GCF of 970/17, 786/8194
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 970/17, 786/8194 i.e 2/8194 easily. The following is the detailed procedure to determine the greatest common factor of fractions 970/17, 786/8194.
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 970/17,786/8194?
Given fractions are 970/17,786/8194
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 970/17,786/8194, numerators are 970,786
Denominators are 17,8194
The GCF of 970,786 is 2 .
LCM of 17,8194 is 8194.
The greatest common factor of 970/17,786/8194 = [GCF of 970,786]/[LCM of 17,8194]= 2/8194
Therefore, the GCF of 970/17,786/8194 is 2/8194.
To find the highest common factor of 970,786, we have to find the factors of both numbers and list the highest common factor.
The factors of 970 are 1, 2, 5, 10, 97, 194, 485, 970
The factors of 786 are 1, 2, 3, 6, 131, 262, 393, 786
The HCF of 970,786 is 2.
Lets's calculate GCF of 970,786
| 2 | 970, 786 |
| 485, 393 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 970,786 By Matching Biggest Common Factor Method
Now, list down the factors of 970
:1,2,5,10,97,194,485,970
Now, list down the factors of 786
:1,2,3,6,131,262,393,786
Greatest Common Factor
We found the factors 970,786 . The biggest common factor number is the GCF number.
So the greatest common factor 970,786 is 2.
Lets's calculate LCM of 17,8194
| 17 | 17, 8194 |
| 1, 482 |
∴ So the LCM of the given numbers is 17 x 1 x 482 = 8194
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8194
Therefore, the GCF of Fractions 970/17,786/8194 is 2/8194
Least Common Multiple of 17,8194 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 17,8194 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(17,8194) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(17,8194) x common factors =17 x 1 = 17
LCM(17,8194) = ( 17 × 8194 ) / 17
LCM(17,8194) = 139298 / 17
LCM(17,8194) = 8194
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FAQs on GCF of Fractions of 970/17, 786/8194
1. What is the HCF of 970,786?
The HCF of 970,786 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 970/17, 786/8194?
Answer: GCF of Numerators as per given numbers 970/17, 786/8194 is
GCF of Numerators i.e. for 970,786 is 2
LCM of denominators i.e. for 17,8194 is 8194.
Thus, GCF of Fractions is 2/8194.Finally, GCF of Fractions for 970/17, 786/8194 is 2/8194.