GCF of 155/270, 403/984
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 155/270, 403/984 i.e 31/44280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 155/270, 403/984.
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 155/270,403/984?
Given fractions are 155/270,403/984
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 155/270,403/984, numerators are 155,403
Denominators are 270,984
The GCF of 155,403 is 31 .
LCM of 270,984 is 44280.
The greatest common factor of 155/270,403/984 = [GCF of 155,403]/[LCM of 270,984]= 31/44280
Therefore, the GCF of 155/270,403/984 is 31/44280.
To find the highest common factor of 155,403, we have to find the factors of both numbers and list the highest common factor.
The factors of 155 are 1, 5, 31, 155
The factors of 403 are 1, 13, 31, 403
The HCF of 155,403 is 31.
Lets's calculate GCF of 155,403
| 31 | 155, 403 |
| 5, 13 |
∴ So the GCF of the given numbers is 31 = 31
Greatest Common Factor of 155,403 By Matching Biggest Common Factor Method
Now, list down the factors of 155
:1,5,31,155
Now, list down the factors of 403
:1,13,31,403
Greatest Common Factor
We found the factors 155,403 . The biggest common factor number is the GCF number.
So the greatest common factor 155,403 is 31.
Lets's calculate LCM of 270,984
| 2 | 270, 984 |
| 3 | 135, 492 |
| 45, 164 |
∴ So the LCM of the given numbers is 2 x 3 x 45 x 164 = 44280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 31/44280
Therefore, the GCF of Fractions 155/270,403/984 is 31/44280
Least Common Multiple of 270,984 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 270,984 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(270,984) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(270,984) x common factors =6 x 1 = 6
LCM(270,984) = ( 270 × 984 ) / 6
LCM(270,984) = 265680 / 6
LCM(270,984) = 44280
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FAQs on GCF of Fractions of 155/270, 403/984
1. What is the HCF of 155,403?
The HCF of 155,403 is 31
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 155/270, 403/984?
Answer: GCF of Numerators as per given numbers 155/270, 403/984 is
GCF of Numerators i.e. for 155,403 is 31
LCM of denominators i.e. for 270,984 is 44280.
Thus, GCF of Fractions is 31/44280.Finally, GCF of Fractions for 155/270, 403/984 is 31/44280.