GCF of 172/15, 734/22, 751/37
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 172/15, 734/22, 751/37 i.e 1/12210 easily. The following is the detailed procedure to determine the greatest common factor of fractions 172/15, 734/22, 751/37.
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 172/15,734/22,751/37?
Given fractions are 172/15,734/22,751/37
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 172/15,734/22,751/37, numerators are 172,734,751
Denominators are 15,22,37
The GCF of 172,734,751 is 1 .
LCM of 15,22,37 is 12210.
The greatest common factor of 172/15,734/22,751/37 = [GCF of 172,734,751]/[LCM of 15,22,37]= 1/12210
Therefore, the GCF of 172/15,734/22,751/37 is 1/12210.
To find the highest common factor of 172,734,751, we have to find the factors of both numbers and list the highest common factor.
The factors of 172 are 1, 2, 4, 43, 86, 172
The factors of 734 are 1, 2, 367, 734
The factors of 751 are 1, 751
The HCF of 172,734,751 is 1.
Lets's calculate GCF of 172,734,751
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 172,734,751 By Matching Biggest Common Factor Method
Now, list down the factors of 172
:1,2,4,43,86,172
Now, list down the factors of 734
:1,2,367,734
Now, list down the factors of 751
:1,751
Greatest Common Factor
We found the factors 172,734,751 . The biggest common factor number is the GCF number.
So the greatest common factor 172,734,751 is 1.
Lets's calculate LCM of 15,22,37
Given numbers has no common factors except 1. So, there LCM is their product i.e 12210
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12210
Therefore, the GCF of Fractions 172/15,734/22,751/37 is 1/12210
Least Common Multiple of 15,22,37 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 15,22,37 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(15,22,37) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(15,22,37) x common factors =1 x 1 = 1
LCM(15,22,37) = ( 15 × 22 × 37 ) / 1
LCM(15,22,37) = 12210 / 1
LCM(15,22,37) = 12210
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FAQs on GCF of Fractions of 172/15, 734/22, 751/37
1. What is the HCF of 172,734,751?
The HCF of 172,734,751 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 172/15, 734/22, 751/37?
Answer: GCF of Numerators as per given numbers 172/15, 734/22, 751/37 is
GCF of Numerators i.e. for 172,734,751 is 1
LCM of denominators i.e. for 15,22,37 is 12210.
Thus, GCF of Fractions is 1/12210.Finally, GCF of Fractions for 172/15, 734/22, 751/37 is 1/12210.