GCF of 13/118, 411/818, 968/106
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 13/118, 411/818, 968/106 i.e 1/2557886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 13/118, 411/818, 968/106.
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 13/118,411/818,968/106?
Given fractions are 13/118,411/818,968/106
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 13/118,411/818,968/106, numerators are 13,411,968
Denominators are 118,818,106
The GCF of 13,411,968 is 1 .
LCM of 118,818,106 is 2557886.
The greatest common factor of 13/118,411/818,968/106 = [GCF of 13,411,968]/[LCM of 118,818,106]= 1/2557886
Therefore, the GCF of 13/118,411/818,968/106 is 1/2557886.
To find the highest common factor of 13,411,968, we have to find the factors of both numbers and list the highest common factor.
The factors of 13 are 1, 13
The factors of 411 are 1, 3, 137, 411
The factors of 968 are 1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968
The HCF of 13,411,968 is 1.
Lets's calculate GCF of 13,411,968
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 13,411,968 By Matching Biggest Common Factor Method
Now, list down the factors of 13
:1,13
Now, list down the factors of 411
:1,3,137,411
Now, list down the factors of 968
:1,2,4,8,11,22,44,88,121,242,484,968
Greatest Common Factor
We found the factors 13,411,968 . The biggest common factor number is the GCF number.
So the greatest common factor 13,411,968 is 1.
Lets's calculate LCM of 118,818,106
| 2 | 118, 818, 106 |
| 59, 409, 53 |
∴ So the LCM of the given numbers is 2 x 59 x 409 x 53 = 2557886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2557886
Therefore, the GCF of Fractions 13/118,411/818,968/106 is 1/2557886
Least Common Multiple of 118,818,106 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 118,818,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(118,818,106) = 2
common factors(in case of two or more numbers have common factors) = 2
GCF(118,818,106) x common factors =2 x 2 = 4
LCM(118,818,106) = ( 118 × 818 × 106 ) / 4
LCM(118,818,106) = 10231544 / 4
LCM(118,818,106) = 2557886
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FAQs on GCF of Fractions of 13/118, 411/818, 968/106
1. What is the HCF of 13,411,968?
The HCF of 13,411,968 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 13/118, 411/818, 968/106?
Answer: GCF of Numerators as per given numbers 13/118, 411/818, 968/106 is
GCF of Numerators i.e. for 13,411,968 is 1
LCM of denominators i.e. for 118,818,106 is 2557886.
Thus, GCF of Fractions is 1/2557886.Finally, GCF of Fractions for 13/118, 411/818, 968/106 is 1/2557886.