Use our free GCF of Fractions Calculator tool to compute the GCF of 167/169, 280/126 i.e 1/21294 easily. The following is the detailed procedure to determine the greatest common factor of fractions 167/169, 280/126.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 167/169,280/126
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 167/169,280/126, numerators are 167,280
Denominators are 169,126
The GCF of 167,280 is 1 .
LCM of 169,126 is 21294.
The greatest common factor of 167/169,280/126 = [GCF of 167,280]/[LCM of 169,126]= 1/21294
Therefore, the GCF of 167/169,280/126 is 1/21294.
To find the highest common factor of 167,280, we have to find the factors of both numbers and list the highest common factor.
The factors of 167 are 1, 167
The factors of 280 are 1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
The HCF of 167,280 is 1.
Lets's calculate GCF of 167,280
∴ So GCF of numbers is 1 because of no common factors present between them.
Now, list down the factors of 167
:1,167
Now, list down the factors of 280
:1,2,4,5,7,8,10,14,20,28,35,40,56,70,140,280
Greatest Common Factor
We found the factors 167,280 . The biggest common factor number is the GCF number.
So the greatest common factor 167,280 is 1.
Lets's calculate LCM of 169,126
Given numbers has no common factors except 1. So, there LCM is their product i.e 21294
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21294
Therefore, the GCF of Fractions 167/169,280/126 is 1/21294
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 169,126 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(169,126) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(169,126) x common factors =1 x 1 = 1
LCM(169,126) = ( 169 × 126 ) / 1
LCM(169,126) = 21294 / 1
LCM(169,126) = 21294
Here are some samples of GCF of Fractions calculations.
1. What is the HCF of 167,280?
The HCF of 167,280 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 167/169, 280/126?
Answer: GCF of Numerators as per given numbers 167/169, 280/126 is
GCF of Numerators i.e. for 167,280 is 1
LCM of denominators i.e. for 169,126 is 21294.
Thus, GCF of Fractions is 1/21294.Finally, GCF of Fractions for 167/169, 280/126 is 1/21294.