GCF of 6795/474, 7648/583
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6795/474, 7648/583 i.e 1/276342 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6795/474, 7648/583.
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 6795/474,7648/583?
Given fractions are 6795/474,7648/583
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 6795/474,7648/583, numerators are 6795,7648
Denominators are 474,583
The GCF of 6795,7648 is 1 .
LCM of 474,583 is 276342.
The greatest common factor of 6795/474,7648/583 = [GCF of 6795,7648]/[LCM of 474,583]= 1/276342
Therefore, the GCF of 6795/474,7648/583 is 1/276342.
To find the highest common factor of 6795,7648, we have to find the factors of both numbers and list the highest common factor.
The factors of 6795 are 1, 3, 5, 9, 15, 45, 151, 453, 755, 1359, 2265, 6795
The factors of 7648 are 1, 2, 4, 8, 16, 32, 239, 478, 956, 1912, 3824, 7648
The HCF of 6795,7648 is 1.
Lets's calculate GCF of 6795,7648
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6795,7648 By Matching Biggest Common Factor Method
Now, list down the factors of 6795
:1,3,5,9,15,45,151,453,755,1359,2265,6795
Now, list down the factors of 7648
:1,2,4,8,16,32,239,478,956,1912,3824,7648
Greatest Common Factor
We found the factors 6795,7648 . The biggest common factor number is the GCF number.
So the greatest common factor 6795,7648 is 1.
Lets's calculate LCM of 474,583
Given numbers has no common factors except 1. So, there LCM is their product i.e 276342
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/276342
Therefore, the GCF of Fractions 6795/474,7648/583 is 1/276342
Least Common Multiple of 474,583 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 474,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(474,583) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(474,583) x common factors =1 x 1 = 1
LCM(474,583) = ( 474 × 583 ) / 1
LCM(474,583) = 276342 / 1
LCM(474,583) = 276342
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FAQs on GCF of Fractions of 6795/474, 7648/583
1. What is the HCF of 6795,7648?
The HCF of 6795,7648 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 6795/474, 7648/583?
Answer: GCF of Numerators as per given numbers 6795/474, 7648/583 is
GCF of Numerators i.e. for 6795,7648 is 1
LCM of denominators i.e. for 474,583 is 276342.
Thus, GCF of Fractions is 1/276342.Finally, GCF of Fractions for 6795/474, 7648/583 is 1/276342.