GCF of 9385/890, 8789/9786
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9385/890, 8789/9786 i.e 1/4354770 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9385/890, 8789/9786.
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 9385/890,8789/9786?
Given fractions are 9385/890,8789/9786
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 9385/890,8789/9786, numerators are 9385,8789
Denominators are 890,9786
The GCF of 9385,8789 is 1 .
LCM of 890,9786 is 4354770.
The greatest common factor of 9385/890,8789/9786 = [GCF of 9385,8789]/[LCM of 890,9786]= 1/4354770
Therefore, the GCF of 9385/890,8789/9786 is 1/4354770.
To find the highest common factor of 9385,8789, we have to find the factors of both numbers and list the highest common factor.
The factors of 9385 are 1, 5, 1877, 9385
The factors of 8789 are 1, 11, 17, 47, 187, 517, 799, 8789
The HCF of 9385,8789 is 1.
Lets's calculate GCF of 9385,8789
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9385,8789 By Matching Biggest Common Factor Method
Now, list down the factors of 9385
:1,5,1877,9385
Now, list down the factors of 8789
:1,11,17,47,187,517,799,8789
Greatest Common Factor
We found the factors 9385,8789 . The biggest common factor number is the GCF number.
So the greatest common factor 9385,8789 is 1.
Lets's calculate LCM of 890,9786
| 2 | 890, 9786 |
| 445, 4893 |
∴ So the LCM of the given numbers is 2 x 445 x 4893 = 4354770
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4354770
Therefore, the GCF of Fractions 9385/890,8789/9786 is 1/4354770
Least Common Multiple of 890,9786 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 890,9786 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(890,9786) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(890,9786) x common factors =2 x 1 = 2
LCM(890,9786) = ( 890 × 9786 ) / 2
LCM(890,9786) = 8709540 / 2
LCM(890,9786) = 4354770
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FAQs on GCF of Fractions of 9385/890, 8789/9786
1. What is the HCF of 9385,8789?
The HCF of 9385,8789 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 9385/890, 8789/9786?
Answer: GCF of Numerators as per given numbers 9385/890, 8789/9786 is
GCF of Numerators i.e. for 9385,8789 is 1
LCM of denominators i.e. for 890,9786 is 4354770.
Thus, GCF of Fractions is 1/4354770.Finally, GCF of Fractions for 9385/890, 8789/9786 is 1/4354770.