GCF of 5575/492, 8829/5636
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5575/492, 8829/5636 i.e 1/693228 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5575/492, 8829/5636.
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 5575/492,8829/5636?
Given fractions are 5575/492,8829/5636
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 5575/492,8829/5636, numerators are 5575,8829
Denominators are 492,5636
The GCF of 5575,8829 is 1 .
LCM of 492,5636 is 693228.
The greatest common factor of 5575/492,8829/5636 = [GCF of 5575,8829]/[LCM of 492,5636]= 1/693228
Therefore, the GCF of 5575/492,8829/5636 is 1/693228.
To find the highest common factor of 5575,8829, we have to find the factors of both numbers and list the highest common factor.
The factors of 5575 are 1, 5, 25, 223, 1115, 5575
The factors of 8829 are 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829
The HCF of 5575,8829 is 1.
Lets's calculate GCF of 5575,8829
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5575,8829 By Matching Biggest Common Factor Method
Now, list down the factors of 5575
:1,5,25,223,1115,5575
Now, list down the factors of 8829
:1,3,9,27,81,109,327,981,2943,8829
Greatest Common Factor
We found the factors 5575,8829 . The biggest common factor number is the GCF number.
So the greatest common factor 5575,8829 is 1.
Lets's calculate LCM of 492,5636
| 2 | 492, 5636 |
| 2 | 246, 2818 |
| 123, 1409 |
∴ So the LCM of the given numbers is 2 x 2 x 123 x 1409 = 693228
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/693228
Therefore, the GCF of Fractions 5575/492,8829/5636 is 1/693228
Least Common Multiple of 492,5636 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 492,5636 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(492,5636) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(492,5636) x common factors =4 x 1 = 4
LCM(492,5636) = ( 492 × 5636 ) / 4
LCM(492,5636) = 2772912 / 4
LCM(492,5636) = 693228
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FAQs on GCF of Fractions of 5575/492, 8829/5636
1. What is the HCF of 5575,8829?
The HCF of 5575,8829 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 5575/492, 8829/5636?
Answer: GCF of Numerators as per given numbers 5575/492, 8829/5636 is
GCF of Numerators i.e. for 5575,8829 is 1
LCM of denominators i.e. for 492,5636 is 693228.
Thus, GCF of Fractions is 1/693228.Finally, GCF of Fractions for 5575/492, 8829/5636 is 1/693228.