GCF of 6563/553, 7382/5680
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6563/553, 7382/5680 i.e 1/3141040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6563/553, 7382/5680.
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 6563/553,7382/5680?
Given fractions are 6563/553,7382/5680
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 6563/553,7382/5680, numerators are 6563,7382
Denominators are 553,5680
The GCF of 6563,7382 is 1 .
LCM of 553,5680 is 3141040.
The greatest common factor of 6563/553,7382/5680 = [GCF of 6563,7382]/[LCM of 553,5680]= 1/3141040
Therefore, the GCF of 6563/553,7382/5680 is 1/3141040.
To find the highest common factor of 6563,7382, we have to find the factors of both numbers and list the highest common factor.
The factors of 6563 are 1, 6563
The factors of 7382 are 1, 2, 3691, 7382
The HCF of 6563,7382 is 1.
Lets's calculate GCF of 6563,7382
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6563,7382 By Matching Biggest Common Factor Method
Now, list down the factors of 6563
:1,6563
Now, list down the factors of 7382
:1,2,3691,7382
Greatest Common Factor
We found the factors 6563,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 6563,7382 is 1.
Lets's calculate LCM of 553,5680
Given numbers has no common factors except 1. So, there LCM is their product i.e 3141040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3141040
Therefore, the GCF of Fractions 6563/553,7382/5680 is 1/3141040
Least Common Multiple of 553,5680 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 553,5680 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(553,5680) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(553,5680) x common factors =1 x 1 = 1
LCM(553,5680) = ( 553 × 5680 ) / 1
LCM(553,5680) = 3141040 / 1
LCM(553,5680) = 3141040
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FAQs on GCF of Fractions of 6563/553, 7382/5680
1. What is the HCF of 6563,7382?
The HCF of 6563,7382 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 6563/553, 7382/5680?
Answer: GCF of Numerators as per given numbers 6563/553, 7382/5680 is
GCF of Numerators i.e. for 6563,7382 is 1
LCM of denominators i.e. for 553,5680 is 3141040.
Thus, GCF of Fractions is 1/3141040.Finally, GCF of Fractions for 6563/553, 7382/5680 is 1/3141040.