GCF of 7346/886, 6713/6864
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7346/886, 6713/6864 i.e 1/3040752 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7346/886, 6713/6864.
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 7346/886,6713/6864?
Given fractions are 7346/886,6713/6864
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 7346/886,6713/6864, numerators are 7346,6713
Denominators are 886,6864
The GCF of 7346,6713 is 1 .
LCM of 886,6864 is 3040752.
The greatest common factor of 7346/886,6713/6864 = [GCF of 7346,6713]/[LCM of 886,6864]= 1/3040752
Therefore, the GCF of 7346/886,6713/6864 is 1/3040752.
To find the highest common factor of 7346,6713, we have to find the factors of both numbers and list the highest common factor.
The factors of 7346 are 1, 2, 3673, 7346
The factors of 6713 are 1, 7, 49, 137, 959, 6713
The HCF of 7346,6713 is 1.
Lets's calculate GCF of 7346,6713
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7346,6713 By Matching Biggest Common Factor Method
Now, list down the factors of 7346
:1,2,3673,7346
Now, list down the factors of 6713
:1,7,49,137,959,6713
Greatest Common Factor
We found the factors 7346,6713 . The biggest common factor number is the GCF number.
So the greatest common factor 7346,6713 is 1.
Lets's calculate LCM of 886,6864
| 2 | 886, 6864 |
| 443, 3432 |
∴ So the LCM of the given numbers is 2 x 443 x 3432 = 3040752
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3040752
Therefore, the GCF of Fractions 7346/886,6713/6864 is 1/3040752
Least Common Multiple of 886,6864 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 886,6864 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,6864) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,6864) x common factors =2 x 1 = 2
LCM(886,6864) = ( 886 × 6864 ) / 2
LCM(886,6864) = 6081504 / 2
LCM(886,6864) = 3040752
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FAQs on GCF of Fractions of 7346/886, 6713/6864
1. What is the HCF of 7346,6713?
The HCF of 7346,6713 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 7346/886, 6713/6864?
Answer: GCF of Numerators as per given numbers 7346/886, 6713/6864 is
GCF of Numerators i.e. for 7346,6713 is 1
LCM of denominators i.e. for 886,6864 is 3040752.
Thus, GCF of Fractions is 1/3040752.Finally, GCF of Fractions for 7346/886, 6713/6864 is 1/3040752.