GCF of 7301/172, 7782/9885
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7301/172, 7782/9885 i.e 1/1700220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7301/172, 7782/9885.
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 7301/172,7782/9885?
Given fractions are 7301/172,7782/9885
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 7301/172,7782/9885, numerators are 7301,7782
Denominators are 172,9885
The GCF of 7301,7782 is 1 .
LCM of 172,9885 is 1700220.
The greatest common factor of 7301/172,7782/9885 = [GCF of 7301,7782]/[LCM of 172,9885]= 1/1700220
Therefore, the GCF of 7301/172,7782/9885 is 1/1700220.
To find the highest common factor of 7301,7782, we have to find the factors of both numbers and list the highest common factor.
The factors of 7301 are 1, 7, 49, 149, 1043, 7301
The factors of 7782 are 1, 2, 3, 6, 1297, 2594, 3891, 7782
The HCF of 7301,7782 is 1.
Lets's calculate GCF of 7301,7782
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7301,7782 By Matching Biggest Common Factor Method
Now, list down the factors of 7301
:1,7,49,149,1043,7301
Now, list down the factors of 7782
:1,2,3,6,1297,2594,3891,7782
Greatest Common Factor
We found the factors 7301,7782 . The biggest common factor number is the GCF number.
So the greatest common factor 7301,7782 is 1.
Lets's calculate LCM of 172,9885
Given numbers has no common factors except 1. So, there LCM is their product i.e 1700220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1700220
Therefore, the GCF of Fractions 7301/172,7782/9885 is 1/1700220
Least Common Multiple of 172,9885 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 172,9885 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,9885) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,9885) x common factors =1 x 1 = 1
LCM(172,9885) = ( 172 × 9885 ) / 1
LCM(172,9885) = 1700220 / 1
LCM(172,9885) = 1700220
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FAQs on GCF of Fractions of 7301/172, 7782/9885
1. What is the HCF of 7301,7782?
The HCF of 7301,7782 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 7301/172, 7782/9885?
Answer: GCF of Numerators as per given numbers 7301/172, 7782/9885 is
GCF of Numerators i.e. for 7301,7782 is 1
LCM of denominators i.e. for 172,9885 is 1700220.
Thus, GCF of Fractions is 1/1700220.Finally, GCF of Fractions for 7301/172, 7782/9885 is 1/1700220.