GCF of 3486/389, 1140/7159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3486/389, 1140/7159 i.e 6/2784851 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3486/389, 1140/7159.
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 3486/389,1140/7159?
Given fractions are 3486/389,1140/7159
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 3486/389,1140/7159, numerators are 3486,1140
Denominators are 389,7159
The GCF of 3486,1140 is 6 .
LCM of 389,7159 is 2784851.
The greatest common factor of 3486/389,1140/7159 = [GCF of 3486,1140]/[LCM of 389,7159]= 6/2784851
Therefore, the GCF of 3486/389,1140/7159 is 6/2784851.
To find the highest common factor of 3486,1140, we have to find the factors of both numbers and list the highest common factor.
The factors of 3486 are 1, 2, 3, 6, 7, 14, 21, 42, 83, 166, 249, 498, 581, 1162, 1743, 3486
The factors of 1140 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 19, 20, 30, 38, 57, 60, 76, 95, 114, 190, 228, 285, 380, 570, 1140
The HCF of 3486,1140 is 6.
Lets's calculate GCF of 3486,1140
| 2 | 3486, 1140 |
| 3 | 1743, 570 |
| 581, 190 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 3486,1140 By Matching Biggest Common Factor Method
Now, list down the factors of 3486
:1,2,3,6,7,14,21,42,83,166,249,498,581,1162,1743,3486
Now, list down the factors of 1140
:1,2,3,4,5,6,10,12,15,19,20,30,38,57,60,76,95,114,190,228,285,380,570,1140
Greatest Common Factor
We found the factors 3486,1140 . The biggest common factor number is the GCF number.
So the greatest common factor 3486,1140 is 6.
Lets's calculate LCM of 389,7159
Given numbers has no common factors except 1. So, there LCM is their product i.e 2784851
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/2784851
Therefore, the GCF of Fractions 3486/389,1140/7159 is 6/2784851
Least Common Multiple of 389,7159 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 389,7159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,7159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,7159) x common factors =1 x 1 = 1
LCM(389,7159) = ( 389 × 7159 ) / 1
LCM(389,7159) = 2784851 / 1
LCM(389,7159) = 2784851
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FAQs on GCF of Fractions of 3486/389, 1140/7159
1. What is the HCF of 3486,1140?
The HCF of 3486,1140 is 6
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 3486/389, 1140/7159?
Answer: GCF of Numerators as per given numbers 3486/389, 1140/7159 is
GCF of Numerators i.e. for 3486,1140 is 6
LCM of denominators i.e. for 389,7159 is 2784851.
Thus, GCF of Fractions is 6/2784851.Finally, GCF of Fractions for 3486/389, 1140/7159 is 6/2784851.