GCF of 7004/173, 3782/683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7004/173, 3782/683 i.e 2/118159 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7004/173, 3782/683.
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 7004/173,3782/683?
Given fractions are 7004/173,3782/683
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 7004/173,3782/683, numerators are 7004,3782
Denominators are 173,683
The GCF of 7004,3782 is 2 .
LCM of 173,683 is 118159.
The greatest common factor of 7004/173,3782/683 = [GCF of 7004,3782]/[LCM of 173,683]= 2/118159
Therefore, the GCF of 7004/173,3782/683 is 2/118159.
To find the highest common factor of 7004,3782, we have to find the factors of both numbers and list the highest common factor.
The factors of 7004 are 1, 2, 4, 17, 34, 68, 103, 206, 412, 1751, 3502, 7004
The factors of 3782 are 1, 2, 31, 61, 62, 122, 1891, 3782
The HCF of 7004,3782 is 2.
Lets's calculate GCF of 7004,3782
| 2 | 7004, 3782 |
| 3502, 1891 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 7004,3782 By Matching Biggest Common Factor Method
Now, list down the factors of 7004
:1,2,4,17,34,68,103,206,412,1751,3502,7004
Now, list down the factors of 3782
:1,2,31,61,62,122,1891,3782
Greatest Common Factor
We found the factors 7004,3782 . The biggest common factor number is the GCF number.
So the greatest common factor 7004,3782 is 2.
Lets's calculate LCM of 173,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 118159
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118159
Therefore, the GCF of Fractions 7004/173,3782/683 is 2/118159
Least Common Multiple of 173,683 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 173,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(173,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(173,683) x common factors =1 x 1 = 1
LCM(173,683) = ( 173 × 683 ) / 1
LCM(173,683) = 118159 / 1
LCM(173,683) = 118159
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FAQs on GCF of Fractions of 7004/173, 3782/683
1. What is the HCF of 7004,3782?
The HCF of 7004,3782 is 2
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 7004/173, 3782/683?
Answer: GCF of Numerators as per given numbers 7004/173, 3782/683 is
GCF of Numerators i.e. for 7004,3782 is 2
LCM of denominators i.e. for 173,683 is 118159.
Thus, GCF of Fractions is 2/118159.Finally, GCF of Fractions for 7004/173, 3782/683 is 2/118159.