GCF of 196/937, 155/175
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 196/937, 155/175 i.e 1/163975 easily. The following is the detailed procedure to determine the greatest common factor of fractions 196/937, 155/175.
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 196/937,155/175?
Given fractions are 196/937,155/175
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 196/937,155/175, numerators are 196,155
Denominators are 937,175
The GCF of 196,155 is 1 .
LCM of 937,175 is 163975.
The greatest common factor of 196/937,155/175 = [GCF of 196,155]/[LCM of 937,175]= 1/163975
Therefore, the GCF of 196/937,155/175 is 1/163975.
To find the highest common factor of 196,155, we have to find the factors of both numbers and list the highest common factor.
The factors of 196 are 1, 2, 4, 7, 14, 28, 49, 98, 196
The factors of 155 are 1, 5, 31, 155
The HCF of 196,155 is 1.
Lets's calculate GCF of 196,155
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 196,155 By Matching Biggest Common Factor Method
Now, list down the factors of 196
:1,2,4,7,14,28,49,98,196
Now, list down the factors of 155
:1,5,31,155
Greatest Common Factor
We found the factors 196,155 . The biggest common factor number is the GCF number.
So the greatest common factor 196,155 is 1.
Lets's calculate LCM of 937,175
Given numbers has no common factors except 1. So, there LCM is their product i.e 163975
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/163975
Therefore, the GCF of Fractions 196/937,155/175 is 1/163975
Least Common Multiple of 937,175 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 937,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(937,175) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(937,175) x common factors =1 x 1 = 1
LCM(937,175) = ( 937 × 175 ) / 1
LCM(937,175) = 163975 / 1
LCM(937,175) = 163975
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 196/937, 155/175
1. What is the HCF of 196,155?
The HCF of 196,155 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 196/937, 155/175?
Answer: GCF of Numerators as per given numbers 196/937, 155/175 is
GCF of Numerators i.e. for 196,155 is 1
LCM of denominators i.e. for 937,175 is 163975.
Thus, GCF of Fractions is 1/163975.Finally, GCF of Fractions for 196/937, 155/175 is 1/163975.