GCF of 3115/325, 1232/1340
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3115/325, 1232/1340 i.e 7/87100 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3115/325, 1232/1340.
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 3115/325,1232/1340?
Given fractions are 3115/325,1232/1340
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 3115/325,1232/1340, numerators are 3115,1232
Denominators are 325,1340
The GCF of 3115,1232 is 7 .
LCM of 325,1340 is 87100.
The greatest common factor of 3115/325,1232/1340 = [GCF of 3115,1232]/[LCM of 325,1340]= 7/87100
Therefore, the GCF of 3115/325,1232/1340 is 7/87100.
To find the highest common factor of 3115,1232, we have to find the factors of both numbers and list the highest common factor.
The factors of 3115 are 1, 5, 7, 35, 89, 445, 623, 3115
The factors of 1232 are 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 44, 56, 77, 88, 112, 154, 176, 308, 616, 1232
The HCF of 3115,1232 is 7.
Lets's calculate GCF of 3115,1232
| 7 | 3115, 1232 |
| 445, 176 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 3115,1232 By Matching Biggest Common Factor Method
Now, list down the factors of 3115
:1,5,7,35,89,445,623,3115
Now, list down the factors of 1232
:1,2,4,7,8,11,14,16,22,28,44,56,77,88,112,154,176,308,616,1232
Greatest Common Factor
We found the factors 3115,1232 . The biggest common factor number is the GCF number.
So the greatest common factor 3115,1232 is 7.
Lets's calculate LCM of 325,1340
| 5 | 325, 1340 |
| 65, 268 |
∴ So the LCM of the given numbers is 5 x 65 x 268 = 87100
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/87100
Therefore, the GCF of Fractions 3115/325,1232/1340 is 7/87100
Least Common Multiple of 325,1340 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 325,1340 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(325,1340) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(325,1340) x common factors =5 x 1 = 5
LCM(325,1340) = ( 325 × 1340 ) / 5
LCM(325,1340) = 435500 / 5
LCM(325,1340) = 87100
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FAQs on GCF of Fractions of 3115/325, 1232/1340
1. What is the HCF of 3115,1232?
The HCF of 3115,1232 is 7
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 3115/325, 1232/1340?
Answer: GCF of Numerators as per given numbers 3115/325, 1232/1340 is
GCF of Numerators i.e. for 3115,1232 is 7
LCM of denominators i.e. for 325,1340 is 87100.
Thus, GCF of Fractions is 7/87100.Finally, GCF of Fractions for 3115/325, 1232/1340 is 7/87100.