GCF of 1540/334, 2366/4391
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1540/334, 2366/4391 i.e 14/1466594 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1540/334, 2366/4391.
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 1540/334,2366/4391?
Given fractions are 1540/334,2366/4391
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 1540/334,2366/4391, numerators are 1540,2366
Denominators are 334,4391
The GCF of 1540,2366 is 14 .
LCM of 334,4391 is 1466594.
The greatest common factor of 1540/334,2366/4391 = [GCF of 1540,2366]/[LCM of 334,4391]= 14/1466594
Therefore, the GCF of 1540/334,2366/4391 is 14/1466594.
To find the highest common factor of 1540,2366, we have to find the factors of both numbers and list the highest common factor.
The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540
The factors of 2366 are 1, 2, 7, 13, 14, 26, 91, 169, 182, 338, 1183, 2366
The HCF of 1540,2366 is 14.
Lets's calculate GCF of 1540,2366
| 2 | 1540, 2366 |
| 7 | 770, 1183 |
| 110, 169 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1540,2366 By Matching Biggest Common Factor Method
Now, list down the factors of 1540
:1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540
Now, list down the factors of 2366
:1,2,7,13,14,26,91,169,182,338,1183,2366
Greatest Common Factor
We found the factors 1540,2366 . The biggest common factor number is the GCF number.
So the greatest common factor 1540,2366 is 14.
Lets's calculate LCM of 334,4391
Given numbers has no common factors except 1. So, there LCM is their product i.e 1466594
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1466594
Therefore, the GCF of Fractions 1540/334,2366/4391 is 14/1466594
Least Common Multiple of 334,4391 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 334,4391 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,4391) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(334,4391) x common factors =1 x 1 = 1
LCM(334,4391) = ( 334 × 4391 ) / 1
LCM(334,4391) = 1466594 / 1
LCM(334,4391) = 1466594
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FAQs on GCF of Fractions of 1540/334, 2366/4391
1. What is the HCF of 1540,2366?
The HCF of 1540,2366 is 14
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 1540/334, 2366/4391?
Answer: GCF of Numerators as per given numbers 1540/334, 2366/4391 is
GCF of Numerators i.e. for 1540,2366 is 14
LCM of denominators i.e. for 334,4391 is 1466594.
Thus, GCF of Fractions is 14/1466594.Finally, GCF of Fractions for 1540/334, 2366/4391 is 14/1466594.