GCF of 6927/672, 2912/6055
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6927/672, 2912/6055 i.e 1/581280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6927/672, 2912/6055.
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 6927/672,2912/6055?
Given fractions are 6927/672,2912/6055
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 6927/672,2912/6055, numerators are 6927,2912
Denominators are 672,6055
The GCF of 6927,2912 is 1 .
LCM of 672,6055 is 581280.
The greatest common factor of 6927/672,2912/6055 = [GCF of 6927,2912]/[LCM of 672,6055]= 1/581280
Therefore, the GCF of 6927/672,2912/6055 is 1/581280.
To find the highest common factor of 6927,2912, we have to find the factors of both numbers and list the highest common factor.
The factors of 6927 are 1, 3, 2309, 6927
The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912
The HCF of 6927,2912 is 1.
Lets's calculate GCF of 6927,2912
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6927,2912 By Matching Biggest Common Factor Method
Now, list down the factors of 6927
:1,3,2309,6927
Now, list down the factors of 2912
:1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912
Greatest Common Factor
We found the factors 6927,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 6927,2912 is 1.
Lets's calculate LCM of 672,6055
| 7 | 672, 6055 |
| 96, 865 |
∴ So the LCM of the given numbers is 7 x 96 x 865 = 581280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/581280
Therefore, the GCF of Fractions 6927/672,2912/6055 is 1/581280
Least Common Multiple of 672,6055 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 672,6055 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(672,6055) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(672,6055) x common factors =7 x 1 = 7
LCM(672,6055) = ( 672 × 6055 ) / 7
LCM(672,6055) = 4068960 / 7
LCM(672,6055) = 581280
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FAQs on GCF of Fractions of 6927/672, 2912/6055
1. What is the HCF of 6927,2912?
The HCF of 6927,2912 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 6927/672, 2912/6055?
Answer: GCF of Numerators as per given numbers 6927/672, 2912/6055 is
GCF of Numerators i.e. for 6927,2912 is 1
LCM of denominators i.e. for 672,6055 is 581280.
Thus, GCF of Fractions is 1/581280.Finally, GCF of Fractions for 6927/672, 2912/6055 is 1/581280.