GCF of 168/878, 139/230
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 168/878, 139/230 i.e 1/100970 easily. The following is the detailed procedure to determine the greatest common factor of fractions 168/878, 139/230.
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 168/878,139/230?
Given fractions are 168/878,139/230
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 168/878,139/230, numerators are 168,139
Denominators are 878,230
The GCF of 168,139 is 1 .
LCM of 878,230 is 100970.
The greatest common factor of 168/878,139/230 = [GCF of 168,139]/[LCM of 878,230]= 1/100970
Therefore, the GCF of 168/878,139/230 is 1/100970.
To find the highest common factor of 168,139, we have to find the factors of both numbers and list the highest common factor.
The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
The factors of 139 are 1, 139
The HCF of 168,139 is 1.
Lets's calculate GCF of 168,139
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 168,139 By Matching Biggest Common Factor Method
Now, list down the factors of 168
:1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Now, list down the factors of 139
:1,139
Greatest Common Factor
We found the factors 168,139 . The biggest common factor number is the GCF number.
So the greatest common factor 168,139 is 1.
Lets's calculate LCM of 878,230
| 2 | 878, 230 |
| 439, 115 |
∴ So the LCM of the given numbers is 2 x 439 x 115 = 100970
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/100970
Therefore, the GCF of Fractions 168/878,139/230 is 1/100970
Least Common Multiple of 878,230 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 878,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(878,230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(878,230) x common factors =2 x 1 = 2
LCM(878,230) = ( 878 × 230 ) / 2
LCM(878,230) = 201940 / 2
LCM(878,230) = 100970
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FAQs on GCF of Fractions of 168/878, 139/230
1. What is the HCF of 168,139?
The HCF of 168,139 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 168/878, 139/230?
Answer: GCF of Numerators as per given numbers 168/878, 139/230 is
GCF of Numerators i.e. for 168,139 is 1
LCM of denominators i.e. for 878,230 is 100970.
Thus, GCF of Fractions is 1/100970.Finally, GCF of Fractions for 168/878, 139/230 is 1/100970.