GCF of 39/423, 608/999, 172/740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 39/423, 608/999, 172/740 i.e 1/939060 easily. The following is the detailed procedure to determine the greatest common factor of fractions 39/423, 608/999, 172/740.
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 39/423,608/999,172/740?
Given fractions are 39/423,608/999,172/740
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 39/423,608/999,172/740, numerators are 39,608,172
Denominators are 423,999,740
The GCF of 39,608,172 is 1 .
LCM of 423,999,740 is 939060.
The greatest common factor of 39/423,608/999,172/740 = [GCF of 39,608,172]/[LCM of 423,999,740]= 1/939060
Therefore, the GCF of 39/423,608/999,172/740 is 1/939060.
To find the highest common factor of 39,608,172, we have to find the factors of both numbers and list the highest common factor.
The factors of 39 are 1, 3, 13, 39
The factors of 608 are 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
The factors of 172 are 1, 2, 4, 43, 86, 172
The HCF of 39,608,172 is 1.
Lets's calculate GCF of 39,608,172
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 39,608,172 By Matching Biggest Common Factor Method
Now, list down the factors of 39
:1,3,13,39
Now, list down the factors of 608
:1,2,4,8,16,19,32,38,76,152,304,608
Now, list down the factors of 172
:1,2,4,43,86,172
Greatest Common Factor
We found the factors 39,608,172 . The biggest common factor number is the GCF number.
So the greatest common factor 39,608,172 is 1.
Lets's calculate LCM of 423,999,740
| 3 | 423, 999, 740 |
| 3 | 141, 333, 740 |
| 37 | 47, 111, 740 |
| 47, 3, 20 |
∴ So the LCM of the given numbers is 3 x 3 x 37 x 47 x 3 x 20 = 939060
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/939060
Therefore, the GCF of Fractions 39/423,608/999,172/740 is 1/939060
Least Common Multiple of 423,999,740 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 423,999,740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(423,999,740) = 1
common factors(in case of two or more numbers have common factors) = 333
GCF(423,999,740) x common factors =1 x 333 = 333
LCM(423,999,740) = ( 423 × 999 × 740 ) / 333
LCM(423,999,740) = 312706980 / 333
LCM(423,999,740) = 939060
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FAQs on GCF of Fractions of 39/423, 608/999, 172/740
1. What is the HCF of 39,608,172?
The HCF of 39,608,172 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 39/423, 608/999, 172/740?
Answer: GCF of Numerators as per given numbers 39/423, 608/999, 172/740 is
GCF of Numerators i.e. for 39,608,172 is 1
LCM of denominators i.e. for 423,999,740 is 939060.
Thus, GCF of Fractions is 1/939060.Finally, GCF of Fractions for 39/423, 608/999, 172/740 is 1/939060.