GCF of 1113/641, 8019/8406
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1113/641, 8019/8406 i.e 3/5388246 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1113/641, 8019/8406.
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 1113/641,8019/8406?
Given fractions are 1113/641,8019/8406
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 1113/641,8019/8406, numerators are 1113,8019
Denominators are 641,8406
The GCF of 1113,8019 is 3 .
LCM of 641,8406 is 5388246.
The greatest common factor of 1113/641,8019/8406 = [GCF of 1113,8019]/[LCM of 641,8406]= 3/5388246
Therefore, the GCF of 1113/641,8019/8406 is 3/5388246.
To find the highest common factor of 1113,8019, we have to find the factors of both numbers and list the highest common factor.
The factors of 1113 are 1, 3, 7, 21, 53, 159, 371, 1113
The factors of 8019 are 1, 3, 9, 11, 27, 33, 81, 99, 243, 297, 729, 891, 2673, 8019
The HCF of 1113,8019 is 3.
Lets's calculate GCF of 1113,8019
| 3 | 1113, 8019 |
| 371, 2673 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1113,8019 By Matching Biggest Common Factor Method
Now, list down the factors of 1113
:1,3,7,21,53,159,371,1113
Now, list down the factors of 8019
:1,3,9,11,27,33,81,99,243,297,729,891,2673,8019
Greatest Common Factor
We found the factors 1113,8019 . The biggest common factor number is the GCF number.
So the greatest common factor 1113,8019 is 3.
Lets's calculate LCM of 641,8406
Given numbers has no common factors except 1. So, there LCM is their product i.e 5388246
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/5388246
Therefore, the GCF of Fractions 1113/641,8019/8406 is 3/5388246
Least Common Multiple of 641,8406 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 641,8406 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(641,8406) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(641,8406) x common factors =1 x 1 = 1
LCM(641,8406) = ( 641 × 8406 ) / 1
LCM(641,8406) = 5388246 / 1
LCM(641,8406) = 5388246
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FAQs on GCF of Fractions of 1113/641, 8019/8406
1. What is the HCF of 1113,8019?
The HCF of 1113,8019 is 3
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 1113/641, 8019/8406?
Answer: GCF of Numerators as per given numbers 1113/641, 8019/8406 is
GCF of Numerators i.e. for 1113,8019 is 3
LCM of denominators i.e. for 641,8406 is 5388246.
Thus, GCF of Fractions is 3/5388246.Finally, GCF of Fractions for 1113/641, 8019/8406 is 3/5388246.