GCF of 5631/623, 8788/1544
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5631/623, 8788/1544 i.e 1/961912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5631/623, 8788/1544.
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 5631/623,8788/1544?
Given fractions are 5631/623,8788/1544
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 5631/623,8788/1544, numerators are 5631,8788
Denominators are 623,1544
The GCF of 5631,8788 is 1 .
LCM of 623,1544 is 961912.
The greatest common factor of 5631/623,8788/1544 = [GCF of 5631,8788]/[LCM of 623,1544]= 1/961912
Therefore, the GCF of 5631/623,8788/1544 is 1/961912.
To find the highest common factor of 5631,8788, we have to find the factors of both numbers and list the highest common factor.
The factors of 5631 are 1, 3, 1877, 5631
The factors of 8788 are 1, 2, 4, 13, 26, 52, 169, 338, 676, 2197, 4394, 8788
The HCF of 5631,8788 is 1.
Lets's calculate GCF of 5631,8788
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5631,8788 By Matching Biggest Common Factor Method
Now, list down the factors of 5631
:1,3,1877,5631
Now, list down the factors of 8788
:1,2,4,13,26,52,169,338,676,2197,4394,8788
Greatest Common Factor
We found the factors 5631,8788 . The biggest common factor number is the GCF number.
So the greatest common factor 5631,8788 is 1.
Lets's calculate LCM of 623,1544
Given numbers has no common factors except 1. So, there LCM is their product i.e 961912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/961912
Therefore, the GCF of Fractions 5631/623,8788/1544 is 1/961912
Least Common Multiple of 623,1544 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 623,1544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(623,1544) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(623,1544) x common factors =1 x 1 = 1
LCM(623,1544) = ( 623 × 1544 ) / 1
LCM(623,1544) = 961912 / 1
LCM(623,1544) = 961912
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 5631/623, 8788/1544
1. What is the HCF of 5631,8788?
The HCF of 5631,8788 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 5631/623, 8788/1544?
Answer: GCF of Numerators as per given numbers 5631/623, 8788/1544 is
GCF of Numerators i.e. for 5631,8788 is 1
LCM of denominators i.e. for 623,1544 is 961912.
Thus, GCF of Fractions is 1/961912.Finally, GCF of Fractions for 5631/623, 8788/1544 is 1/961912.