GCF of 6172/894, 2677/5420
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6172/894, 2677/5420 i.e 1/2422740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6172/894, 2677/5420.
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 6172/894,2677/5420?
Given fractions are 6172/894,2677/5420
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 6172/894,2677/5420, numerators are 6172,2677
Denominators are 894,5420
The GCF of 6172,2677 is 1 .
LCM of 894,5420 is 2422740.
The greatest common factor of 6172/894,2677/5420 = [GCF of 6172,2677]/[LCM of 894,5420]= 1/2422740
Therefore, the GCF of 6172/894,2677/5420 is 1/2422740.
To find the highest common factor of 6172,2677, we have to find the factors of both numbers and list the highest common factor.
The factors of 6172 are 1, 2, 4, 1543, 3086, 6172
The factors of 2677 are 1, 2677
The HCF of 6172,2677 is 1.
Lets's calculate GCF of 6172,2677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6172,2677 By Matching Biggest Common Factor Method
Now, list down the factors of 6172
:1,2,4,1543,3086,6172
Now, list down the factors of 2677
:1,2677
Greatest Common Factor
We found the factors 6172,2677 . The biggest common factor number is the GCF number.
So the greatest common factor 6172,2677 is 1.
Lets's calculate LCM of 894,5420
| 2 | 894, 5420 |
| 447, 2710 |
∴ So the LCM of the given numbers is 2 x 447 x 2710 = 2422740
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2422740
Therefore, the GCF of Fractions 6172/894,2677/5420 is 1/2422740
Least Common Multiple of 894,5420 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 894,5420 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(894,5420) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(894,5420) x common factors =2 x 1 = 2
LCM(894,5420) = ( 894 × 5420 ) / 2
LCM(894,5420) = 4845480 / 2
LCM(894,5420) = 2422740
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FAQs on GCF of Fractions of 6172/894, 2677/5420
1. What is the HCF of 6172,2677?
The HCF of 6172,2677 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 6172/894, 2677/5420?
Answer: GCF of Numerators as per given numbers 6172/894, 2677/5420 is
GCF of Numerators i.e. for 6172,2677 is 1
LCM of denominators i.e. for 894,5420 is 2422740.
Thus, GCF of Fractions is 1/2422740.Finally, GCF of Fractions for 6172/894, 2677/5420 is 1/2422740.