GCF of 5811/196, 4978/454
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5811/196, 4978/454 i.e 1/44492 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5811/196, 4978/454.
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 5811/196,4978/454?
Given fractions are 5811/196,4978/454
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 5811/196,4978/454, numerators are 5811,4978
Denominators are 196,454
The GCF of 5811,4978 is 1 .
LCM of 196,454 is 44492.
The greatest common factor of 5811/196,4978/454 = [GCF of 5811,4978]/[LCM of 196,454]= 1/44492
Therefore, the GCF of 5811/196,4978/454 is 1/44492.
To find the highest common factor of 5811,4978, we have to find the factors of both numbers and list the highest common factor.
The factors of 5811 are 1, 3, 13, 39, 149, 447, 1937, 5811
The factors of 4978 are 1, 2, 19, 38, 131, 262, 2489, 4978
The HCF of 5811,4978 is 1.
Lets's calculate GCF of 5811,4978
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5811,4978 By Matching Biggest Common Factor Method
Now, list down the factors of 5811
:1,3,13,39,149,447,1937,5811
Now, list down the factors of 4978
:1,2,19,38,131,262,2489,4978
Greatest Common Factor
We found the factors 5811,4978 . The biggest common factor number is the GCF number.
So the greatest common factor 5811,4978 is 1.
Lets's calculate LCM of 196,454
| 2 | 196, 454 |
| 98, 227 |
∴ So the LCM of the given numbers is 2 x 98 x 227 = 44492
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/44492
Therefore, the GCF of Fractions 5811/196,4978/454 is 1/44492
Least Common Multiple of 196,454 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 196,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(196,454) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(196,454) x common factors =2 x 1 = 2
LCM(196,454) = ( 196 × 454 ) / 2
LCM(196,454) = 88984 / 2
LCM(196,454) = 44492
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FAQs on GCF of Fractions of 5811/196, 4978/454
1. What is the HCF of 5811,4978?
The HCF of 5811,4978 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 5811/196, 4978/454?
Answer: GCF of Numerators as per given numbers 5811/196, 4978/454 is
GCF of Numerators i.e. for 5811,4978 is 1
LCM of denominators i.e. for 196,454 is 44492.
Thus, GCF of Fractions is 1/44492.Finally, GCF of Fractions for 5811/196, 4978/454 is 1/44492.