GCF of 1369/260, 2432/3078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1369/260, 2432/3078 i.e 1/400140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1369/260, 2432/3078.
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 1369/260,2432/3078?
Given fractions are 1369/260,2432/3078
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 1369/260,2432/3078, numerators are 1369,2432
Denominators are 260,3078
The GCF of 1369,2432 is 1 .
LCM of 260,3078 is 400140.
The greatest common factor of 1369/260,2432/3078 = [GCF of 1369,2432]/[LCM of 260,3078]= 1/400140
Therefore, the GCF of 1369/260,2432/3078 is 1/400140.
To find the highest common factor of 1369,2432, we have to find the factors of both numbers and list the highest common factor.
The factors of 1369 are 1, 37, 1369
The factors of 2432 are 1, 2, 4, 8, 16, 19, 32, 38, 64, 76, 128, 152, 304, 608, 1216, 2432
The HCF of 1369,2432 is 1.
Lets's calculate GCF of 1369,2432
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1369,2432 By Matching Biggest Common Factor Method
Now, list down the factors of 1369
:1,37,1369
Now, list down the factors of 2432
:1,2,4,8,16,19,32,38,64,76,128,152,304,608,1216,2432
Greatest Common Factor
We found the factors 1369,2432 . The biggest common factor number is the GCF number.
So the greatest common factor 1369,2432 is 1.
Lets's calculate LCM of 260,3078
| 2 | 260, 3078 |
| 130, 1539 |
∴ So the LCM of the given numbers is 2 x 130 x 1539 = 400140
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/400140
Therefore, the GCF of Fractions 1369/260,2432/3078 is 1/400140
Least Common Multiple of 260,3078 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 260,3078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(260,3078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(260,3078) x common factors =2 x 1 = 2
LCM(260,3078) = ( 260 × 3078 ) / 2
LCM(260,3078) = 800280 / 2
LCM(260,3078) = 400140
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FAQs on GCF of Fractions of 1369/260, 2432/3078
1. What is the HCF of 1369,2432?
The HCF of 1369,2432 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 1369/260, 2432/3078?
Answer: GCF of Numerators as per given numbers 1369/260, 2432/3078 is
GCF of Numerators i.e. for 1369,2432 is 1
LCM of denominators i.e. for 260,3078 is 400140.
Thus, GCF of Fractions is 1/400140.Finally, GCF of Fractions for 1369/260, 2432/3078 is 1/400140.