GCF of 1739/633, 6845/660
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1739/633, 6845/660 i.e 37/139260 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1739/633, 6845/660.
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 1739/633,6845/660?
Given fractions are 1739/633,6845/660
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 1739/633,6845/660, numerators are 1739,6845
Denominators are 633,660
The GCF of 1739,6845 is 37 .
LCM of 633,660 is 139260.
The greatest common factor of 1739/633,6845/660 = [GCF of 1739,6845]/[LCM of 633,660]= 37/139260
Therefore, the GCF of 1739/633,6845/660 is 37/139260.
To find the highest common factor of 1739,6845, we have to find the factors of both numbers and list the highest common factor.
The factors of 1739 are 1, 37, 47, 1739
The factors of 6845 are 1, 5, 37, 185, 1369, 6845
The HCF of 1739,6845 is 37.
Lets's calculate GCF of 1739,6845
| 37 | 1739, 6845 |
| 47, 185 |
∴ So the GCF of the given numbers is 37 = 37
Greatest Common Factor of 1739,6845 By Matching Biggest Common Factor Method
Now, list down the factors of 1739
:1,37,47,1739
Now, list down the factors of 6845
:1,5,37,185,1369,6845
Greatest Common Factor
We found the factors 1739,6845 . The biggest common factor number is the GCF number.
So the greatest common factor 1739,6845 is 37.
Lets's calculate LCM of 633,660
| 3 | 633, 660 |
| 211, 220 |
∴ So the LCM of the given numbers is 3 x 211 x 220 = 139260
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 37/139260
Therefore, the GCF of Fractions 1739/633,6845/660 is 37/139260
Least Common Multiple of 633,660 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 633,660 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(633,660) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(633,660) x common factors =3 x 1 = 3
LCM(633,660) = ( 633 × 660 ) / 3
LCM(633,660) = 417780 / 3
LCM(633,660) = 139260
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FAQs on GCF of Fractions of 1739/633, 6845/660
1. What is the HCF of 1739,6845?
The HCF of 1739,6845 is 37
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 1739/633, 6845/660?
Answer: GCF of Numerators as per given numbers 1739/633, 6845/660 is
GCF of Numerators i.e. for 1739,6845 is 37
LCM of denominators i.e. for 633,660 is 139260.
Thus, GCF of Fractions is 37/139260.Finally, GCF of Fractions for 1739/633, 6845/660 is 37/139260.