GCF of 5573/358, 5623/3735
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5573/358, 5623/3735 i.e 1/1337130 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5573/358, 5623/3735.
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 5573/358,5623/3735?
Given fractions are 5573/358,5623/3735
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 5573/358,5623/3735, numerators are 5573,5623
Denominators are 358,3735
The GCF of 5573,5623 is 1 .
LCM of 358,3735 is 1337130.
The greatest common factor of 5573/358,5623/3735 = [GCF of 5573,5623]/[LCM of 358,3735]= 1/1337130
Therefore, the GCF of 5573/358,5623/3735 is 1/1337130.
To find the highest common factor of 5573,5623, we have to find the factors of both numbers and list the highest common factor.
The factors of 5573 are 1, 5573
The factors of 5623 are 1, 5623
The HCF of 5573,5623 is 1.
Lets's calculate GCF of 5573,5623
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5573,5623 By Matching Biggest Common Factor Method
Now, list down the factors of 5573
:1,5573
Now, list down the factors of 5623
:1,5623
Greatest Common Factor
We found the factors 5573,5623 . The biggest common factor number is the GCF number.
So the greatest common factor 5573,5623 is 1.
Lets's calculate LCM of 358,3735
Given numbers has no common factors except 1. So, there LCM is their product i.e 1337130
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1337130
Therefore, the GCF of Fractions 5573/358,5623/3735 is 1/1337130
Least Common Multiple of 358,3735 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 358,3735 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(358,3735) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(358,3735) x common factors =1 x 1 = 1
LCM(358,3735) = ( 358 × 3735 ) / 1
LCM(358,3735) = 1337130 / 1
LCM(358,3735) = 1337130
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FAQs on GCF of Fractions of 5573/358, 5623/3735
1. What is the HCF of 5573,5623?
The HCF of 5573,5623 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 5573/358, 5623/3735?
Answer: GCF of Numerators as per given numbers 5573/358, 5623/3735 is
GCF of Numerators i.e. for 5573,5623 is 1
LCM of denominators i.e. for 358,3735 is 1337130.
Thus, GCF of Fractions is 1/1337130.Finally, GCF of Fractions for 5573/358, 5623/3735 is 1/1337130.