GCF of 1730/139, 9235/6533
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1730/139, 9235/6533 i.e 5/6533 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1730/139, 9235/6533.
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 1730/139,9235/6533?
Given fractions are 1730/139,9235/6533
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 1730/139,9235/6533, numerators are 1730,9235
Denominators are 139,6533
The GCF of 1730,9235 is 5 .
LCM of 139,6533 is 6533.
The greatest common factor of 1730/139,9235/6533 = [GCF of 1730,9235]/[LCM of 139,6533]= 5/6533
Therefore, the GCF of 1730/139,9235/6533 is 5/6533.
To find the highest common factor of 1730,9235, we have to find the factors of both numbers and list the highest common factor.
The factors of 1730 are 1, 2, 5, 10, 173, 346, 865, 1730
The factors of 9235 are 1, 5, 1847, 9235
The HCF of 1730,9235 is 5.
Lets's calculate GCF of 1730,9235
| 5 | 1730, 9235 |
| 346, 1847 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1730,9235 By Matching Biggest Common Factor Method
Now, list down the factors of 1730
:1,2,5,10,173,346,865,1730
Now, list down the factors of 9235
:1,5,1847,9235
Greatest Common Factor
We found the factors 1730,9235 . The biggest common factor number is the GCF number.
So the greatest common factor 1730,9235 is 5.
Lets's calculate LCM of 139,6533
| 139 | 139, 6533 |
| 1, 47 |
∴ So the LCM of the given numbers is 139 x 1 x 47 = 6533
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/6533
Therefore, the GCF of Fractions 1730/139,9235/6533 is 5/6533
Least Common Multiple of 139,6533 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 139,6533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(139,6533) = 139
common factors(in case of two or more numbers have common factors) = 1
GCF(139,6533) x common factors =139 x 1 = 139
LCM(139,6533) = ( 139 × 6533 ) / 139
LCM(139,6533) = 908087 / 139
LCM(139,6533) = 6533
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FAQs on GCF of Fractions of 1730/139, 9235/6533
1. What is the HCF of 1730,9235?
The HCF of 1730,9235 is 5
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 1730/139, 9235/6533?
Answer: GCF of Numerators as per given numbers 1730/139, 9235/6533 is
GCF of Numerators i.e. for 1730,9235 is 5
LCM of denominators i.e. for 139,6533 is 6533.
Thus, GCF of Fractions is 5/6533.Finally, GCF of Fractions for 1730/139, 9235/6533 is 5/6533.