GCF of 786/970, 8128/413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 786/970, 8128/413 i.e 2/400610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 786/970, 8128/413.
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 786/970,8128/413?
Given fractions are 786/970,8128/413
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 786/970,8128/413, numerators are 786,8128
Denominators are 970,413
The GCF of 786,8128 is 2 .
LCM of 970,413 is 400610.
The greatest common factor of 786/970,8128/413 = [GCF of 786,8128]/[LCM of 970,413]= 2/400610
Therefore, the GCF of 786/970,8128/413 is 2/400610.
To find the highest common factor of 786,8128, we have to find the factors of both numbers and list the highest common factor.
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The factors of 8128 are 1, 2, 4, 8, 16, 32, 64, 127, 254, 508, 1016, 2032, 4064, 8128
The HCF of 786,8128 is 2.
Lets's calculate GCF of 786,8128
| 2 | 786, 8128 |
| 393, 4064 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 786,8128 By Matching Biggest Common Factor Method
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Now, list down the factors of 8128
:1,2,4,8,16,32,64,127,254,508,1016,2032,4064,8128
Greatest Common Factor
We found the factors 786,8128 . The biggest common factor number is the GCF number.
So the greatest common factor 786,8128 is 2.
Lets's calculate LCM of 970,413
Given numbers has no common factors except 1. So, there LCM is their product i.e 400610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/400610
Therefore, the GCF of Fractions 786/970,8128/413 is 2/400610
Least Common Multiple of 970,413 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 970,413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(970,413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(970,413) x common factors =1 x 1 = 1
LCM(970,413) = ( 970 × 413 ) / 1
LCM(970,413) = 400610 / 1
LCM(970,413) = 400610
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FAQs on GCF of Fractions of 786/970, 8128/413
1. What is the HCF of 786,8128?
The HCF of 786,8128 is 2
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 786/970, 8128/413?
Answer: GCF of Numerators as per given numbers 786/970, 8128/413 is
GCF of Numerators i.e. for 786,8128 is 2
LCM of denominators i.e. for 970,413 is 400610.
Thus, GCF of Fractions is 2/400610.Finally, GCF of Fractions for 786/970, 8128/413 is 2/400610.