GCF of 5572/284, 3245/647
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5572/284, 3245/647 i.e 1/183748 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5572/284, 3245/647.
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 5572/284,3245/647?
Given fractions are 5572/284,3245/647
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 5572/284,3245/647, numerators are 5572,3245
Denominators are 284,647
The GCF of 5572,3245 is 1 .
LCM of 284,647 is 183748.
The greatest common factor of 5572/284,3245/647 = [GCF of 5572,3245]/[LCM of 284,647]= 1/183748
Therefore, the GCF of 5572/284,3245/647 is 1/183748.
To find the highest common factor of 5572,3245, we have to find the factors of both numbers and list the highest common factor.
The factors of 5572 are 1, 2, 4, 7, 14, 28, 199, 398, 796, 1393, 2786, 5572
The factors of 3245 are 1, 5, 11, 55, 59, 295, 649, 3245
The HCF of 5572,3245 is 1.
Lets's calculate GCF of 5572,3245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5572,3245 By Matching Biggest Common Factor Method
Now, list down the factors of 5572
:1,2,4,7,14,28,199,398,796,1393,2786,5572
Now, list down the factors of 3245
:1,5,11,55,59,295,649,3245
Greatest Common Factor
We found the factors 5572,3245 . The biggest common factor number is the GCF number.
So the greatest common factor 5572,3245 is 1.
Lets's calculate LCM of 284,647
Given numbers has no common factors except 1. So, there LCM is their product i.e 183748
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183748
Therefore, the GCF of Fractions 5572/284,3245/647 is 1/183748
Least Common Multiple of 284,647 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 284,647 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(284,647) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(284,647) x common factors =1 x 1 = 1
LCM(284,647) = ( 284 × 647 ) / 1
LCM(284,647) = 183748 / 1
LCM(284,647) = 183748
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FAQs on GCF of Fractions of 5572/284, 3245/647
1. What is the HCF of 5572,3245?
The HCF of 5572,3245 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 5572/284, 3245/647?
Answer: GCF of Numerators as per given numbers 5572/284, 3245/647 is
GCF of Numerators i.e. for 5572,3245 is 1
LCM of denominators i.e. for 284,647 is 183748.
Thus, GCF of Fractions is 1/183748.Finally, GCF of Fractions for 5572/284, 3245/647 is 1/183748.