GCF of 7584/855, 6427/6538
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7584/855, 6427/6538 i.e 1/5589990 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7584/855, 6427/6538.
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 7584/855,6427/6538?
Given fractions are 7584/855,6427/6538
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 7584/855,6427/6538, numerators are 7584,6427
Denominators are 855,6538
The GCF of 7584,6427 is 1 .
LCM of 855,6538 is 5589990.
The greatest common factor of 7584/855,6427/6538 = [GCF of 7584,6427]/[LCM of 855,6538]= 1/5589990
Therefore, the GCF of 7584/855,6427/6538 is 1/5589990.
To find the highest common factor of 7584,6427, we have to find the factors of both numbers and list the highest common factor.
The factors of 7584 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 79, 96, 158, 237, 316, 474, 632, 948, 1264, 1896, 2528, 3792, 7584
The factors of 6427 are 1, 6427
The HCF of 7584,6427 is 1.
Lets's calculate GCF of 7584,6427
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7584,6427 By Matching Biggest Common Factor Method
Now, list down the factors of 7584
:1,2,3,4,6,8,12,16,24,32,48,79,96,158,237,316,474,632,948,1264,1896,2528,3792,7584
Now, list down the factors of 6427
:1,6427
Greatest Common Factor
We found the factors 7584,6427 . The biggest common factor number is the GCF number.
So the greatest common factor 7584,6427 is 1.
Lets's calculate LCM of 855,6538
Given numbers has no common factors except 1. So, there LCM is their product i.e 5589990
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5589990
Therefore, the GCF of Fractions 7584/855,6427/6538 is 1/5589990
Least Common Multiple of 855,6538 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 855,6538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(855,6538) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(855,6538) x common factors =1 x 1 = 1
LCM(855,6538) = ( 855 × 6538 ) / 1
LCM(855,6538) = 5589990 / 1
LCM(855,6538) = 5589990
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FAQs on GCF of Fractions of 7584/855, 6427/6538
1. What is the HCF of 7584,6427?
The HCF of 7584,6427 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 7584/855, 6427/6538?
Answer: GCF of Numerators as per given numbers 7584/855, 6427/6538 is
GCF of Numerators i.e. for 7584,6427 is 1
LCM of denominators i.e. for 855,6538 is 5589990.
Thus, GCF of Fractions is 1/5589990.Finally, GCF of Fractions for 7584/855, 6427/6538 is 1/5589990.