GCF of 5221/123, 7124/861
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5221/123, 7124/861 i.e 1/861 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5221/123, 7124/861.
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 5221/123,7124/861?
Given fractions are 5221/123,7124/861
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 5221/123,7124/861, numerators are 5221,7124
Denominators are 123,861
The GCF of 5221,7124 is 1 .
LCM of 123,861 is 861.
The greatest common factor of 5221/123,7124/861 = [GCF of 5221,7124]/[LCM of 123,861]= 1/861
Therefore, the GCF of 5221/123,7124/861 is 1/861.
To find the highest common factor of 5221,7124, we have to find the factors of both numbers and list the highest common factor.
The factors of 5221 are 1, 23, 227, 5221
The factors of 7124 are 1, 2, 4, 13, 26, 52, 137, 274, 548, 1781, 3562, 7124
The HCF of 5221,7124 is 1.
Lets's calculate GCF of 5221,7124
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5221,7124 By Matching Biggest Common Factor Method
Now, list down the factors of 5221
:1,23,227,5221
Now, list down the factors of 7124
:1,2,4,13,26,52,137,274,548,1781,3562,7124
Greatest Common Factor
We found the factors 5221,7124 . The biggest common factor number is the GCF number.
So the greatest common factor 5221,7124 is 1.
Lets's calculate LCM of 123,861
| 3 | 123, 861 |
| 41 | 41, 287 |
| 1, 7 |
∴ So the LCM of the given numbers is 3 x 41 x 1 x 7 = 861
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/861
Therefore, the GCF of Fractions 5221/123,7124/861 is 1/861
Least Common Multiple of 123,861 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 123,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(123,861) = 123
common factors(in case of two or more numbers have common factors) = 1
GCF(123,861) x common factors =123 x 1 = 123
LCM(123,861) = ( 123 × 861 ) / 123
LCM(123,861) = 105903 / 123
LCM(123,861) = 861
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5221/123, 7124/861
1. What is the HCF of 5221,7124?
The HCF of 5221,7124 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 5221/123, 7124/861?
Answer: GCF of Numerators as per given numbers 5221/123, 7124/861 is
GCF of Numerators i.e. for 5221,7124 is 1
LCM of denominators i.e. for 123,861 is 861.
Thus, GCF of Fractions is 1/861.Finally, GCF of Fractions for 5221/123, 7124/861 is 1/861.