GCF of 5100/714, 9713/7211
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5100/714, 9713/7211 i.e 1/5148654 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5100/714, 9713/7211.
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 5100/714,9713/7211?
Given fractions are 5100/714,9713/7211
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 5100/714,9713/7211, numerators are 5100,9713
Denominators are 714,7211
The GCF of 5100,9713 is 1 .
LCM of 714,7211 is 5148654.
The greatest common factor of 5100/714,9713/7211 = [GCF of 5100,9713]/[LCM of 714,7211]= 1/5148654
Therefore, the GCF of 5100/714,9713/7211 is 1/5148654.
To find the highest common factor of 5100,9713, we have to find the factors of both numbers and list the highest common factor.
The factors of 5100 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 150, 170, 204, 255, 300, 340, 425, 510, 850, 1020, 1275, 1700, 2550, 5100
The factors of 9713 are 1, 11, 883, 9713
The HCF of 5100,9713 is 1.
Lets's calculate GCF of 5100,9713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5100,9713 By Matching Biggest Common Factor Method
Now, list down the factors of 5100
:1,2,3,4,5,6,10,12,15,17,20,25,30,34,50,51,60,68,75,85,100,102,150,170,204,255,300,340,425,510,850,1020,1275,1700,2550,5100
Now, list down the factors of 9713
:1,11,883,9713
Greatest Common Factor
We found the factors 5100,9713 . The biggest common factor number is the GCF number.
So the greatest common factor 5100,9713 is 1.
Lets's calculate LCM of 714,7211
Given numbers has no common factors except 1. So, there LCM is their product i.e 5148654
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5148654
Therefore, the GCF of Fractions 5100/714,9713/7211 is 1/5148654
Least Common Multiple of 714,7211 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 714,7211 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(714,7211) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(714,7211) x common factors =1 x 1 = 1
LCM(714,7211) = ( 714 × 7211 ) / 1
LCM(714,7211) = 5148654 / 1
LCM(714,7211) = 5148654
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FAQs on GCF of Fractions of 5100/714, 9713/7211
1. What is the HCF of 5100,9713?
The HCF of 5100,9713 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 5100/714, 9713/7211?
Answer: GCF of Numerators as per given numbers 5100/714, 9713/7211 is
GCF of Numerators i.e. for 5100,9713 is 1
LCM of denominators i.e. for 714,7211 is 5148654.
Thus, GCF of Fractions is 1/5148654.Finally, GCF of Fractions for 5100/714, 9713/7211 is 1/5148654.