GCF of 67/73, 144/75, 195/152
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 67/73, 144/75, 195/152 i.e 1/832200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 67/73, 144/75, 195/152.
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 67/73,144/75,195/152?
Given fractions are 67/73,144/75,195/152
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 67/73,144/75,195/152, numerators are 67,144,195
Denominators are 73,75,152
The GCF of 67,144,195 is 1 .
LCM of 73,75,152 is 832200.
The greatest common factor of 67/73,144/75,195/152 = [GCF of 67,144,195]/[LCM of 73,75,152]= 1/832200
Therefore, the GCF of 67/73,144/75,195/152 is 1/832200.
To find the highest common factor of 67,144,195, we have to find the factors of both numbers and list the highest common factor.
The factors of 67 are 1, 67
The factors of 144 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
The factors of 195 are 1, 3, 5, 13, 15, 39, 65, 195
The HCF of 67,144,195 is 1.
Lets's calculate GCF of 67,144,195
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 67,144,195 By Matching Biggest Common Factor Method
Now, list down the factors of 67
:1,67
Now, list down the factors of 144
:1,2,3,4,6,8,9,12,16,18,24,36,48,72,144
Now, list down the factors of 195
:1,3,5,13,15,39,65,195
Greatest Common Factor
We found the factors 67,144,195 . The biggest common factor number is the GCF number.
So the greatest common factor 67,144,195 is 1.
Lets's calculate LCM of 73,75,152
Given numbers has no common factors except 1. So, there LCM is their product i.e 832200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/832200
Therefore, the GCF of Fractions 67/73,144/75,195/152 is 1/832200
Least Common Multiple of 73,75,152 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 73,75,152 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(73,75,152) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(73,75,152) x common factors =1 x 1 = 1
LCM(73,75,152) = ( 73 × 75 × 152 ) / 1
LCM(73,75,152) = 832200 / 1
LCM(73,75,152) = 832200
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FAQs on GCF of Fractions of 67/73, 144/75, 195/152
1. What is the HCF of 67,144,195?
The HCF of 67,144,195 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 67/73, 144/75, 195/152?
Answer: GCF of Numerators as per given numbers 67/73, 144/75, 195/152 is
GCF of Numerators i.e. for 67,144,195 is 1
LCM of denominators i.e. for 73,75,152 is 832200.
Thus, GCF of Fractions is 1/832200.Finally, GCF of Fractions for 67/73, 144/75, 195/152 is 1/832200.