GCF of 1288/618, 3747/9645
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1288/618, 3747/9645 i.e 1/1986870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1288/618, 3747/9645.
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 1288/618,3747/9645?
Given fractions are 1288/618,3747/9645
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 1288/618,3747/9645, numerators are 1288,3747
Denominators are 618,9645
The GCF of 1288,3747 is 1 .
LCM of 618,9645 is 1986870.
The greatest common factor of 1288/618,3747/9645 = [GCF of 1288,3747]/[LCM of 618,9645]= 1/1986870
Therefore, the GCF of 1288/618,3747/9645 is 1/1986870.
To find the highest common factor of 1288,3747, we have to find the factors of both numbers and list the highest common factor.
The factors of 1288 are 1, 2, 4, 7, 8, 14, 23, 28, 46, 56, 92, 161, 184, 322, 644, 1288
The factors of 3747 are 1, 3, 1249, 3747
The HCF of 1288,3747 is 1.
Lets's calculate GCF of 1288,3747
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1288,3747 By Matching Biggest Common Factor Method
Now, list down the factors of 1288
:1,2,4,7,8,14,23,28,46,56,92,161,184,322,644,1288
Now, list down the factors of 3747
:1,3,1249,3747
Greatest Common Factor
We found the factors 1288,3747 . The biggest common factor number is the GCF number.
So the greatest common factor 1288,3747 is 1.
Lets's calculate LCM of 618,9645
| 3 | 618, 9645 |
| 206, 3215 |
∴ So the LCM of the given numbers is 3 x 206 x 3215 = 1986870
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1986870
Therefore, the GCF of Fractions 1288/618,3747/9645 is 1/1986870
Least Common Multiple of 618,9645 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 618,9645 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(618,9645) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(618,9645) x common factors =3 x 1 = 3
LCM(618,9645) = ( 618 × 9645 ) / 3
LCM(618,9645) = 5960610 / 3
LCM(618,9645) = 1986870
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FAQs on GCF of Fractions of 1288/618, 3747/9645
1. What is the HCF of 1288,3747?
The HCF of 1288,3747 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 1288/618, 3747/9645?
Answer: GCF of Numerators as per given numbers 1288/618, 3747/9645 is
GCF of Numerators i.e. for 1288,3747 is 1
LCM of denominators i.e. for 618,9645 is 1986870.
Thus, GCF of Fractions is 1/1986870.Finally, GCF of Fractions for 1288/618, 3747/9645 is 1/1986870.