GCF of 9766/563, 7132/6080
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9766/563, 7132/6080 i.e 2/3423040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9766/563, 7132/6080.
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 9766/563,7132/6080?
Given fractions are 9766/563,7132/6080
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 9766/563,7132/6080, numerators are 9766,7132
Denominators are 563,6080
The GCF of 9766,7132 is 2 .
LCM of 563,6080 is 3423040.
The greatest common factor of 9766/563,7132/6080 = [GCF of 9766,7132]/[LCM of 563,6080]= 2/3423040
Therefore, the GCF of 9766/563,7132/6080 is 2/3423040.
To find the highest common factor of 9766,7132, we have to find the factors of both numbers and list the highest common factor.
The factors of 9766 are 1, 2, 19, 38, 257, 514, 4883, 9766
The factors of 7132 are 1, 2, 4, 1783, 3566, 7132
The HCF of 9766,7132 is 2.
Lets's calculate GCF of 9766,7132
| 2 | 9766, 7132 |
| 4883, 3566 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9766,7132 By Matching Biggest Common Factor Method
Now, list down the factors of 9766
:1,2,19,38,257,514,4883,9766
Now, list down the factors of 7132
:1,2,4,1783,3566,7132
Greatest Common Factor
We found the factors 9766,7132 . The biggest common factor number is the GCF number.
So the greatest common factor 9766,7132 is 2.
Lets's calculate LCM of 563,6080
Given numbers has no common factors except 1. So, there LCM is their product i.e 3423040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3423040
Therefore, the GCF of Fractions 9766/563,7132/6080 is 2/3423040
Least Common Multiple of 563,6080 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 563,6080 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(563,6080) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(563,6080) x common factors =1 x 1 = 1
LCM(563,6080) = ( 563 × 6080 ) / 1
LCM(563,6080) = 3423040 / 1
LCM(563,6080) = 3423040
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FAQs on GCF of Fractions of 9766/563, 7132/6080
1. What is the HCF of 9766,7132?
The HCF of 9766,7132 is 2
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 9766/563, 7132/6080?
Answer: GCF of Numerators as per given numbers 9766/563, 7132/6080 is
GCF of Numerators i.e. for 9766,7132 is 2
LCM of denominators i.e. for 563,6080 is 3423040.
Thus, GCF of Fractions is 2/3423040.Finally, GCF of Fractions for 9766/563, 7132/6080 is 2/3423040.