GCF of 175/75, 206/670
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 175/75, 206/670 i.e 1/10050 easily. The following is the detailed procedure to determine the greatest common factor of fractions 175/75, 206/670.
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 175/75,206/670?
Given fractions are 175/75,206/670
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 175/75,206/670, numerators are 175,206
Denominators are 75,670
The GCF of 175,206 is 1 .
LCM of 75,670 is 10050.
The greatest common factor of 175/75,206/670 = [GCF of 175,206]/[LCM of 75,670]= 1/10050
Therefore, the GCF of 175/75,206/670 is 1/10050.
To find the highest common factor of 175,206, 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 206 are 1, 2, 103, 206
The HCF of 175,206 is 1.
Lets's calculate GCF of 175,206
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 175,206 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 206
:1,2,103,206
Greatest Common Factor
We found the factors 175,206 . The biggest common factor number is the GCF number.
So the greatest common factor 175,206 is 1.
Lets's calculate LCM of 75,670
| 5 | 75, 670 |
| 15, 134 |
∴ So the LCM of the given numbers is 5 x 15 x 134 = 10050
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10050
Therefore, the GCF of Fractions 175/75,206/670 is 1/10050
Least Common Multiple of 75,670 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 75,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,670) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(75,670) x common factors =5 x 1 = 5
LCM(75,670) = ( 75 × 670 ) / 5
LCM(75,670) = 50250 / 5
LCM(75,670) = 10050
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FAQs on GCF of Fractions of 175/75, 206/670
1. What is the HCF of 175,206?
The HCF of 175,206 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 175/75, 206/670?
Answer: GCF of Numerators as per given numbers 175/75, 206/670 is
GCF of Numerators i.e. for 175,206 is 1
LCM of denominators i.e. for 75,670 is 10050.
Thus, GCF of Fractions is 1/10050.Finally, GCF of Fractions for 175/75, 206/670 is 1/10050.