GCF of 3337/856, 2505/7596
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3337/856, 2505/7596 i.e 1/1625544 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3337/856, 2505/7596.
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 3337/856,2505/7596?
Given fractions are 3337/856,2505/7596
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 3337/856,2505/7596, numerators are 3337,2505
Denominators are 856,7596
The GCF of 3337,2505 is 1 .
LCM of 856,7596 is 1625544.
The greatest common factor of 3337/856,2505/7596 = [GCF of 3337,2505]/[LCM of 856,7596]= 1/1625544
Therefore, the GCF of 3337/856,2505/7596 is 1/1625544.
To find the highest common factor of 3337,2505, we have to find the factors of both numbers and list the highest common factor.
The factors of 3337 are 1, 47, 71, 3337
The factors of 2505 are 1, 3, 5, 15, 167, 501, 835, 2505
The HCF of 3337,2505 is 1.
Lets's calculate GCF of 3337,2505
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3337,2505 By Matching Biggest Common Factor Method
Now, list down the factors of 3337
:1,47,71,3337
Now, list down the factors of 2505
:1,3,5,15,167,501,835,2505
Greatest Common Factor
We found the factors 3337,2505 . The biggest common factor number is the GCF number.
So the greatest common factor 3337,2505 is 1.
Lets's calculate LCM of 856,7596
| 2 | 856, 7596 |
| 2 | 428, 3798 |
| 214, 1899 |
∴ So the LCM of the given numbers is 2 x 2 x 214 x 1899 = 1625544
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1625544
Therefore, the GCF of Fractions 3337/856,2505/7596 is 1/1625544
Least Common Multiple of 856,7596 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 856,7596 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(856,7596) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(856,7596) x common factors =4 x 1 = 4
LCM(856,7596) = ( 856 × 7596 ) / 4
LCM(856,7596) = 6502176 / 4
LCM(856,7596) = 1625544
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FAQs on GCF of Fractions of 3337/856, 2505/7596
1. What is the HCF of 3337,2505?
The HCF of 3337,2505 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 3337/856, 2505/7596?
Answer: GCF of Numerators as per given numbers 3337/856, 2505/7596 is
GCF of Numerators i.e. for 3337,2505 is 1
LCM of denominators i.e. for 856,7596 is 1625544.
Thus, GCF of Fractions is 1/1625544.Finally, GCF of Fractions for 3337/856, 2505/7596 is 1/1625544.