GCF of 5778/909, 9189/890
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5778/909, 9189/890 i.e 9/809010 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5778/909, 9189/890.
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 5778/909,9189/890?
Given fractions are 5778/909,9189/890
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 5778/909,9189/890, numerators are 5778,9189
Denominators are 909,890
The GCF of 5778,9189 is 9 .
LCM of 909,890 is 809010.
The greatest common factor of 5778/909,9189/890 = [GCF of 5778,9189]/[LCM of 909,890]= 9/809010
Therefore, the GCF of 5778/909,9189/890 is 9/809010.
To find the highest common factor of 5778,9189, we have to find the factors of both numbers and list the highest common factor.
The factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778
The factors of 9189 are 1, 3, 9, 1021, 3063, 9189
The HCF of 5778,9189 is 9.
Lets's calculate GCF of 5778,9189
| 3 | 5778, 9189 |
| 3 | 1926, 3063 |
| 642, 1021 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 5778,9189 By Matching Biggest Common Factor Method
Now, list down the factors of 5778
:1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778
Now, list down the factors of 9189
:1,3,9,1021,3063,9189
Greatest Common Factor
We found the factors 5778,9189 . The biggest common factor number is the GCF number.
So the greatest common factor 5778,9189 is 9.
Lets's calculate LCM of 909,890
Given numbers has no common factors except 1. So, there LCM is their product i.e 809010
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/809010
Therefore, the GCF of Fractions 5778/909,9189/890 is 9/809010
Least Common Multiple of 909,890 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 909,890 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,890) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,890) x common factors =1 x 1 = 1
LCM(909,890) = ( 909 × 890 ) / 1
LCM(909,890) = 809010 / 1
LCM(909,890) = 809010
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FAQs on GCF of Fractions of 5778/909, 9189/890
1. What is the HCF of 5778,9189?
The HCF of 5778,9189 is 9
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 5778/909, 9189/890?
Answer: GCF of Numerators as per given numbers 5778/909, 9189/890 is
GCF of Numerators i.e. for 5778,9189 is 9
LCM of denominators i.e. for 909,890 is 809010.
Thus, GCF of Fractions is 9/809010.Finally, GCF of Fractions for 5778/909, 9189/890 is 9/809010.