GCF of 1927/343, 7824/6649
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1927/343, 7824/6649 i.e 1/2280607 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1927/343, 7824/6649.
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 1927/343,7824/6649?
Given fractions are 1927/343,7824/6649
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 1927/343,7824/6649, numerators are 1927,7824
Denominators are 343,6649
The GCF of 1927,7824 is 1 .
LCM of 343,6649 is 2280607.
The greatest common factor of 1927/343,7824/6649 = [GCF of 1927,7824]/[LCM of 343,6649]= 1/2280607
Therefore, the GCF of 1927/343,7824/6649 is 1/2280607.
To find the highest common factor of 1927,7824, we have to find the factors of both numbers and list the highest common factor.
The factors of 1927 are 1, 41, 47, 1927
The factors of 7824 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 163, 326, 489, 652, 978, 1304, 1956, 2608, 3912, 7824
The HCF of 1927,7824 is 1.
Lets's calculate GCF of 1927,7824
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1927,7824 By Matching Biggest Common Factor Method
Now, list down the factors of 1927
:1,41,47,1927
Now, list down the factors of 7824
:1,2,3,4,6,8,12,16,24,48,163,326,489,652,978,1304,1956,2608,3912,7824
Greatest Common Factor
We found the factors 1927,7824 . The biggest common factor number is the GCF number.
So the greatest common factor 1927,7824 is 1.
Lets's calculate LCM of 343,6649
Given numbers has no common factors except 1. So, there LCM is their product i.e 2280607
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2280607
Therefore, the GCF of Fractions 1927/343,7824/6649 is 1/2280607
Least Common Multiple of 343,6649 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 343,6649 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(343,6649) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(343,6649) x common factors =1 x 1 = 1
LCM(343,6649) = ( 343 × 6649 ) / 1
LCM(343,6649) = 2280607 / 1
LCM(343,6649) = 2280607
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FAQs on GCF of Fractions of 1927/343, 7824/6649
1. What is the HCF of 1927,7824?
The HCF of 1927,7824 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 1927/343, 7824/6649?
Answer: GCF of Numerators as per given numbers 1927/343, 7824/6649 is
GCF of Numerators i.e. for 1927,7824 is 1
LCM of denominators i.e. for 343,6649 is 2280607.
Thus, GCF of Fractions is 1/2280607.Finally, GCF of Fractions for 1927/343, 7824/6649 is 1/2280607.