GCF of 1035/316, 8026/8228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1035/316, 8026/8228 i.e 1/650012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1035/316, 8026/8228.
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 1035/316,8026/8228?
Given fractions are 1035/316,8026/8228
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 1035/316,8026/8228, numerators are 1035,8026
Denominators are 316,8228
The GCF of 1035,8026 is 1 .
LCM of 316,8228 is 650012.
The greatest common factor of 1035/316,8026/8228 = [GCF of 1035,8026]/[LCM of 316,8228]= 1/650012
Therefore, the GCF of 1035/316,8026/8228 is 1/650012.
To find the highest common factor of 1035,8026, we have to find the factors of both numbers and list the highest common factor.
The factors of 1035 are 1, 3, 5, 9, 15, 23, 45, 69, 115, 207, 345, 1035
The factors of 8026 are 1, 2, 4013, 8026
The HCF of 1035,8026 is 1.
Lets's calculate GCF of 1035,8026
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1035,8026 By Matching Biggest Common Factor Method
Now, list down the factors of 1035
:1,3,5,9,15,23,45,69,115,207,345,1035
Now, list down the factors of 8026
:1,2,4013,8026
Greatest Common Factor
We found the factors 1035,8026 . The biggest common factor number is the GCF number.
So the greatest common factor 1035,8026 is 1.
Lets's calculate LCM of 316,8228
| 2 | 316, 8228 |
| 2 | 158, 4114 |
| 79, 2057 |
∴ So the LCM of the given numbers is 2 x 2 x 79 x 2057 = 650012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/650012
Therefore, the GCF of Fractions 1035/316,8026/8228 is 1/650012
Least Common Multiple of 316,8228 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 316,8228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(316,8228) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(316,8228) x common factors =4 x 1 = 4
LCM(316,8228) = ( 316 × 8228 ) / 4
LCM(316,8228) = 2600048 / 4
LCM(316,8228) = 650012
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FAQs on GCF of Fractions of 1035/316, 8026/8228
1. What is the HCF of 1035,8026?
The HCF of 1035,8026 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 1035/316, 8026/8228?
Answer: GCF of Numerators as per given numbers 1035/316, 8026/8228 is
GCF of Numerators i.e. for 1035,8026 is 1
LCM of denominators i.e. for 316,8228 is 650012.
Thus, GCF of Fractions is 1/650012.Finally, GCF of Fractions for 1035/316, 8026/8228 is 1/650012.