GCF of 9578/998, 4814/5561
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9578/998, 4814/5561 i.e 2/5549878 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9578/998, 4814/5561.
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 9578/998,4814/5561?
Given fractions are 9578/998,4814/5561
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 9578/998,4814/5561, numerators are 9578,4814
Denominators are 998,5561
The GCF of 9578,4814 is 2 .
LCM of 998,5561 is 5549878.
The greatest common factor of 9578/998,4814/5561 = [GCF of 9578,4814]/[LCM of 998,5561]= 2/5549878
Therefore, the GCF of 9578/998,4814/5561 is 2/5549878.
To find the highest common factor of 9578,4814, we have to find the factors of both numbers and list the highest common factor.
The factors of 9578 are 1, 2, 4789, 9578
The factors of 4814 are 1, 2, 29, 58, 83, 166, 2407, 4814
The HCF of 9578,4814 is 2.
Lets's calculate GCF of 9578,4814
| 2 | 9578, 4814 |
| 4789, 2407 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9578,4814 By Matching Biggest Common Factor Method
Now, list down the factors of 9578
:1,2,4789,9578
Now, list down the factors of 4814
:1,2,29,58,83,166,2407,4814
Greatest Common Factor
We found the factors 9578,4814 . The biggest common factor number is the GCF number.
So the greatest common factor 9578,4814 is 2.
Lets's calculate LCM of 998,5561
Given numbers has no common factors except 1. So, there LCM is their product i.e 5549878
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5549878
Therefore, the GCF of Fractions 9578/998,4814/5561 is 2/5549878
Least Common Multiple of 998,5561 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 998,5561 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(998,5561) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(998,5561) x common factors =1 x 1 = 1
LCM(998,5561) = ( 998 × 5561 ) / 1
LCM(998,5561) = 5549878 / 1
LCM(998,5561) = 5549878
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FAQs on GCF of Fractions of 9578/998, 4814/5561
1. What is the HCF of 9578,4814?
The HCF of 9578,4814 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 9578/998, 4814/5561?
Answer: GCF of Numerators as per given numbers 9578/998, 4814/5561 is
GCF of Numerators i.e. for 9578,4814 is 2
LCM of denominators i.e. for 998,5561 is 5549878.
Thus, GCF of Fractions is 2/5549878.Finally, GCF of Fractions for 9578/998, 4814/5561 is 2/5549878.