GCF of 175/55, 407/155
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 175/55, 407/155 i.e 1/1705 easily. The following is the detailed procedure to determine the greatest common factor of fractions 175/55, 407/155.
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 175/55,407/155?
Given fractions are 175/55,407/155
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 175/55,407/155, numerators are 175,407
Denominators are 55,155
The GCF of 175,407 is 1 .
LCM of 55,155 is 1705.
The greatest common factor of 175/55,407/155 = [GCF of 175,407]/[LCM of 55,155]= 1/1705
Therefore, the GCF of 175/55,407/155 is 1/1705.
To find the highest common factor of 175,407, we have to find the factors of both numbers and list the highest common factor.
The factors of 175 are 1, 5, 7, 25, 35, 175
The factors of 407 are 1, 11, 37, 407
The HCF of 175,407 is 1.
Lets's calculate GCF of 175,407
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 175,407 By Matching Biggest Common Factor Method
Now, list down the factors of 175
:1,5,7,25,35,175
Now, list down the factors of 407
:1,11,37,407
Greatest Common Factor
We found the factors 175,407 . The biggest common factor number is the GCF number.
So the greatest common factor 175,407 is 1.
Lets's calculate LCM of 55,155
| 5 | 55, 155 |
| 11, 31 |
∴ So the LCM of the given numbers is 5 x 11 x 31 = 1705
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1705
Therefore, the GCF of Fractions 175/55,407/155 is 1/1705
Least Common Multiple of 55,155 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 55,155 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(55,155) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(55,155) x common factors =5 x 1 = 5
LCM(55,155) = ( 55 × 155 ) / 5
LCM(55,155) = 8525 / 5
LCM(55,155) = 1705
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FAQs on GCF of Fractions of 175/55, 407/155
1. What is the HCF of 175,407?
The HCF of 175,407 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 175/55, 407/155?
Answer: GCF of Numerators as per given numbers 175/55, 407/155 is
GCF of Numerators i.e. for 175,407 is 1
LCM of denominators i.e. for 55,155 is 1705.
Thus, GCF of Fractions is 1/1705.Finally, GCF of Fractions for 175/55, 407/155 is 1/1705.