GCF of 5623/186, 5507/862
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5623/186, 5507/862 i.e 1/80166 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5623/186, 5507/862.
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 5623/186,5507/862?
Given fractions are 5623/186,5507/862
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 5623/186,5507/862, numerators are 5623,5507
Denominators are 186,862
The GCF of 5623,5507 is 1 .
LCM of 186,862 is 80166.
The greatest common factor of 5623/186,5507/862 = [GCF of 5623,5507]/[LCM of 186,862]= 1/80166
Therefore, the GCF of 5623/186,5507/862 is 1/80166.
To find the highest common factor of 5623,5507, we have to find the factors of both numbers and list the highest common factor.
The factors of 5623 are 1, 5623
The factors of 5507 are 1, 5507
The HCF of 5623,5507 is 1.
Lets's calculate GCF of 5623,5507
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5623,5507 By Matching Biggest Common Factor Method
Now, list down the factors of 5623
:1,5623
Now, list down the factors of 5507
:1,5507
Greatest Common Factor
We found the factors 5623,5507 . The biggest common factor number is the GCF number.
So the greatest common factor 5623,5507 is 1.
Lets's calculate LCM of 186,862
| 2 | 186, 862 |
| 93, 431 |
∴ So the LCM of the given numbers is 2 x 93 x 431 = 80166
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80166
Therefore, the GCF of Fractions 5623/186,5507/862 is 1/80166
Least Common Multiple of 186,862 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 186,862 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,862) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,862) x common factors =2 x 1 = 2
LCM(186,862) = ( 186 × 862 ) / 2
LCM(186,862) = 160332 / 2
LCM(186,862) = 80166
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FAQs on GCF of Fractions of 5623/186, 5507/862
1. What is the HCF of 5623,5507?
The HCF of 5623,5507 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 5623/186, 5507/862?
Answer: GCF of Numerators as per given numbers 5623/186, 5507/862 is
GCF of Numerators i.e. for 5623,5507 is 1
LCM of denominators i.e. for 186,862 is 80166.
Thus, GCF of Fractions is 1/80166.Finally, GCF of Fractions for 5623/186, 5507/862 is 1/80166.