GCF of 6827/400, 5314/1395
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6827/400, 5314/1395 i.e 1/111600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6827/400, 5314/1395.
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 6827/400,5314/1395?
Given fractions are 6827/400,5314/1395
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 6827/400,5314/1395, numerators are 6827,5314
Denominators are 400,1395
The GCF of 6827,5314 is 1 .
LCM of 400,1395 is 111600.
The greatest common factor of 6827/400,5314/1395 = [GCF of 6827,5314]/[LCM of 400,1395]= 1/111600
Therefore, the GCF of 6827/400,5314/1395 is 1/111600.
To find the highest common factor of 6827,5314, we have to find the factors of both numbers and list the highest common factor.
The factors of 6827 are 1, 6827
The factors of 5314 are 1, 2, 2657, 5314
The HCF of 6827,5314 is 1.
Lets's calculate GCF of 6827,5314
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6827,5314 By Matching Biggest Common Factor Method
Now, list down the factors of 6827
:1,6827
Now, list down the factors of 5314
:1,2,2657,5314
Greatest Common Factor
We found the factors 6827,5314 . The biggest common factor number is the GCF number.
So the greatest common factor 6827,5314 is 1.
Lets's calculate LCM of 400,1395
| 5 | 400, 1395 |
| 80, 279 |
∴ So the LCM of the given numbers is 5 x 80 x 279 = 111600
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/111600
Therefore, the GCF of Fractions 6827/400,5314/1395 is 1/111600
Least Common Multiple of 400,1395 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 400,1395 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(400,1395) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(400,1395) x common factors =5 x 1 = 5
LCM(400,1395) = ( 400 × 1395 ) / 5
LCM(400,1395) = 558000 / 5
LCM(400,1395) = 111600
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FAQs on GCF of Fractions of 6827/400, 5314/1395
1. What is the HCF of 6827,5314?
The HCF of 6827,5314 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 6827/400, 5314/1395?
Answer: GCF of Numerators as per given numbers 6827/400, 5314/1395 is
GCF of Numerators i.e. for 6827,5314 is 1
LCM of denominators i.e. for 400,1395 is 111600.
Thus, GCF of Fractions is 1/111600.Finally, GCF of Fractions for 6827/400, 5314/1395 is 1/111600.