GCF of 6721/222, 7567/8413
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6721/222, 7567/8413 i.e 47/1867686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6721/222, 7567/8413.
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 6721/222,7567/8413?
Given fractions are 6721/222,7567/8413
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 6721/222,7567/8413, numerators are 6721,7567
Denominators are 222,8413
The GCF of 6721,7567 is 47 .
LCM of 222,8413 is 1867686.
The greatest common factor of 6721/222,7567/8413 = [GCF of 6721,7567]/[LCM of 222,8413]= 47/1867686
Therefore, the GCF of 6721/222,7567/8413 is 47/1867686.
To find the highest common factor of 6721,7567, we have to find the factors of both numbers and list the highest common factor.
The factors of 6721 are 1, 11, 13, 47, 143, 517, 611, 6721
The factors of 7567 are 1, 7, 23, 47, 161, 329, 1081, 7567
The HCF of 6721,7567 is 47.
Lets's calculate GCF of 6721,7567
| 47 | 6721, 7567 |
| 143, 161 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 6721,7567 By Matching Biggest Common Factor Method
Now, list down the factors of 6721
:1,11,13,47,143,517,611,6721
Now, list down the factors of 7567
:1,7,23,47,161,329,1081,7567
Greatest Common Factor
We found the factors 6721,7567 . The biggest common factor number is the GCF number.
So the greatest common factor 6721,7567 is 47.
Lets's calculate LCM of 222,8413
Given numbers has no common factors except 1. So, there LCM is their product i.e 1867686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/1867686
Therefore, the GCF of Fractions 6721/222,7567/8413 is 47/1867686
Least Common Multiple of 222,8413 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 222,8413 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(222,8413) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(222,8413) x common factors =1 x 1 = 1
LCM(222,8413) = ( 222 × 8413 ) / 1
LCM(222,8413) = 1867686 / 1
LCM(222,8413) = 1867686
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FAQs on GCF of Fractions of 6721/222, 7567/8413
1. What is the HCF of 6721,7567?
The HCF of 6721,7567 is 47
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 6721/222, 7567/8413?
Answer: GCF of Numerators as per given numbers 6721/222, 7567/8413 is
GCF of Numerators i.e. for 6721,7567 is 47
LCM of denominators i.e. for 222,8413 is 1867686.
Thus, GCF of Fractions is 47/1867686.Finally, GCF of Fractions for 6721/222, 7567/8413 is 47/1867686.