GCF of 5478/131, 6862/7849
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5478/131, 6862/7849 i.e 2/1028219 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5478/131, 6862/7849.
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 5478/131,6862/7849?
Given fractions are 5478/131,6862/7849
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 5478/131,6862/7849, numerators are 5478,6862
Denominators are 131,7849
The GCF of 5478,6862 is 2 .
LCM of 131,7849 is 1028219.
The greatest common factor of 5478/131,6862/7849 = [GCF of 5478,6862]/[LCM of 131,7849]= 2/1028219
Therefore, the GCF of 5478/131,6862/7849 is 2/1028219.
To find the highest common factor of 5478,6862, we have to find the factors of both numbers and list the highest common factor.
The factors of 5478 are 1, 2, 3, 6, 11, 22, 33, 66, 83, 166, 249, 498, 913, 1826, 2739, 5478
The factors of 6862 are 1, 2, 47, 73, 94, 146, 3431, 6862
The HCF of 5478,6862 is 2.
Lets's calculate GCF of 5478,6862
| 2 | 5478, 6862 |
| 2739, 3431 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5478,6862 By Matching Biggest Common Factor Method
Now, list down the factors of 5478
:1,2,3,6,11,22,33,66,83,166,249,498,913,1826,2739,5478
Now, list down the factors of 6862
:1,2,47,73,94,146,3431,6862
Greatest Common Factor
We found the factors 5478,6862 . The biggest common factor number is the GCF number.
So the greatest common factor 5478,6862 is 2.
Lets's calculate LCM of 131,7849
Given numbers has no common factors except 1. So, there LCM is their product i.e 1028219
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1028219
Therefore, the GCF of Fractions 5478/131,6862/7849 is 2/1028219
Least Common Multiple of 131,7849 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 131,7849 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(131,7849) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(131,7849) x common factors =1 x 1 = 1
LCM(131,7849) = ( 131 × 7849 ) / 1
LCM(131,7849) = 1028219 / 1
LCM(131,7849) = 1028219
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5478/131, 6862/7849
1. What is the HCF of 5478,6862?
The HCF of 5478,6862 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 5478/131, 6862/7849?
Answer: GCF of Numerators as per given numbers 5478/131, 6862/7849 is
GCF of Numerators i.e. for 5478,6862 is 2
LCM of denominators i.e. for 131,7849 is 1028219.
Thus, GCF of Fractions is 2/1028219.Finally, GCF of Fractions for 5478/131, 6862/7849 is 2/1028219.