GCF of 5389/722, 8841/1954
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5389/722, 8841/1954 i.e 1/705394 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5389/722, 8841/1954.
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 5389/722,8841/1954?
Given fractions are 5389/722,8841/1954
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 5389/722,8841/1954, numerators are 5389,8841
Denominators are 722,1954
The GCF of 5389,8841 is 1 .
LCM of 722,1954 is 705394.
The greatest common factor of 5389/722,8841/1954 = [GCF of 5389,8841]/[LCM of 722,1954]= 1/705394
Therefore, the GCF of 5389/722,8841/1954 is 1/705394.
To find the highest common factor of 5389,8841, we have to find the factors of both numbers and list the highest common factor.
The factors of 5389 are 1, 17, 317, 5389
The factors of 8841 are 1, 3, 7, 21, 421, 1263, 2947, 8841
The HCF of 5389,8841 is 1.
Lets's calculate GCF of 5389,8841
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5389,8841 By Matching Biggest Common Factor Method
Now, list down the factors of 5389
:1,17,317,5389
Now, list down the factors of 8841
:1,3,7,21,421,1263,2947,8841
Greatest Common Factor
We found the factors 5389,8841 . The biggest common factor number is the GCF number.
So the greatest common factor 5389,8841 is 1.
Lets's calculate LCM of 722,1954
| 2 | 722, 1954 |
| 361, 977 |
∴ So the LCM of the given numbers is 2 x 361 x 977 = 705394
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/705394
Therefore, the GCF of Fractions 5389/722,8841/1954 is 1/705394
Least Common Multiple of 722,1954 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 722,1954 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(722,1954) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(722,1954) x common factors =2 x 1 = 2
LCM(722,1954) = ( 722 × 1954 ) / 2
LCM(722,1954) = 1410788 / 2
LCM(722,1954) = 705394
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FAQs on GCF of Fractions of 5389/722, 8841/1954
1. What is the HCF of 5389,8841?
The HCF of 5389,8841 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 5389/722, 8841/1954?
Answer: GCF of Numerators as per given numbers 5389/722, 8841/1954 is
GCF of Numerators i.e. for 5389,8841 is 1
LCM of denominators i.e. for 722,1954 is 705394.
Thus, GCF of Fractions is 1/705394.Finally, GCF of Fractions for 5389/722, 8841/1954 is 1/705394.