GCF of 9035/699, 2724/242
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9035/699, 2724/242 i.e 1/169158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9035/699, 2724/242.
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 9035/699,2724/242?
Given fractions are 9035/699,2724/242
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 9035/699,2724/242, numerators are 9035,2724
Denominators are 699,242
The GCF of 9035,2724 is 1 .
LCM of 699,242 is 169158.
The greatest common factor of 9035/699,2724/242 = [GCF of 9035,2724]/[LCM of 699,242]= 1/169158
Therefore, the GCF of 9035/699,2724/242 is 1/169158.
To find the highest common factor of 9035,2724, we have to find the factors of both numbers and list the highest common factor.
The factors of 9035 are 1, 5, 13, 65, 139, 695, 1807, 9035
The factors of 2724 are 1, 2, 3, 4, 6, 12, 227, 454, 681, 908, 1362, 2724
The HCF of 9035,2724 is 1.
Lets's calculate GCF of 9035,2724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9035,2724 By Matching Biggest Common Factor Method
Now, list down the factors of 9035
:1,5,13,65,139,695,1807,9035
Now, list down the factors of 2724
:1,2,3,4,6,12,227,454,681,908,1362,2724
Greatest Common Factor
We found the factors 9035,2724 . The biggest common factor number is the GCF number.
So the greatest common factor 9035,2724 is 1.
Lets's calculate LCM of 699,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 169158
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/169158
Therefore, the GCF of Fractions 9035/699,2724/242 is 1/169158
Least Common Multiple of 699,242 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 699,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(699,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(699,242) x common factors =1 x 1 = 1
LCM(699,242) = ( 699 × 242 ) / 1
LCM(699,242) = 169158 / 1
LCM(699,242) = 169158
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FAQs on GCF of Fractions of 9035/699, 2724/242
1. What is the HCF of 9035,2724?
The HCF of 9035,2724 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 9035/699, 2724/242?
Answer: GCF of Numerators as per given numbers 9035/699, 2724/242 is
GCF of Numerators i.e. for 9035,2724 is 1
LCM of denominators i.e. for 699,242 is 169158.
Thus, GCF of Fractions is 1/169158.Finally, GCF of Fractions for 9035/699, 2724/242 is 1/169158.