GCF of 6187/977, 1104/7742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6187/977, 1104/7742 i.e 23/7563934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6187/977, 1104/7742.
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 6187/977,1104/7742?
Given fractions are 6187/977,1104/7742
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 6187/977,1104/7742, numerators are 6187,1104
Denominators are 977,7742
The GCF of 6187,1104 is 23 .
LCM of 977,7742 is 7563934.
The greatest common factor of 6187/977,1104/7742 = [GCF of 6187,1104]/[LCM of 977,7742]= 23/7563934
Therefore, the GCF of 6187/977,1104/7742 is 23/7563934.
To find the highest common factor of 6187,1104, we have to find the factors of both numbers and list the highest common factor.
The factors of 6187 are 1, 23, 269, 6187
The factors of 1104 are 1, 2, 3, 4, 6, 8, 12, 16, 23, 24, 46, 48, 69, 92, 138, 184, 276, 368, 552, 1104
The HCF of 6187,1104 is 23.
Lets's calculate GCF of 6187,1104
| 23 | 6187, 1104 |
| 269, 48 |
∴ So the GCF of the given numbers is 23 = 23
Greatest Common Factor of 6187,1104 By Matching Biggest Common Factor Method
Now, list down the factors of 6187
:1,23,269,6187
Now, list down the factors of 1104
:1,2,3,4,6,8,12,16,23,24,46,48,69,92,138,184,276,368,552,1104
Greatest Common Factor
We found the factors 6187,1104 . The biggest common factor number is the GCF number.
So the greatest common factor 6187,1104 is 23.
Lets's calculate LCM of 977,7742
Given numbers has no common factors except 1. So, there LCM is their product i.e 7563934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 23/7563934
Therefore, the GCF of Fractions 6187/977,1104/7742 is 23/7563934
Least Common Multiple of 977,7742 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 977,7742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(977,7742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(977,7742) x common factors =1 x 1 = 1
LCM(977,7742) = ( 977 × 7742 ) / 1
LCM(977,7742) = 7563934 / 1
LCM(977,7742) = 7563934
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FAQs on GCF of Fractions of 6187/977, 1104/7742
1. What is the HCF of 6187,1104?
The HCF of 6187,1104 is 23
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 6187/977, 1104/7742?
Answer: GCF of Numerators as per given numbers 6187/977, 1104/7742 is
GCF of Numerators i.e. for 6187,1104 is 23
LCM of denominators i.e. for 977,7742 is 7563934.
Thus, GCF of Fractions is 23/7563934.Finally, GCF of Fractions for 6187/977, 1104/7742 is 23/7563934.