GCF of 7117/768, 4014/6282
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7117/768, 4014/6282 i.e 1/804096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7117/768, 4014/6282.
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 7117/768,4014/6282?
Given fractions are 7117/768,4014/6282
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 7117/768,4014/6282, numerators are 7117,4014
Denominators are 768,6282
The GCF of 7117,4014 is 1 .
LCM of 768,6282 is 804096.
The greatest common factor of 7117/768,4014/6282 = [GCF of 7117,4014]/[LCM of 768,6282]= 1/804096
Therefore, the GCF of 7117/768,4014/6282 is 1/804096.
To find the highest common factor of 7117,4014, we have to find the factors of both numbers and list the highest common factor.
The factors of 7117 are 1, 11, 647, 7117
The factors of 4014 are 1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007, 4014
The HCF of 7117,4014 is 1.
Lets's calculate GCF of 7117,4014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7117,4014 By Matching Biggest Common Factor Method
Now, list down the factors of 7117
:1,11,647,7117
Now, list down the factors of 4014
:1,2,3,6,9,18,223,446,669,1338,2007,4014
Greatest Common Factor
We found the factors 7117,4014 . The biggest common factor number is the GCF number.
So the greatest common factor 7117,4014 is 1.
Lets's calculate LCM of 768,6282
| 2 | 768, 6282 |
| 3 | 384, 3141 |
| 128, 1047 |
∴ So the LCM of the given numbers is 2 x 3 x 128 x 1047 = 804096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/804096
Therefore, the GCF of Fractions 7117/768,4014/6282 is 1/804096
Least Common Multiple of 768,6282 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 768,6282 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(768,6282) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(768,6282) x common factors =6 x 1 = 6
LCM(768,6282) = ( 768 × 6282 ) / 6
LCM(768,6282) = 4824576 / 6
LCM(768,6282) = 804096
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FAQs on GCF of Fractions of 7117/768, 4014/6282
1. What is the HCF of 7117,4014?
The HCF of 7117,4014 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 7117/768, 4014/6282?
Answer: GCF of Numerators as per given numbers 7117/768, 4014/6282 is
GCF of Numerators i.e. for 7117,4014 is 1
LCM of denominators i.e. for 768,6282 is 804096.
Thus, GCF of Fractions is 1/804096.Finally, GCF of Fractions for 7117/768, 4014/6282 is 1/804096.