 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 9524/875, 7315/1949?
Answer: GCF of Numerators as per given numbers 9524/875, 7315/1949 is
GCF of Numerators i.e. for 9524,7315 is 1
LCM of denominators i.e. for 875,1949 is 1705375.
Thus, GCF of Fractions is 1/1705375.Finally, GCF of Fractions for 9524/875, 7315/1949 is 1/1705375.