GCF of 1312/390, 8920/3811
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1312/390, 8920/3811 i.e 8/1486290 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1312/390, 8920/3811.
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 1312/390,8920/3811?
Given fractions are 1312/390,8920/3811
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 1312/390,8920/3811, numerators are 1312,8920
Denominators are 390,3811
The GCF of 1312,8920 is 8 .
LCM of 390,3811 is 1486290.
The greatest common factor of 1312/390,8920/3811 = [GCF of 1312,8920]/[LCM of 390,3811]= 8/1486290
Therefore, the GCF of 1312/390,8920/3811 is 8/1486290.
To find the highest common factor of 1312,8920, we have to find the factors of both numbers and list the highest common factor.
The factors of 1312 are 1, 2, 4, 8, 16, 32, 41, 82, 164, 328, 656, 1312
The factors of 8920 are 1, 2, 4, 5, 8, 10, 20, 40, 223, 446, 892, 1115, 1784, 2230, 4460, 8920
The HCF of 1312,8920 is 8.
Lets's calculate GCF of 1312,8920
| 2 | 1312, 8920 |
| 2 | 656, 4460 |
| 2 | 328, 2230 |
| 164, 1115 |
∴ So the GCF of the given numbers is 2 x 2 x 2 = 8
Greatest Common Factor of 1312,8920 By Matching Biggest Common Factor Method
Now, list down the factors of 1312
:1,2,4,8,16,32,41,82,164,328,656,1312
Now, list down the factors of 8920
:1,2,4,5,8,10,20,40,223,446,892,1115,1784,2230,4460,8920
Greatest Common Factor
We found the factors 1312,8920 . The biggest common factor number is the GCF number.
So the greatest common factor 1312,8920 is 8.
Lets's calculate LCM of 390,3811
Given numbers has no common factors except 1. So, there LCM is their product i.e 1486290
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1486290
Therefore, the GCF of Fractions 1312/390,8920/3811 is 8/1486290
Least Common Multiple of 390,3811 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 390,3811 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,3811) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(390,3811) x common factors =1 x 1 = 1
LCM(390,3811) = ( 390 × 3811 ) / 1
LCM(390,3811) = 1486290 / 1
LCM(390,3811) = 1486290
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FAQs on GCF of Fractions of 1312/390, 8920/3811
1. What is the HCF of 1312,8920?
The HCF of 1312,8920 is 8
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 1312/390, 8920/3811?
Answer: GCF of Numerators as per given numbers 1312/390, 8920/3811 is
GCF of Numerators i.e. for 1312,8920 is 8
LCM of denominators i.e. for 390,3811 is 1486290.
Thus, GCF of Fractions is 8/1486290.Finally, GCF of Fractions for 1312/390, 8920/3811 is 8/1486290.