GCF of 6417/744, 3486/1203
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6417/744, 3486/1203 i.e 3/298344 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6417/744, 3486/1203.
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 6417/744,3486/1203?
Given fractions are 6417/744,3486/1203
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 6417/744,3486/1203, numerators are 6417,3486
Denominators are 744,1203
The GCF of 6417,3486 is 3 .
LCM of 744,1203 is 298344.
The greatest common factor of 6417/744,3486/1203 = [GCF of 6417,3486]/[LCM of 744,1203]= 3/298344
Therefore, the GCF of 6417/744,3486/1203 is 3/298344.
To find the highest common factor of 6417,3486, we have to find the factors of both numbers and list the highest common factor.
The factors of 6417 are 1, 3, 9, 23, 31, 69, 93, 207, 279, 713, 2139, 6417
The factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486
The HCF of 6417,3486 is 3.
Lets's calculate GCF of 6417,3486
| 3 | 6417, 3486 |
| 2139, 1162 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6417,3486 By Matching Biggest Common Factor Method
Now, list down the factors of 6417
:1,3,9,23,31,69,93,207,279,713,2139,6417
Now, list down the factors of 3486
:1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Greatest Common Factor
We found the factors 6417,3486 . The biggest common factor number is the GCF number.
So the greatest common factor 6417,3486 is 3.
Lets's calculate LCM of 744,1203
| 3 | 744, 1203 |
| 248, 401 |
∴ So the LCM of the given numbers is 3 x 248 x 401 = 298344
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/298344
Therefore, the GCF of Fractions 6417/744,3486/1203 is 3/298344
Least Common Multiple of 744,1203 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 744,1203 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(744,1203) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(744,1203) x common factors =3 x 1 = 3
LCM(744,1203) = ( 744 × 1203 ) / 3
LCM(744,1203) = 895032 / 3
LCM(744,1203) = 298344
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FAQs on GCF of Fractions of 6417/744, 3486/1203
1. What is the HCF of 6417,3486?
The HCF of 6417,3486 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 6417/744, 3486/1203?
Answer: GCF of Numerators as per given numbers 6417/744, 3486/1203 is
GCF of Numerators i.e. for 6417,3486 is 3
LCM of denominators i.e. for 744,1203 is 298344.
Thus, GCF of Fractions is 3/298344.Finally, GCF of Fractions for 6417/744, 3486/1203 is 3/298344.