GCF of 7055/492, 9846/4331
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7055/492, 9846/4331 i.e 1/2130852 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7055/492, 9846/4331.
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 7055/492,9846/4331?
Given fractions are 7055/492,9846/4331
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 7055/492,9846/4331, numerators are 7055,9846
Denominators are 492,4331
The GCF of 7055,9846 is 1 .
LCM of 492,4331 is 2130852.
The greatest common factor of 7055/492,9846/4331 = [GCF of 7055,9846]/[LCM of 492,4331]= 1/2130852
Therefore, the GCF of 7055/492,9846/4331 is 1/2130852.
To find the highest common factor of 7055,9846, we have to find the factors of both numbers and list the highest common factor.
The factors of 7055 are 1, 5, 17, 83, 85, 415, 1411, 7055
The factors of 9846 are 1, 2, 3, 6, 9, 18, 547, 1094, 1641, 3282, 4923, 9846
The HCF of 7055,9846 is 1.
Lets's calculate GCF of 7055,9846
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7055,9846 By Matching Biggest Common Factor Method
Now, list down the factors of 7055
:1,5,17,83,85,415,1411,7055
Now, list down the factors of 9846
:1,2,3,6,9,18,547,1094,1641,3282,4923,9846
Greatest Common Factor
We found the factors 7055,9846 . The biggest common factor number is the GCF number.
So the greatest common factor 7055,9846 is 1.
Lets's calculate LCM of 492,4331
Given numbers has no common factors except 1. So, there LCM is their product i.e 2130852
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2130852
Therefore, the GCF of Fractions 7055/492,9846/4331 is 1/2130852
Least Common Multiple of 492,4331 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 492,4331 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,4331) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(492,4331) x common factors =1 x 1 = 1
LCM(492,4331) = ( 492 × 4331 ) / 1
LCM(492,4331) = 2130852 / 1
LCM(492,4331) = 2130852
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FAQs on GCF of Fractions of 7055/492, 9846/4331
1. What is the HCF of 7055,9846?
The HCF of 7055,9846 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 7055/492, 9846/4331?
Answer: GCF of Numerators as per given numbers 7055/492, 9846/4331 is
GCF of Numerators i.e. for 7055,9846 is 1
LCM of denominators i.e. for 492,4331 is 2130852.
Thus, GCF of Fractions is 1/2130852.Finally, GCF of Fractions for 7055/492, 9846/4331 is 1/2130852.