GCF of 3866/638, 2690/6971
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3866/638, 2690/6971 i.e 2/4447498 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3866/638, 2690/6971.
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 3866/638,2690/6971?
Given fractions are 3866/638,2690/6971
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 3866/638,2690/6971, numerators are 3866,2690
Denominators are 638,6971
The GCF of 3866,2690 is 2 .
LCM of 638,6971 is 4447498.
The greatest common factor of 3866/638,2690/6971 = [GCF of 3866,2690]/[LCM of 638,6971]= 2/4447498
Therefore, the GCF of 3866/638,2690/6971 is 2/4447498.
To find the highest common factor of 3866,2690, we have to find the factors of both numbers and list the highest common factor.
The factors of 3866 are 1, 2, 1933, 3866
The factors of 2690 are 1, 2, 5, 10, 269, 538, 1345, 2690
The HCF of 3866,2690 is 2.
Lets's calculate GCF of 3866,2690
| 2 | 3866, 2690 |
| 1933, 1345 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3866,2690 By Matching Biggest Common Factor Method
Now, list down the factors of 3866
:1,2,1933,3866
Now, list down the factors of 2690
:1,2,5,10,269,538,1345,2690
Greatest Common Factor
We found the factors 3866,2690 . The biggest common factor number is the GCF number.
So the greatest common factor 3866,2690 is 2.
Lets's calculate LCM of 638,6971
Given numbers has no common factors except 1. So, there LCM is their product i.e 4447498
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4447498
Therefore, the GCF of Fractions 3866/638,2690/6971 is 2/4447498
Least Common Multiple of 638,6971 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 638,6971 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(638,6971) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(638,6971) x common factors =1 x 1 = 1
LCM(638,6971) = ( 638 × 6971 ) / 1
LCM(638,6971) = 4447498 / 1
LCM(638,6971) = 4447498
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FAQs on GCF of Fractions of 3866/638, 2690/6971
1. What is the HCF of 3866,2690?
The HCF of 3866,2690 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 3866/638, 2690/6971?
Answer: GCF of Numerators as per given numbers 3866/638, 2690/6971 is
GCF of Numerators i.e. for 3866,2690 is 2
LCM of denominators i.e. for 638,6971 is 4447498.
Thus, GCF of Fractions is 2/4447498.Finally, GCF of Fractions for 3866/638, 2690/6971 is 2/4447498.