GCF of 3443/574, 7904/8610
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3443/574, 7904/8610 i.e 1/8610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3443/574, 7904/8610.
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 3443/574,7904/8610?
Given fractions are 3443/574,7904/8610
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 3443/574,7904/8610, numerators are 3443,7904
Denominators are 574,8610
The GCF of 3443,7904 is 1 .
LCM of 574,8610 is 8610.
The greatest common factor of 3443/574,7904/8610 = [GCF of 3443,7904]/[LCM of 574,8610]= 1/8610
Therefore, the GCF of 3443/574,7904/8610 is 1/8610.
To find the highest common factor of 3443,7904, we have to find the factors of both numbers and list the highest common factor.
The factors of 3443 are 1, 11, 313, 3443
The factors of 7904 are 1, 2, 4, 8, 13, 16, 19, 26, 32, 38, 52, 76, 104, 152, 208, 247, 304, 416, 494, 608, 988, 1976, 3952, 7904
The HCF of 3443,7904 is 1.
Lets's calculate GCF of 3443,7904
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3443,7904 By Matching Biggest Common Factor Method
Now, list down the factors of 3443
:1,11,313,3443
Now, list down the factors of 7904
:1,2,4,8,13,16,19,26,32,38,52,76,104,152,208,247,304,416,494,608,988,1976,3952,7904
Greatest Common Factor
We found the factors 3443,7904 . The biggest common factor number is the GCF number.
So the greatest common factor 3443,7904 is 1.
Lets's calculate LCM of 574,8610
| 2 | 574, 8610 |
| 7 | 287, 4305 |
| 41 | 41, 615 |
| 1, 15 |
∴ So the LCM of the given numbers is 2 x 7 x 41 x 1 x 15 = 8610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8610
Therefore, the GCF of Fractions 3443/574,7904/8610 is 1/8610
Least Common Multiple of 574,8610 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 574,8610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(574,8610) = 574
common factors(in case of two or more numbers have common factors) = 1
GCF(574,8610) x common factors =574 x 1 = 574
LCM(574,8610) = ( 574 × 8610 ) / 574
LCM(574,8610) = 4942140 / 574
LCM(574,8610) = 8610
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FAQs on GCF of Fractions of 3443/574, 7904/8610
1. What is the HCF of 3443,7904?
The HCF of 3443,7904 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 3443/574, 7904/8610?
Answer: GCF of Numerators as per given numbers 3443/574, 7904/8610 is
GCF of Numerators i.e. for 3443,7904 is 1
LCM of denominators i.e. for 574,8610 is 8610.
Thus, GCF of Fractions is 1/8610.Finally, GCF of Fractions for 3443/574, 7904/8610 is 1/8610.