GCF of 6739/867, 2243/7104
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6739/867, 2243/7104 i.e 1/2053056 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6739/867, 2243/7104.
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 6739/867,2243/7104?
Given fractions are 6739/867,2243/7104
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 6739/867,2243/7104, numerators are 6739,2243
Denominators are 867,7104
The GCF of 6739,2243 is 1 .
LCM of 867,7104 is 2053056.
The greatest common factor of 6739/867,2243/7104 = [GCF of 6739,2243]/[LCM of 867,7104]= 1/2053056
Therefore, the GCF of 6739/867,2243/7104 is 1/2053056.
To find the highest common factor of 6739,2243, we have to find the factors of both numbers and list the highest common factor.
The factors of 6739 are 1, 23, 293, 6739
The factors of 2243 are 1, 2243
The HCF of 6739,2243 is 1.
Lets's calculate GCF of 6739,2243
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6739,2243 By Matching Biggest Common Factor Method
Now, list down the factors of 6739
:1,23,293,6739
Now, list down the factors of 2243
:1,2243
Greatest Common Factor
We found the factors 6739,2243 . The biggest common factor number is the GCF number.
So the greatest common factor 6739,2243 is 1.
Lets's calculate LCM of 867,7104
| 3 | 867, 7104 |
| 289, 2368 |
∴ So the LCM of the given numbers is 3 x 289 x 2368 = 2053056
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2053056
Therefore, the GCF of Fractions 6739/867,2243/7104 is 1/2053056
Least Common Multiple of 867,7104 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 867,7104 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(867,7104) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(867,7104) x common factors =3 x 1 = 3
LCM(867,7104) = ( 867 × 7104 ) / 3
LCM(867,7104) = 6159168 / 3
LCM(867,7104) = 2053056
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FAQs on GCF of Fractions of 6739/867, 2243/7104
1. What is the HCF of 6739,2243?
The HCF of 6739,2243 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 6739/867, 2243/7104?
Answer: GCF of Numerators as per given numbers 6739/867, 2243/7104 is
GCF of Numerators i.e. for 6739,2243 is 1
LCM of denominators i.e. for 867,7104 is 2053056.
Thus, GCF of Fractions is 1/2053056.Finally, GCF of Fractions for 6739/867, 2243/7104 is 1/2053056.