GCF of 169/32, 312/87, 251/73
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 169/32, 312/87, 251/73 i.e 1/203232 easily. The following is the detailed procedure to determine the greatest common factor of fractions 169/32, 312/87, 251/73.
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 169/32,312/87,251/73?
Given fractions are 169/32,312/87,251/73
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 169/32,312/87,251/73, numerators are 169,312,251
Denominators are 32,87,73
The GCF of 169,312,251 is 1 .
LCM of 32,87,73 is 203232.
The greatest common factor of 169/32,312/87,251/73 = [GCF of 169,312,251]/[LCM of 32,87,73]= 1/203232
Therefore, the GCF of 169/32,312/87,251/73 is 1/203232.
To find the highest common factor of 169,312,251, we have to find the factors of both numbers and list the highest common factor.
The factors of 169 are 1, 13, 169
The factors of 312 are 1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
The factors of 251 are 1, 251
The HCF of 169,312,251 is 1.
Lets's calculate GCF of 169,312,251
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 169,312,251 By Matching Biggest Common Factor Method
Now, list down the factors of 169
:1,13,169
Now, list down the factors of 312
:1,2,3,4,6,8,12,13,24,26,39,52,78,104,156,312
Now, list down the factors of 251
:1,251
Greatest Common Factor
We found the factors 169,312,251 . The biggest common factor number is the GCF number.
So the greatest common factor 169,312,251 is 1.
Lets's calculate LCM of 32,87,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 203232
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/203232
Therefore, the GCF of Fractions 169/32,312/87,251/73 is 1/203232
Least Common Multiple of 32,87,73 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 32,87,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(32,87,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(32,87,73) x common factors =1 x 1 = 1
LCM(32,87,73) = ( 32 × 87 × 73 ) / 1
LCM(32,87,73) = 203232 / 1
LCM(32,87,73) = 203232
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FAQs on GCF of Fractions of 169/32, 312/87, 251/73
1. What is the HCF of 169,312,251?
The HCF of 169,312,251 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 169/32, 312/87, 251/73?
Answer: GCF of Numerators as per given numbers 169/32, 312/87, 251/73 is
GCF of Numerators i.e. for 169,312,251 is 1
LCM of denominators i.e. for 32,87,73 is 203232.
Thus, GCF of Fractions is 1/203232.Finally, GCF of Fractions for 169/32, 312/87, 251/73 is 1/203232.