GCF of 5463/317, 6898/7874
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5463/317, 6898/7874 i.e 1/2496058 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5463/317, 6898/7874.
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 5463/317,6898/7874?
Given fractions are 5463/317,6898/7874
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 5463/317,6898/7874, numerators are 5463,6898
Denominators are 317,7874
The GCF of 5463,6898 is 1 .
LCM of 317,7874 is 2496058.
The greatest common factor of 5463/317,6898/7874 = [GCF of 5463,6898]/[LCM of 317,7874]= 1/2496058
Therefore, the GCF of 5463/317,6898/7874 is 1/2496058.
To find the highest common factor of 5463,6898, we have to find the factors of both numbers and list the highest common factor.
The factors of 5463 are 1, 3, 9, 607, 1821, 5463
The factors of 6898 are 1, 2, 3449, 6898
The HCF of 5463,6898 is 1.
Lets's calculate GCF of 5463,6898
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5463,6898 By Matching Biggest Common Factor Method
Now, list down the factors of 5463
:1,3,9,607,1821,5463
Now, list down the factors of 6898
:1,2,3449,6898
Greatest Common Factor
We found the factors 5463,6898 . The biggest common factor number is the GCF number.
So the greatest common factor 5463,6898 is 1.
Lets's calculate LCM of 317,7874
Given numbers has no common factors except 1. So, there LCM is their product i.e 2496058
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2496058
Therefore, the GCF of Fractions 5463/317,6898/7874 is 1/2496058
Least Common Multiple of 317,7874 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 317,7874 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(317,7874) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(317,7874) x common factors =1 x 1 = 1
LCM(317,7874) = ( 317 × 7874 ) / 1
LCM(317,7874) = 2496058 / 1
LCM(317,7874) = 2496058
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FAQs on GCF of Fractions of 5463/317, 6898/7874
1. What is the HCF of 5463,6898?
The HCF of 5463,6898 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 5463/317, 6898/7874?
Answer: GCF of Numerators as per given numbers 5463/317, 6898/7874 is
GCF of Numerators i.e. for 5463,6898 is 1
LCM of denominators i.e. for 317,7874 is 2496058.
Thus, GCF of Fractions is 1/2496058.Finally, GCF of Fractions for 5463/317, 6898/7874 is 1/2496058.