GCF of 3431/434, 7990/1504
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3431/434, 7990/1504 i.e 47/326368 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3431/434, 7990/1504.
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 3431/434,7990/1504?
Given fractions are 3431/434,7990/1504
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 3431/434,7990/1504, numerators are 3431,7990
Denominators are 434,1504
The GCF of 3431,7990 is 47 .
LCM of 434,1504 is 326368.
The greatest common factor of 3431/434,7990/1504 = [GCF of 3431,7990]/[LCM of 434,1504]= 47/326368
Therefore, the GCF of 3431/434,7990/1504 is 47/326368.
To find the highest common factor of 3431,7990, we have to find the factors of both numbers and list the highest common factor.
The factors of 3431 are 1, 47, 73, 3431
The factors of 7990 are 1, 2, 5, 10, 17, 34, 47, 85, 94, 170, 235, 470, 799, 1598, 3995, 7990
The HCF of 3431,7990 is 47.
Lets's calculate GCF of 3431,7990
| 47 | 3431, 7990 |
| 73, 170 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 3431,7990 By Matching Biggest Common Factor Method
Now, list down the factors of 3431
:1,47,73,3431
Now, list down the factors of 7990
:1,2,5,10,17,34,47,85,94,170,235,470,799,1598,3995,7990
Greatest Common Factor
We found the factors 3431,7990 . The biggest common factor number is the GCF number.
So the greatest common factor 3431,7990 is 47.
Lets's calculate LCM of 434,1504
| 2 | 434, 1504 |
| 217, 752 |
∴ So the LCM of the given numbers is 2 x 217 x 752 = 326368
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/326368
Therefore, the GCF of Fractions 3431/434,7990/1504 is 47/326368
Least Common Multiple of 434,1504 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 434,1504 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(434,1504) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(434,1504) x common factors =2 x 1 = 2
LCM(434,1504) = ( 434 × 1504 ) / 2
LCM(434,1504) = 652736 / 2
LCM(434,1504) = 326368
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FAQs on GCF of Fractions of 3431/434, 7990/1504
1. What is the HCF of 3431,7990?
The HCF of 3431,7990 is 47
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 3431/434, 7990/1504?
Answer: GCF of Numerators as per given numbers 3431/434, 7990/1504 is
GCF of Numerators i.e. for 3431,7990 is 47
LCM of denominators i.e. for 434,1504 is 326368.
Thus, GCF of Fractions is 47/326368.Finally, GCF of Fractions for 3431/434, 7990/1504 is 47/326368.