GCF of 3229/156, 5245/7035
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3229/156, 5245/7035 i.e 1/365820 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3229/156, 5245/7035.
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 3229/156,5245/7035?
Given fractions are 3229/156,5245/7035
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 3229/156,5245/7035, numerators are 3229,5245
Denominators are 156,7035
The GCF of 3229,5245 is 1 .
LCM of 156,7035 is 365820.
The greatest common factor of 3229/156,5245/7035 = [GCF of 3229,5245]/[LCM of 156,7035]= 1/365820
Therefore, the GCF of 3229/156,5245/7035 is 1/365820.
To find the highest common factor of 3229,5245, we have to find the factors of both numbers and list the highest common factor.
The factors of 3229 are 1, 3229
The factors of 5245 are 1, 5, 1049, 5245
The HCF of 3229,5245 is 1.
Lets's calculate GCF of 3229,5245
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3229,5245 By Matching Biggest Common Factor Method
Now, list down the factors of 3229
:1,3229
Now, list down the factors of 5245
:1,5,1049,5245
Greatest Common Factor
We found the factors 3229,5245 . The biggest common factor number is the GCF number.
So the greatest common factor 3229,5245 is 1.
Lets's calculate LCM of 156,7035
| 3 | 156, 7035 |
| 52, 2345 |
∴ So the LCM of the given numbers is 3 x 52 x 2345 = 365820
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/365820
Therefore, the GCF of Fractions 3229/156,5245/7035 is 1/365820
Least Common Multiple of 156,7035 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 156,7035 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(156,7035) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(156,7035) x common factors =3 x 1 = 3
LCM(156,7035) = ( 156 × 7035 ) / 3
LCM(156,7035) = 1097460 / 3
LCM(156,7035) = 365820
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FAQs on GCF of Fractions of 3229/156, 5245/7035
1. What is the HCF of 3229,5245?
The HCF of 3229,5245 is 1
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 3229/156, 5245/7035?
Answer: GCF of Numerators as per given numbers 3229/156, 5245/7035 is
GCF of Numerators i.e. for 3229,5245 is 1
LCM of denominators i.e. for 156,7035 is 365820.
Thus, GCF of Fractions is 1/365820.Finally, GCF of Fractions for 3229/156, 5245/7035 is 1/365820.