GCF of 245/30, 315/181
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 245/30, 315/181 i.e 35/5430 easily. The following is the detailed procedure to determine the greatest common factor of fractions 245/30, 315/181.
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 245/30,315/181?
Given fractions are 245/30,315/181
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 245/30,315/181, numerators are 245,315
Denominators are 30,181
The GCF of 245,315 is 35 .
LCM of 30,181 is 5430.
The greatest common factor of 245/30,315/181 = [GCF of 245,315]/[LCM of 30,181]= 35/5430
Therefore, the GCF of 245/30,315/181 is 35/5430.
To find the highest common factor of 245,315, we have to find the factors of both numbers and list the highest common factor.
The factors of 245 are 1, 5, 7, 35, 49, 245
The factors of 315 are 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
The HCF of 245,315 is 35.
Lets's calculate GCF of 245,315
| 5 | 245, 315 |
| 7 | 49, 63 |
| 7, 9 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 245,315 By Matching Biggest Common Factor Method
Now, list down the factors of 245
:1,5,7,35,49,245
Now, list down the factors of 315
:1,3,5,7,9,15,21,35,45,63,105,315
Greatest Common Factor
We found the factors 245,315 . The biggest common factor number is the GCF number.
So the greatest common factor 245,315 is 35.
Lets's calculate LCM of 30,181
Given numbers has no common factors except 1. So, there LCM is their product i.e 5430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/5430
Therefore, the GCF of Fractions 245/30,315/181 is 35/5430
Least Common Multiple of 30,181 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 30,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(30,181) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(30,181) x common factors =1 x 1 = 1
LCM(30,181) = ( 30 × 181 ) / 1
LCM(30,181) = 5430 / 1
LCM(30,181) = 5430
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FAQs on GCF of Fractions of 245/30, 315/181
1. What is the HCF of 245,315?
The HCF of 245,315 is 35
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 245/30, 315/181?
Answer: GCF of Numerators as per given numbers 245/30, 315/181 is
GCF of Numerators i.e. for 245,315 is 35
LCM of denominators i.e. for 30,181 is 5430.
Thus, GCF of Fractions is 35/5430.Finally, GCF of Fractions for 245/30, 315/181 is 35/5430.