GCF of 989/561, 4498/8892
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 989/561, 4498/8892 i.e 1/1662804 easily. The following is the detailed procedure to determine the greatest common factor of fractions 989/561, 4498/8892.
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 989/561,4498/8892?
Given fractions are 989/561,4498/8892
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 989/561,4498/8892, numerators are 989,4498
Denominators are 561,8892
The GCF of 989,4498 is 1 .
LCM of 561,8892 is 1662804.
The greatest common factor of 989/561,4498/8892 = [GCF of 989,4498]/[LCM of 561,8892]= 1/1662804
Therefore, the GCF of 989/561,4498/8892 is 1/1662804.
To find the highest common factor of 989,4498, we have to find the factors of both numbers and list the highest common factor.
The factors of 989 are 1, 23, 43, 989
The factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498
The HCF of 989,4498 is 1.
Lets's calculate GCF of 989,4498
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 989,4498 By Matching Biggest Common Factor Method
Now, list down the factors of 989
:1,23,43,989
Now, list down the factors of 4498
:1,2,13,26,173,346,2249,4498
Greatest Common Factor
We found the factors 989,4498 . The biggest common factor number is the GCF number.
So the greatest common factor 989,4498 is 1.
Lets's calculate LCM of 561,8892
| 3 | 561, 8892 |
| 187, 2964 |
∴ So the LCM of the given numbers is 3 x 187 x 2964 = 1662804
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1662804
Therefore, the GCF of Fractions 989/561,4498/8892 is 1/1662804
Least Common Multiple of 561,8892 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 561,8892 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(561,8892) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(561,8892) x common factors =3 x 1 = 3
LCM(561,8892) = ( 561 × 8892 ) / 3
LCM(561,8892) = 4988412 / 3
LCM(561,8892) = 1662804
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FAQs on GCF of Fractions of 989/561, 4498/8892
1. What is the HCF of 989,4498?
The HCF of 989,4498 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 989/561, 4498/8892?
Answer: GCF of Numerators as per given numbers 989/561, 4498/8892 is
GCF of Numerators i.e. for 989,4498 is 1
LCM of denominators i.e. for 561,8892 is 1662804.
Thus, GCF of Fractions is 1/1662804.Finally, GCF of Fractions for 989/561, 4498/8892 is 1/1662804.