GCF of 6072/172, 3745/597
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6072/172, 3745/597 i.e 1/102684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6072/172, 3745/597.
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 6072/172,3745/597?
Given fractions are 6072/172,3745/597
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 6072/172,3745/597, numerators are 6072,3745
Denominators are 172,597
The GCF of 6072,3745 is 1 .
LCM of 172,597 is 102684.
The greatest common factor of 6072/172,3745/597 = [GCF of 6072,3745]/[LCM of 172,597]= 1/102684
Therefore, the GCF of 6072/172,3745/597 is 1/102684.
To find the highest common factor of 6072,3745, we have to find the factors of both numbers and list the highest common factor.
The factors of 6072 are 1, 2, 3, 4, 6, 8, 11, 12, 22, 23, 24, 33, 44, 46, 66, 69, 88, 92, 132, 138, 184, 253, 264, 276, 506, 552, 759, 1012, 1518, 2024, 3036, 6072
The factors of 3745 are 1, 5, 7, 35, 107, 535, 749, 3745
The HCF of 6072,3745 is 1.
Lets's calculate GCF of 6072,3745
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6072,3745 By Matching Biggest Common Factor Method
Now, list down the factors of 6072
:1,2,3,4,6,8,11,12,22,23,24,33,44,46,66,69,88,92,132,138,184,253,264,276,506,552,759,1012,1518,2024,3036,6072
Now, list down the factors of 3745
:1,5,7,35,107,535,749,3745
Greatest Common Factor
We found the factors 6072,3745 . The biggest common factor number is the GCF number.
So the greatest common factor 6072,3745 is 1.
Lets's calculate LCM of 172,597
Given numbers has no common factors except 1. So, there LCM is their product i.e 102684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102684
Therefore, the GCF of Fractions 6072/172,3745/597 is 1/102684
Least Common Multiple of 172,597 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 172,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(172,597) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(172,597) x common factors =1 x 1 = 1
LCM(172,597) = ( 172 × 597 ) / 1
LCM(172,597) = 102684 / 1
LCM(172,597) = 102684
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FAQs on GCF of Fractions of 6072/172, 3745/597
1. What is the HCF of 6072,3745?
The HCF of 6072,3745 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 6072/172, 3745/597?
Answer: GCF of Numerators as per given numbers 6072/172, 3745/597 is
GCF of Numerators i.e. for 6072,3745 is 1
LCM of denominators i.e. for 172,597 is 102684.
Thus, GCF of Fractions is 1/102684.Finally, GCF of Fractions for 6072/172, 3745/597 is 1/102684.