GCF of 5754/870, 8413/3896
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5754/870, 8413/3896 i.e 1/1694760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5754/870, 8413/3896.
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 5754/870,8413/3896?
Given fractions are 5754/870,8413/3896
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 5754/870,8413/3896, numerators are 5754,8413
Denominators are 870,3896
The GCF of 5754,8413 is 1 .
LCM of 870,3896 is 1694760.
The greatest common factor of 5754/870,8413/3896 = [GCF of 5754,8413]/[LCM of 870,3896]= 1/1694760
Therefore, the GCF of 5754/870,8413/3896 is 1/1694760.
To find the highest common factor of 5754,8413, we have to find the factors of both numbers and list the highest common factor.
The factors of 5754 are 1, 2, 3, 6, 7, 14, 21, 42, 137, 274, 411, 822, 959, 1918, 2877, 5754
The factors of 8413 are 1, 47, 179, 8413
The HCF of 5754,8413 is 1.
Lets's calculate GCF of 5754,8413
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5754,8413 By Matching Biggest Common Factor Method
Now, list down the factors of 5754
:1,2,3,6,7,14,21,42,137,274,411,822,959,1918,2877,5754
Now, list down the factors of 8413
:1,47,179,8413
Greatest Common Factor
We found the factors 5754,8413 . The biggest common factor number is the GCF number.
So the greatest common factor 5754,8413 is 1.
Lets's calculate LCM of 870,3896
| 2 | 870, 3896 |
| 435, 1948 |
∴ So the LCM of the given numbers is 2 x 435 x 1948 = 1694760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1694760
Therefore, the GCF of Fractions 5754/870,8413/3896 is 1/1694760
Least Common Multiple of 870,3896 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 870,3896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(870,3896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(870,3896) x common factors =2 x 1 = 2
LCM(870,3896) = ( 870 × 3896 ) / 2
LCM(870,3896) = 3389520 / 2
LCM(870,3896) = 1694760
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FAQs on GCF of Fractions of 5754/870, 8413/3896
1. What is the HCF of 5754,8413?
The HCF of 5754,8413 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 5754/870, 8413/3896?
Answer: GCF of Numerators as per given numbers 5754/870, 8413/3896 is
GCF of Numerators i.e. for 5754,8413 is 1
LCM of denominators i.e. for 870,3896 is 1694760.
Thus, GCF of Fractions is 1/1694760.Finally, GCF of Fractions for 5754/870, 8413/3896 is 1/1694760.