GCF of 1036/817, 6788/8470
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1036/817, 6788/8470 i.e 4/6919990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1036/817, 6788/8470.
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 1036/817,6788/8470?
Given fractions are 1036/817,6788/8470
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 1036/817,6788/8470, numerators are 1036,6788
Denominators are 817,8470
The GCF of 1036,6788 is 4 .
LCM of 817,8470 is 6919990.
The greatest common factor of 1036/817,6788/8470 = [GCF of 1036,6788]/[LCM of 817,8470]= 4/6919990
Therefore, the GCF of 1036/817,6788/8470 is 4/6919990.
To find the highest common factor of 1036,6788, we have to find the factors of both numbers and list the highest common factor.
The factors of 1036 are 1, 2, 4, 7, 14, 28, 37, 74, 148, 259, 518, 1036
The factors of 6788 are 1, 2, 4, 1697, 3394, 6788
The HCF of 1036,6788 is 4.
Lets's calculate GCF of 1036,6788
| 2 | 1036, 6788 |
| 2 | 518, 3394 |
| 259, 1697 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 1036,6788 By Matching Biggest Common Factor Method
Now, list down the factors of 1036
:1,2,4,7,14,28,37,74,148,259,518,1036
Now, list down the factors of 6788
:1,2,4,1697,3394,6788
Greatest Common Factor
We found the factors 1036,6788 . The biggest common factor number is the GCF number.
So the greatest common factor 1036,6788 is 4.
Lets's calculate LCM of 817,8470
Given numbers has no common factors except 1. So, there LCM is their product i.e 6919990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/6919990
Therefore, the GCF of Fractions 1036/817,6788/8470 is 4/6919990
Least Common Multiple of 817,8470 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 817,8470 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(817,8470) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(817,8470) x common factors =1 x 1 = 1
LCM(817,8470) = ( 817 × 8470 ) / 1
LCM(817,8470) = 6919990 / 1
LCM(817,8470) = 6919990
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FAQs on GCF of Fractions of 1036/817, 6788/8470
1. What is the HCF of 1036,6788?
The HCF of 1036,6788 is 4
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 1036/817, 6788/8470?
Answer: GCF of Numerators as per given numbers 1036/817, 6788/8470 is
GCF of Numerators i.e. for 1036,6788 is 4
LCM of denominators i.e. for 817,8470 is 6919990.
Thus, GCF of Fractions is 4/6919990.Finally, GCF of Fractions for 1036/817, 6788/8470 is 4/6919990.