GCF of 34/179, 524/865, 193/168
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 34/179, 524/865, 193/168 i.e 1/26012280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 34/179, 524/865, 193/168.
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 34/179,524/865,193/168?
Given fractions are 34/179,524/865,193/168
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 34/179,524/865,193/168, numerators are 34,524,193
Denominators are 179,865,168
The GCF of 34,524,193 is 1 .
LCM of 179,865,168 is 26012280.
The greatest common factor of 34/179,524/865,193/168 = [GCF of 34,524,193]/[LCM of 179,865,168]= 1/26012280
Therefore, the GCF of 34/179,524/865,193/168 is 1/26012280.
To find the highest common factor of 34,524,193, we have to find the factors of both numbers and list the highest common factor.
The factors of 34 are 1, 2, 17, 34
The factors of 524 are 1, 2, 4, 131, 262, 524
The factors of 193 are 1, 193
The HCF of 34,524,193 is 1.
Lets's calculate GCF of 34,524,193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 34,524,193 By Matching Biggest Common Factor Method
Now, list down the factors of 34
:1,2,17,34
Now, list down the factors of 524
:1,2,4,131,262,524
Now, list down the factors of 193
:1,193
Greatest Common Factor
We found the factors 34,524,193 . The biggest common factor number is the GCF number.
So the greatest common factor 34,524,193 is 1.
Lets's calculate LCM of 179,865,168
Given numbers has no common factors except 1. So, there LCM is their product i.e 26012280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/26012280
Therefore, the GCF of Fractions 34/179,524/865,193/168 is 1/26012280
Least Common Multiple of 179,865,168 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 179,865,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,865,168) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,865,168) x common factors =1 x 1 = 1
LCM(179,865,168) = ( 179 × 865 × 168 ) / 1
LCM(179,865,168) = 26012280 / 1
LCM(179,865,168) = 26012280
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FAQs on GCF of Fractions of 34/179, 524/865, 193/168
1. What is the HCF of 34,524,193?
The HCF of 34,524,193 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 34/179, 524/865, 193/168?
Answer: GCF of Numerators as per given numbers 34/179, 524/865, 193/168 is
GCF of Numerators i.e. for 34,524,193 is 1
LCM of denominators i.e. for 179,865,168 is 26012280.
Thus, GCF of Fractions is 1/26012280.Finally, GCF of Fractions for 34/179, 524/865, 193/168 is 1/26012280.