GCF of 7885/842, 1401/5208
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7885/842, 1401/5208 i.e 1/2192568 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7885/842, 1401/5208.
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 7885/842,1401/5208?
Given fractions are 7885/842,1401/5208
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 7885/842,1401/5208, numerators are 7885,1401
Denominators are 842,5208
The GCF of 7885,1401 is 1 .
LCM of 842,5208 is 2192568.
The greatest common factor of 7885/842,1401/5208 = [GCF of 7885,1401]/[LCM of 842,5208]= 1/2192568
Therefore, the GCF of 7885/842,1401/5208 is 1/2192568.
To find the highest common factor of 7885,1401, we have to find the factors of both numbers and list the highest common factor.
The factors of 7885 are 1, 5, 19, 83, 95, 415, 1577, 7885
The factors of 1401 are 1, 3, 467, 1401
The HCF of 7885,1401 is 1.
Lets's calculate GCF of 7885,1401
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7885,1401 By Matching Biggest Common Factor Method
Now, list down the factors of 7885
:1,5,19,83,95,415,1577,7885
Now, list down the factors of 1401
:1,3,467,1401
Greatest Common Factor
We found the factors 7885,1401 . The biggest common factor number is the GCF number.
So the greatest common factor 7885,1401 is 1.
Lets's calculate LCM of 842,5208
| 2 | 842, 5208 |
| 421, 2604 |
∴ So the LCM of the given numbers is 2 x 421 x 2604 = 2192568
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2192568
Therefore, the GCF of Fractions 7885/842,1401/5208 is 1/2192568
Least Common Multiple of 842,5208 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 842,5208 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,5208) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,5208) x common factors =2 x 1 = 2
LCM(842,5208) = ( 842 × 5208 ) / 2
LCM(842,5208) = 4385136 / 2
LCM(842,5208) = 2192568
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FAQs on GCF of Fractions of 7885/842, 1401/5208
1. What is the HCF of 7885,1401?
The HCF of 7885,1401 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 7885/842, 1401/5208?
Answer: GCF of Numerators as per given numbers 7885/842, 1401/5208 is
GCF of Numerators i.e. for 7885,1401 is 1
LCM of denominators i.e. for 842,5208 is 2192568.
Thus, GCF of Fractions is 1/2192568.Finally, GCF of Fractions for 7885/842, 1401/5208 is 1/2192568.