GCF of 7693/439, 3962/187
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7693/439, 3962/187 i.e 7/82093 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7693/439, 3962/187.
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 7693/439,3962/187?
Given fractions are 7693/439,3962/187
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 7693/439,3962/187, numerators are 7693,3962
Denominators are 439,187
The GCF of 7693,3962 is 7 .
LCM of 439,187 is 82093.
The greatest common factor of 7693/439,3962/187 = [GCF of 7693,3962]/[LCM of 439,187]= 7/82093
Therefore, the GCF of 7693/439,3962/187 is 7/82093.
To find the highest common factor of 7693,3962, we have to find the factors of both numbers and list the highest common factor.
The factors of 7693 are 1, 7, 49, 157, 1099, 7693
The factors of 3962 are 1, 2, 7, 14, 283, 566, 1981, 3962
The HCF of 7693,3962 is 7.
Lets's calculate GCF of 7693,3962
| 7 | 7693, 3962 |
| 1099, 566 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 7693,3962 By Matching Biggest Common Factor Method
Now, list down the factors of 7693
:1,7,49,157,1099,7693
Now, list down the factors of 3962
:1,2,7,14,283,566,1981,3962
Greatest Common Factor
We found the factors 7693,3962 . The biggest common factor number is the GCF number.
So the greatest common factor 7693,3962 is 7.
Lets's calculate LCM of 439,187
Given numbers has no common factors except 1. So, there LCM is their product i.e 82093
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/82093
Therefore, the GCF of Fractions 7693/439,3962/187 is 7/82093
Least Common Multiple of 439,187 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 439,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(439,187) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(439,187) x common factors =1 x 1 = 1
LCM(439,187) = ( 439 × 187 ) / 1
LCM(439,187) = 82093 / 1
LCM(439,187) = 82093
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FAQs on GCF of Fractions of 7693/439, 3962/187
1. What is the HCF of 7693,3962?
The HCF of 7693,3962 is 7
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 7693/439, 3962/187?
Answer: GCF of Numerators as per given numbers 7693/439, 3962/187 is
GCF of Numerators i.e. for 7693,3962 is 7
LCM of denominators i.e. for 439,187 is 82093.
Thus, GCF of Fractions is 7/82093.Finally, GCF of Fractions for 7693/439, 3962/187 is 7/82093.