GCF of 7034/181, 9683/7274
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7034/181, 9683/7274 i.e 1/1316594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7034/181, 9683/7274.
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 7034/181,9683/7274?
Given fractions are 7034/181,9683/7274
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 7034/181,9683/7274, numerators are 7034,9683
Denominators are 181,7274
The GCF of 7034,9683 is 1 .
LCM of 181,7274 is 1316594.
The greatest common factor of 7034/181,9683/7274 = [GCF of 7034,9683]/[LCM of 181,7274]= 1/1316594
Therefore, the GCF of 7034/181,9683/7274 is 1/1316594.
To find the highest common factor of 7034,9683, we have to find the factors of both numbers and list the highest common factor.
The factors of 7034 are 1, 2, 3517, 7034
The factors of 9683 are 1, 23, 421, 9683
The HCF of 7034,9683 is 1.
Lets's calculate GCF of 7034,9683
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7034,9683 By Matching Biggest Common Factor Method
Now, list down the factors of 7034
:1,2,3517,7034
Now, list down the factors of 9683
:1,23,421,9683
Greatest Common Factor
We found the factors 7034,9683 . The biggest common factor number is the GCF number.
So the greatest common factor 7034,9683 is 1.
Lets's calculate LCM of 181,7274
Given numbers has no common factors except 1. So, there LCM is their product i.e 1316594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1316594
Therefore, the GCF of Fractions 7034/181,9683/7274 is 1/1316594
Least Common Multiple of 181,7274 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 181,7274 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(181,7274) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(181,7274) x common factors =1 x 1 = 1
LCM(181,7274) = ( 181 × 7274 ) / 1
LCM(181,7274) = 1316594 / 1
LCM(181,7274) = 1316594
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FAQs on GCF of Fractions of 7034/181, 9683/7274
1. What is the HCF of 7034,9683?
The HCF of 7034,9683 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 7034/181, 9683/7274?
Answer: GCF of Numerators as per given numbers 7034/181, 9683/7274 is
GCF of Numerators i.e. for 7034,9683 is 1
LCM of denominators i.e. for 181,7274 is 1316594.
Thus, GCF of Fractions is 1/1316594.Finally, GCF of Fractions for 7034/181, 9683/7274 is 1/1316594.