GCF of 1983/771, 7743/560
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1983/771, 7743/560 i.e 3/431760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1983/771, 7743/560.
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 1983/771,7743/560?
Given fractions are 1983/771,7743/560
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 1983/771,7743/560, numerators are 1983,7743
Denominators are 771,560
The GCF of 1983,7743 is 3 .
LCM of 771,560 is 431760.
The greatest common factor of 1983/771,7743/560 = [GCF of 1983,7743]/[LCM of 771,560]= 3/431760
Therefore, the GCF of 1983/771,7743/560 is 3/431760.
To find the highest common factor of 1983,7743, we have to find the factors of both numbers and list the highest common factor.
The factors of 1983 are 1, 3, 661, 1983
The factors of 7743 are 1, 3, 29, 87, 89, 267, 2581, 7743
The HCF of 1983,7743 is 3.
Lets's calculate GCF of 1983,7743
| 3 | 1983, 7743 |
| 661, 2581 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1983,7743 By Matching Biggest Common Factor Method
Now, list down the factors of 1983
:1,3,661,1983
Now, list down the factors of 7743
:1,3,29,87,89,267,2581,7743
Greatest Common Factor
We found the factors 1983,7743 . The biggest common factor number is the GCF number.
So the greatest common factor 1983,7743 is 3.
Lets's calculate LCM of 771,560
Given numbers has no common factors except 1. So, there LCM is their product i.e 431760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/431760
Therefore, the GCF of Fractions 1983/771,7743/560 is 3/431760
Least Common Multiple of 771,560 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 771,560 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(771,560) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(771,560) x common factors =1 x 1 = 1
LCM(771,560) = ( 771 × 560 ) / 1
LCM(771,560) = 431760 / 1
LCM(771,560) = 431760
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FAQs on GCF of Fractions of 1983/771, 7743/560
1. What is the HCF of 1983,7743?
The HCF of 1983,7743 is 3
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 1983/771, 7743/560?
Answer: GCF of Numerators as per given numbers 1983/771, 7743/560 is
GCF of Numerators i.e. for 1983,7743 is 3
LCM of denominators i.e. for 771,560 is 431760.
Thus, GCF of Fractions is 3/431760.Finally, GCF of Fractions for 1983/771, 7743/560 is 3/431760.