GCF of 2628/192, 5677/611
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2628/192, 5677/611 i.e 1/117312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2628/192, 5677/611.
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 2628/192,5677/611?
Given fractions are 2628/192,5677/611
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 2628/192,5677/611, numerators are 2628,5677
Denominators are 192,611
The GCF of 2628,5677 is 1 .
LCM of 192,611 is 117312.
The greatest common factor of 2628/192,5677/611 = [GCF of 2628,5677]/[LCM of 192,611]= 1/117312
Therefore, the GCF of 2628/192,5677/611 is 1/117312.
To find the highest common factor of 2628,5677, we have to find the factors of both numbers and list the highest common factor.
The factors of 2628 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 73, 146, 219, 292, 438, 657, 876, 1314, 2628
The factors of 5677 are 1, 7, 811, 5677
The HCF of 2628,5677 is 1.
Lets's calculate GCF of 2628,5677
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2628,5677 By Matching Biggest Common Factor Method
Now, list down the factors of 2628
:1,2,3,4,6,9,12,18,36,73,146,219,292,438,657,876,1314,2628
Now, list down the factors of 5677
:1,7,811,5677
Greatest Common Factor
We found the factors 2628,5677 . The biggest common factor number is the GCF number.
So the greatest common factor 2628,5677 is 1.
Lets's calculate LCM of 192,611
Given numbers has no common factors except 1. So, there LCM is their product i.e 117312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/117312
Therefore, the GCF of Fractions 2628/192,5677/611 is 1/117312
Least Common Multiple of 192,611 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 192,611 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(192,611) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(192,611) x common factors =1 x 1 = 1
LCM(192,611) = ( 192 × 611 ) / 1
LCM(192,611) = 117312 / 1
LCM(192,611) = 117312
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FAQs on GCF of Fractions of 2628/192, 5677/611
1. What is the HCF of 2628,5677?
The HCF of 2628,5677 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 2628/192, 5677/611?
Answer: GCF of Numerators as per given numbers 2628/192, 5677/611 is
GCF of Numerators i.e. for 2628,5677 is 1
LCM of denominators i.e. for 192,611 is 117312.
Thus, GCF of Fractions is 1/117312.Finally, GCF of Fractions for 2628/192, 5677/611 is 1/117312.