GCF of 1743/633, 7470/1966
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1743/633, 7470/1966 i.e 249/1244478 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1743/633, 7470/1966.
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 1743/633,7470/1966?
Given fractions are 1743/633,7470/1966
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 1743/633,7470/1966, numerators are 1743,7470
Denominators are 633,1966
The GCF of 1743,7470 is 249 .
LCM of 633,1966 is 1244478.
The greatest common factor of 1743/633,7470/1966 = [GCF of 1743,7470]/[LCM of 633,1966]= 249/1244478
Therefore, the GCF of 1743/633,7470/1966 is 249/1244478.
To find the highest common factor of 1743,7470, we have to find the factors of both numbers and list the highest common factor.
The factors of 1743 are 1, 3, 7, 21, 83, 249, 581, 1743
The factors of 7470 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 83, 90, 166, 249, 415, 498, 747, 830, 1245, 1494, 2490, 3735, 7470
The HCF of 1743,7470 is 249.
Lets's calculate GCF of 1743,7470
| 3 | 1743, 7470 |
| 83 | 581, 2490 |
| 7, 30 |
∴ So the GCF of the given numbers is 3 x 83 = 249
Greatest Common Factor of 1743,7470 By Matching Biggest Common Factor Method
Now, list down the factors of 1743
:1,3,7,21,83,249,581,1743
Now, list down the factors of 7470
:1,2,3,5,6,9,10,15,18,30,45,83,90,166,249,415,498,747,830,1245,1494,2490,3735,7470
Greatest Common Factor
We found the factors 1743,7470 . The biggest common factor number is the GCF number.
So the greatest common factor 1743,7470 is 249.
Lets's calculate LCM of 633,1966
Given numbers has no common factors except 1. So, there LCM is their product i.e 1244478
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 249/1244478
Therefore, the GCF of Fractions 1743/633,7470/1966 is 249/1244478
Least Common Multiple of 633,1966 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 633,1966 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,1966) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(633,1966) x common factors =1 x 1 = 1
LCM(633,1966) = ( 633 × 1966 ) / 1
LCM(633,1966) = 1244478 / 1
LCM(633,1966) = 1244478
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FAQs on GCF of Fractions of 1743/633, 7470/1966
1. What is the HCF of 1743,7470?
The HCF of 1743,7470 is 249
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 1743/633, 7470/1966?
Answer: GCF of Numerators as per given numbers 1743/633, 7470/1966 is
GCF of Numerators i.e. for 1743,7470 is 249
LCM of denominators i.e. for 633,1966 is 1244478.
Thus, GCF of Fractions is 249/1244478.Finally, GCF of Fractions for 1743/633, 7470/1966 is 249/1244478.