GCF of 196/671, 2158/162
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 196/671, 2158/162 i.e 2/108702 easily. The following is the detailed procedure to determine the greatest common factor of fractions 196/671, 2158/162.
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 196/671,2158/162?
Given fractions are 196/671,2158/162
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 196/671,2158/162, numerators are 196,2158
Denominators are 671,162
The GCF of 196,2158 is 2 .
LCM of 671,162 is 108702.
The greatest common factor of 196/671,2158/162 = [GCF of 196,2158]/[LCM of 671,162]= 2/108702
Therefore, the GCF of 196/671,2158/162 is 2/108702.
To find the highest common factor of 196,2158, 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 2158 are 1, 2, 13, 26, 83, 166, 1079, 2158
The HCF of 196,2158 is 2.
Lets's calculate GCF of 196,2158
| 2 | 196, 2158 |
| 98, 1079 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 196,2158 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 2158
:1,2,13,26,83,166,1079,2158
Greatest Common Factor
We found the factors 196,2158 . The biggest common factor number is the GCF number.
So the greatest common factor 196,2158 is 2.
Lets's calculate LCM of 671,162
Given numbers has no common factors except 1. So, there LCM is their product i.e 108702
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/108702
Therefore, the GCF of Fractions 196/671,2158/162 is 2/108702
Least Common Multiple of 671,162 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 671,162 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(671,162) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(671,162) x common factors =1 x 1 = 1
LCM(671,162) = ( 671 × 162 ) / 1
LCM(671,162) = 108702 / 1
LCM(671,162) = 108702
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FAQs on GCF of Fractions of 196/671, 2158/162
1. What is the HCF of 196,2158?
The HCF of 196,2158 is 2
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 196/671, 2158/162?
Answer: GCF of Numerators as per given numbers 196/671, 2158/162 is
GCF of Numerators i.e. for 196,2158 is 2
LCM of denominators i.e. for 671,162 is 108702.
Thus, GCF of Fractions is 2/108702.Finally, GCF of Fractions for 196/671, 2158/162 is 2/108702.