GCF of 3403/734, 8924/3100
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3403/734, 8924/3100 i.e 1/1137700 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3403/734, 8924/3100.
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 3403/734,8924/3100?
Given fractions are 3403/734,8924/3100
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 3403/734,8924/3100, numerators are 3403,8924
Denominators are 734,3100
The GCF of 3403,8924 is 1 .
LCM of 734,3100 is 1137700.
The greatest common factor of 3403/734,8924/3100 = [GCF of 3403,8924]/[LCM of 734,3100]= 1/1137700
Therefore, the GCF of 3403/734,8924/3100 is 1/1137700.
To find the highest common factor of 3403,8924, we have to find the factors of both numbers and list the highest common factor.
The factors of 3403 are 1, 41, 83, 3403
The factors of 8924 are 1, 2, 4, 23, 46, 92, 97, 194, 388, 2231, 4462, 8924
The HCF of 3403,8924 is 1.
Lets's calculate GCF of 3403,8924
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3403,8924 By Matching Biggest Common Factor Method
Now, list down the factors of 3403
:1,41,83,3403
Now, list down the factors of 8924
:1,2,4,23,46,92,97,194,388,2231,4462,8924
Greatest Common Factor
We found the factors 3403,8924 . The biggest common factor number is the GCF number.
So the greatest common factor 3403,8924 is 1.
Lets's calculate LCM of 734,3100
| 2 | 734, 3100 |
| 367, 1550 |
∴ So the LCM of the given numbers is 2 x 367 x 1550 = 1137700
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1137700
Therefore, the GCF of Fractions 3403/734,8924/3100 is 1/1137700
Least Common Multiple of 734,3100 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 734,3100 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(734,3100) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(734,3100) x common factors =2 x 1 = 2
LCM(734,3100) = ( 734 × 3100 ) / 2
LCM(734,3100) = 2275400 / 2
LCM(734,3100) = 1137700
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FAQs on GCF of Fractions of 3403/734, 8924/3100
1. What is the HCF of 3403,8924?
The HCF of 3403,8924 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 3403/734, 8924/3100?
Answer: GCF of Numerators as per given numbers 3403/734, 8924/3100 is
GCF of Numerators i.e. for 3403,8924 is 1
LCM of denominators i.e. for 734,3100 is 1137700.
Thus, GCF of Fractions is 1/1137700.Finally, GCF of Fractions for 3403/734, 8924/3100 is 1/1137700.