GCF of 1215/832, 3430/8076
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1215/832, 3430/8076 i.e 5/1679808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1215/832, 3430/8076.
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 1215/832,3430/8076?
Given fractions are 1215/832,3430/8076
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 1215/832,3430/8076, numerators are 1215,3430
Denominators are 832,8076
The GCF of 1215,3430 is 5 .
LCM of 832,8076 is 1679808.
The greatest common factor of 1215/832,3430/8076 = [GCF of 1215,3430]/[LCM of 832,8076]= 5/1679808
Therefore, the GCF of 1215/832,3430/8076 is 5/1679808.
To find the highest common factor of 1215,3430, we have to find the factors of both numbers and list the highest common factor.
The factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
The factors of 3430 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 343, 490, 686, 1715, 3430
The HCF of 1215,3430 is 5.
Lets's calculate GCF of 1215,3430
| 5 | 1215, 3430 |
| 243, 686 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1215,3430 By Matching Biggest Common Factor Method
Now, list down the factors of 1215
:1,3,5,9,15,27,45,81,135,243,405,1215
Now, list down the factors of 3430
:1,2,5,7,10,14,35,49,70,98,245,343,490,686,1715,3430
Greatest Common Factor
We found the factors 1215,3430 . The biggest common factor number is the GCF number.
So the greatest common factor 1215,3430 is 5.
Lets's calculate LCM of 832,8076
| 2 | 832, 8076 |
| 2 | 416, 4038 |
| 208, 2019 |
∴ So the LCM of the given numbers is 2 x 2 x 208 x 2019 = 1679808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1679808
Therefore, the GCF of Fractions 1215/832,3430/8076 is 5/1679808
Least Common Multiple of 832,8076 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 832,8076 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(832,8076) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(832,8076) x common factors =4 x 1 = 4
LCM(832,8076) = ( 832 × 8076 ) / 4
LCM(832,8076) = 6719232 / 4
LCM(832,8076) = 1679808
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FAQs on GCF of Fractions of 1215/832, 3430/8076
1. What is the HCF of 1215,3430?
The HCF of 1215,3430 is 5
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 1215/832, 3430/8076?
Answer: GCF of Numerators as per given numbers 1215/832, 3430/8076 is
GCF of Numerators i.e. for 1215,3430 is 5
LCM of denominators i.e. for 832,8076 is 1679808.
Thus, GCF of Fractions is 5/1679808.Finally, GCF of Fractions for 1215/832, 3430/8076 is 5/1679808.