GCF of 6732/349, 7007/593
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6732/349, 7007/593 i.e 11/206957 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6732/349, 7007/593.
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 6732/349,7007/593?
Given fractions are 6732/349,7007/593
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 6732/349,7007/593, numerators are 6732,7007
Denominators are 349,593
The GCF of 6732,7007 is 11 .
LCM of 349,593 is 206957.
The greatest common factor of 6732/349,7007/593 = [GCF of 6732,7007]/[LCM of 349,593]= 11/206957
Therefore, the GCF of 6732/349,7007/593 is 11/206957.
To find the highest common factor of 6732,7007, we have to find the factors of both numbers and list the highest common factor.
The factors of 6732 are 1, 2, 3, 4, 6, 9, 11, 12, 17, 18, 22, 33, 34, 36, 44, 51, 66, 68, 99, 102, 132, 153, 187, 198, 204, 306, 374, 396, 561, 612, 748, 1122, 1683, 2244, 3366, 6732
The factors of 7007 are 1, 7, 11, 13, 49, 77, 91, 143, 539, 637, 1001, 7007
The HCF of 6732,7007 is 11.
Lets's calculate GCF of 6732,7007
| 11 | 6732, 7007 |
| 612, 637 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 6732,7007 By Matching Biggest Common Factor Method
Now, list down the factors of 6732
:1,2,3,4,6,9,11,12,17,18,22,33,34,36,44,51,66,68,99,102,132,153,187,198,204,306,374,396,561,612,748,1122,1683,2244,3366,6732
Now, list down the factors of 7007
:1,7,11,13,49,77,91,143,539,637,1001,7007
Greatest Common Factor
We found the factors 6732,7007 . The biggest common factor number is the GCF number.
So the greatest common factor 6732,7007 is 11.
Lets's calculate LCM of 349,593
Given numbers has no common factors except 1. So, there LCM is their product i.e 206957
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/206957
Therefore, the GCF of Fractions 6732/349,7007/593 is 11/206957
Least Common Multiple of 349,593 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 349,593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(349,593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(349,593) x common factors =1 x 1 = 1
LCM(349,593) = ( 349 × 593 ) / 1
LCM(349,593) = 206957 / 1
LCM(349,593) = 206957
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FAQs on GCF of Fractions of 6732/349, 7007/593
1. What is the HCF of 6732,7007?
The HCF of 6732,7007 is 11
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 6732/349, 7007/593?
Answer: GCF of Numerators as per given numbers 6732/349, 7007/593 is
GCF of Numerators i.e. for 6732,7007 is 11
LCM of denominators i.e. for 349,593 is 206957.
Thus, GCF of Fractions is 11/206957.Finally, GCF of Fractions for 6732/349, 7007/593 is 11/206957.