GCF of 7473/569, 5353/1132
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7473/569, 5353/1132 i.e 53/644108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7473/569, 5353/1132.
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 7473/569,5353/1132?
Given fractions are 7473/569,5353/1132
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 7473/569,5353/1132, numerators are 7473,5353
Denominators are 569,1132
The GCF of 7473,5353 is 53 .
LCM of 569,1132 is 644108.
The greatest common factor of 7473/569,5353/1132 = [GCF of 7473,5353]/[LCM of 569,1132]= 53/644108
Therefore, the GCF of 7473/569,5353/1132 is 53/644108.
To find the highest common factor of 7473,5353, we have to find the factors of both numbers and list the highest common factor.
The factors of 7473 are 1, 3, 47, 53, 141, 159, 2491, 7473
The factors of 5353 are 1, 53, 101, 5353
The HCF of 7473,5353 is 53.
Lets's calculate GCF of 7473,5353
| 53 | 7473, 5353 |
| 141, 101 |
∴ So the GCF of the given numbers is 53 = 53
Greatest Common Factor of 7473,5353 By Matching Biggest Common Factor Method
Now, list down the factors of 7473
:1,3,47,53,141,159,2491,7473
Now, list down the factors of 5353
:1,53,101,5353
Greatest Common Factor
We found the factors 7473,5353 . The biggest common factor number is the GCF number.
So the greatest common factor 7473,5353 is 53.
Lets's calculate LCM of 569,1132
Given numbers has no common factors except 1. So, there LCM is their product i.e 644108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 53/644108
Therefore, the GCF of Fractions 7473/569,5353/1132 is 53/644108
Least Common Multiple of 569,1132 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 569,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(569,1132) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(569,1132) x common factors =1 x 1 = 1
LCM(569,1132) = ( 569 × 1132 ) / 1
LCM(569,1132) = 644108 / 1
LCM(569,1132) = 644108
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FAQs on GCF of Fractions of 7473/569, 5353/1132
1. What is the HCF of 7473,5353?
The HCF of 7473,5353 is 53
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 7473/569, 5353/1132?
Answer: GCF of Numerators as per given numbers 7473/569, 5353/1132 is
GCF of Numerators i.e. for 7473,5353 is 53
LCM of denominators i.e. for 569,1132 is 644108.
Thus, GCF of Fractions is 53/644108.Finally, GCF of Fractions for 7473/569, 5353/1132 is 53/644108.