GCF of 5512/135, 3981/9687
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5512/135, 3981/9687 i.e 1/435915 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5512/135, 3981/9687.
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 5512/135,3981/9687?
Given fractions are 5512/135,3981/9687
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 5512/135,3981/9687, numerators are 5512,3981
Denominators are 135,9687
The GCF of 5512,3981 is 1 .
LCM of 135,9687 is 435915.
The greatest common factor of 5512/135,3981/9687 = [GCF of 5512,3981]/[LCM of 135,9687]= 1/435915
Therefore, the GCF of 5512/135,3981/9687 is 1/435915.
To find the highest common factor of 5512,3981, we have to find the factors of both numbers and list the highest common factor.
The factors of 5512 are 1, 2, 4, 8, 13, 26, 52, 53, 104, 106, 212, 424, 689, 1378, 2756, 5512
The factors of 3981 are 1, 3, 1327, 3981
The HCF of 5512,3981 is 1.
Lets's calculate GCF of 5512,3981
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5512,3981 By Matching Biggest Common Factor Method
Now, list down the factors of 5512
:1,2,4,8,13,26,52,53,104,106,212,424,689,1378,2756,5512
Now, list down the factors of 3981
:1,3,1327,3981
Greatest Common Factor
We found the factors 5512,3981 . The biggest common factor number is the GCF number.
So the greatest common factor 5512,3981 is 1.
Lets's calculate LCM of 135,9687
| 3 | 135, 9687 |
| 45, 3229 |
∴ So the LCM of the given numbers is 3 x 45 x 3229 = 435915
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/435915
Therefore, the GCF of Fractions 5512/135,3981/9687 is 1/435915
Least Common Multiple of 135,9687 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 135,9687 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(135,9687) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(135,9687) x common factors =3 x 1 = 3
LCM(135,9687) = ( 135 × 9687 ) / 3
LCM(135,9687) = 1307745 / 3
LCM(135,9687) = 435915
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FAQs on GCF of Fractions of 5512/135, 3981/9687
1. What is the HCF of 5512,3981?
The HCF of 5512,3981 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 5512/135, 3981/9687?
Answer: GCF of Numerators as per given numbers 5512/135, 3981/9687 is
GCF of Numerators i.e. for 5512,3981 is 1
LCM of denominators i.e. for 135,9687 is 435915.
Thus, GCF of Fractions is 1/435915.Finally, GCF of Fractions for 5512/135, 3981/9687 is 1/435915.