GCF of 7556/477, 8711/6817
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7556/477, 8711/6817 i.e 1/3251709 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7556/477, 8711/6817.
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 7556/477,8711/6817?
Given fractions are 7556/477,8711/6817
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 7556/477,8711/6817, numerators are 7556,8711
Denominators are 477,6817
The GCF of 7556,8711 is 1 .
LCM of 477,6817 is 3251709.
The greatest common factor of 7556/477,8711/6817 = [GCF of 7556,8711]/[LCM of 477,6817]= 1/3251709
Therefore, the GCF of 7556/477,8711/6817 is 1/3251709.
To find the highest common factor of 7556,8711, we have to find the factors of both numbers and list the highest common factor.
The factors of 7556 are 1, 2, 4, 1889, 3778, 7556
The factors of 8711 are 1, 31, 281, 8711
The HCF of 7556,8711 is 1.
Lets's calculate GCF of 7556,8711
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7556,8711 By Matching Biggest Common Factor Method
Now, list down the factors of 7556
:1,2,4,1889,3778,7556
Now, list down the factors of 8711
:1,31,281,8711
Greatest Common Factor
We found the factors 7556,8711 . The biggest common factor number is the GCF number.
So the greatest common factor 7556,8711 is 1.
Lets's calculate LCM of 477,6817
Given numbers has no common factors except 1. So, there LCM is their product i.e 3251709
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3251709
Therefore, the GCF of Fractions 7556/477,8711/6817 is 1/3251709
Least Common Multiple of 477,6817 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 477,6817 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(477,6817) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(477,6817) x common factors =1 x 1 = 1
LCM(477,6817) = ( 477 × 6817 ) / 1
LCM(477,6817) = 3251709 / 1
LCM(477,6817) = 3251709
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FAQs on GCF of Fractions of 7556/477, 8711/6817
1. What is the HCF of 7556,8711?
The HCF of 7556,8711 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 7556/477, 8711/6817?
Answer: GCF of Numerators as per given numbers 7556/477, 8711/6817 is
GCF of Numerators i.e. for 7556,8711 is 1
LCM of denominators i.e. for 477,6817 is 3251709.
Thus, GCF of Fractions is 1/3251709.Finally, GCF of Fractions for 7556/477, 8711/6817 is 1/3251709.