GCF of 3138/403, 7106/683
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3138/403, 7106/683 i.e 2/275249 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3138/403, 7106/683.
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 3138/403,7106/683?
Given fractions are 3138/403,7106/683
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 3138/403,7106/683, numerators are 3138,7106
Denominators are 403,683
The GCF of 3138,7106 is 2 .
LCM of 403,683 is 275249.
The greatest common factor of 3138/403,7106/683 = [GCF of 3138,7106]/[LCM of 403,683]= 2/275249
Therefore, the GCF of 3138/403,7106/683 is 2/275249.
To find the highest common factor of 3138,7106, we have to find the factors of both numbers and list the highest common factor.
The factors of 3138 are 1, 2, 3, 6, 523, 1046, 1569, 3138
The factors of 7106 are 1, 2, 11, 17, 19, 22, 34, 38, 187, 209, 323, 374, 418, 646, 3553, 7106
The HCF of 3138,7106 is 2.
Lets's calculate GCF of 3138,7106
| 2 | 3138, 7106 |
| 1569, 3553 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3138,7106 By Matching Biggest Common Factor Method
Now, list down the factors of 3138
:1,2,3,6,523,1046,1569,3138
Now, list down the factors of 7106
:1,2,11,17,19,22,34,38,187,209,323,374,418,646,3553,7106
Greatest Common Factor
We found the factors 3138,7106 . The biggest common factor number is the GCF number.
So the greatest common factor 3138,7106 is 2.
Lets's calculate LCM of 403,683
Given numbers has no common factors except 1. So, there LCM is their product i.e 275249
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/275249
Therefore, the GCF of Fractions 3138/403,7106/683 is 2/275249
Least Common Multiple of 403,683 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 403,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(403,683) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(403,683) x common factors =1 x 1 = 1
LCM(403,683) = ( 403 × 683 ) / 1
LCM(403,683) = 275249 / 1
LCM(403,683) = 275249
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FAQs on GCF of Fractions of 3138/403, 7106/683
1. What is the HCF of 3138,7106?
The HCF of 3138,7106 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 3138/403, 7106/683?
Answer: GCF of Numerators as per given numbers 3138/403, 7106/683 is
GCF of Numerators i.e. for 3138,7106 is 2
LCM of denominators i.e. for 403,683 is 275249.
Thus, GCF of Fractions is 2/275249.Finally, GCF of Fractions for 3138/403, 7106/683 is 2/275249.