GCF of 6734/393, 7042/766
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6734/393, 7042/766 i.e 14/301038 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6734/393, 7042/766.
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 6734/393,7042/766?
Given fractions are 6734/393,7042/766
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 6734/393,7042/766, numerators are 6734,7042
Denominators are 393,766
The GCF of 6734,7042 is 14 .
LCM of 393,766 is 301038.
The greatest common factor of 6734/393,7042/766 = [GCF of 6734,7042]/[LCM of 393,766]= 14/301038
Therefore, the GCF of 6734/393,7042/766 is 14/301038.
To find the highest common factor of 6734,7042, we have to find the factors of both numbers and list the highest common factor.
The factors of 6734 are 1, 2, 7, 13, 14, 26, 37, 74, 91, 182, 259, 481, 518, 962, 3367, 6734
The factors of 7042 are 1, 2, 7, 14, 503, 1006, 3521, 7042
The HCF of 6734,7042 is 14.
Lets's calculate GCF of 6734,7042
| 2 | 6734, 7042 |
| 7 | 3367, 3521 |
| 481, 503 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 6734,7042 By Matching Biggest Common Factor Method
Now, list down the factors of 6734
:1,2,7,13,14,26,37,74,91,182,259,481,518,962,3367,6734
Now, list down the factors of 7042
:1,2,7,14,503,1006,3521,7042
Greatest Common Factor
We found the factors 6734,7042 . The biggest common factor number is the GCF number.
So the greatest common factor 6734,7042 is 14.
Lets's calculate LCM of 393,766
Given numbers has no common factors except 1. So, there LCM is their product i.e 301038
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/301038
Therefore, the GCF of Fractions 6734/393,7042/766 is 14/301038
Least Common Multiple of 393,766 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 393,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(393,766) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(393,766) x common factors =1 x 1 = 1
LCM(393,766) = ( 393 × 766 ) / 1
LCM(393,766) = 301038 / 1
LCM(393,766) = 301038
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FAQs on GCF of Fractions of 6734/393, 7042/766
1. What is the HCF of 6734,7042?
The HCF of 6734,7042 is 14
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 6734/393, 7042/766?
Answer: GCF of Numerators as per given numbers 6734/393, 7042/766 is
GCF of Numerators i.e. for 6734,7042 is 14
LCM of denominators i.e. for 393,766 is 301038.
Thus, GCF of Fractions is 14/301038.Finally, GCF of Fractions for 6734/393, 7042/766 is 14/301038.