GCF of 6026/896, 6495/8290
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6026/896, 6495/8290 i.e 1/3713920 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6026/896, 6495/8290.
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 6026/896,6495/8290?
Given fractions are 6026/896,6495/8290
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 6026/896,6495/8290, numerators are 6026,6495
Denominators are 896,8290
The GCF of 6026,6495 is 1 .
LCM of 896,8290 is 3713920.
The greatest common factor of 6026/896,6495/8290 = [GCF of 6026,6495]/[LCM of 896,8290]= 1/3713920
Therefore, the GCF of 6026/896,6495/8290 is 1/3713920.
To find the highest common factor of 6026,6495, we have to find the factors of both numbers and list the highest common factor.
The factors of 6026 are 1, 2, 23, 46, 131, 262, 3013, 6026
The factors of 6495 are 1, 3, 5, 15, 433, 1299, 2165, 6495
The HCF of 6026,6495 is 1.
Lets's calculate GCF of 6026,6495
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6026,6495 By Matching Biggest Common Factor Method
Now, list down the factors of 6026
:1,2,23,46,131,262,3013,6026
Now, list down the factors of 6495
:1,3,5,15,433,1299,2165,6495
Greatest Common Factor
We found the factors 6026,6495 . The biggest common factor number is the GCF number.
So the greatest common factor 6026,6495 is 1.
Lets's calculate LCM of 896,8290
| 2 | 896, 8290 |
| 448, 4145 |
∴ So the LCM of the given numbers is 2 x 448 x 4145 = 3713920
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3713920
Therefore, the GCF of Fractions 6026/896,6495/8290 is 1/3713920
Least Common Multiple of 896,8290 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 896,8290 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(896,8290) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(896,8290) x common factors =2 x 1 = 2
LCM(896,8290) = ( 896 × 8290 ) / 2
LCM(896,8290) = 7427840 / 2
LCM(896,8290) = 3713920
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FAQs on GCF of Fractions of 6026/896, 6495/8290
1. What is the HCF of 6026,6495?
The HCF of 6026,6495 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 6026/896, 6495/8290?
Answer: GCF of Numerators as per given numbers 6026/896, 6495/8290 is
GCF of Numerators i.e. for 6026,6495 is 1
LCM of denominators i.e. for 896,8290 is 3713920.
Thus, GCF of Fractions is 1/3713920.Finally, GCF of Fractions for 6026/896, 6495/8290 is 1/3713920.