GCF of 5667/124, 7802/8809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5667/124, 7802/8809 i.e 1/1092316 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5667/124, 7802/8809.
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 5667/124,7802/8809?
Given fractions are 5667/124,7802/8809
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 5667/124,7802/8809, numerators are 5667,7802
Denominators are 124,8809
The GCF of 5667,7802 is 1 .
LCM of 124,8809 is 1092316.
The greatest common factor of 5667/124,7802/8809 = [GCF of 5667,7802]/[LCM of 124,8809]= 1/1092316
Therefore, the GCF of 5667/124,7802/8809 is 1/1092316.
To find the highest common factor of 5667,7802, we have to find the factors of both numbers and list the highest common factor.
The factors of 5667 are 1, 3, 1889, 5667
The factors of 7802 are 1, 2, 47, 83, 94, 166, 3901, 7802
The HCF of 5667,7802 is 1.
Lets's calculate GCF of 5667,7802
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5667,7802 By Matching Biggest Common Factor Method
Now, list down the factors of 5667
:1,3,1889,5667
Now, list down the factors of 7802
:1,2,47,83,94,166,3901,7802
Greatest Common Factor
We found the factors 5667,7802 . The biggest common factor number is the GCF number.
So the greatest common factor 5667,7802 is 1.
Lets's calculate LCM of 124,8809
Given numbers has no common factors except 1. So, there LCM is their product i.e 1092316
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1092316
Therefore, the GCF of Fractions 5667/124,7802/8809 is 1/1092316
Least Common Multiple of 124,8809 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 124,8809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(124,8809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(124,8809) x common factors =1 x 1 = 1
LCM(124,8809) = ( 124 × 8809 ) / 1
LCM(124,8809) = 1092316 / 1
LCM(124,8809) = 1092316
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5667/124, 7802/8809
1. What is the HCF of 5667,7802?
The HCF of 5667,7802 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 5667/124, 7802/8809?
Answer: GCF of Numerators as per given numbers 5667/124, 7802/8809 is
GCF of Numerators i.e. for 5667,7802 is 1
LCM of denominators i.e. for 124,8809 is 1092316.
Thus, GCF of Fractions is 1/1092316.Finally, GCF of Fractions for 5667/124, 7802/8809 is 1/1092316.