GCF of 2345/598, 3325/9111
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2345/598, 3325/9111 i.e 35/5448378 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2345/598, 3325/9111.
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 2345/598,3325/9111?
Given fractions are 2345/598,3325/9111
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 2345/598,3325/9111, numerators are 2345,3325
Denominators are 598,9111
The GCF of 2345,3325 is 35 .
LCM of 598,9111 is 5448378.
The greatest common factor of 2345/598,3325/9111 = [GCF of 2345,3325]/[LCM of 598,9111]= 35/5448378
Therefore, the GCF of 2345/598,3325/9111 is 35/5448378.
To find the highest common factor of 2345,3325, we have to find the factors of both numbers and list the highest common factor.
The factors of 2345 are 1, 5, 7, 35, 67, 335, 469, 2345
The factors of 3325 are 1, 5, 7, 19, 25, 35, 95, 133, 175, 475, 665, 3325
The HCF of 2345,3325 is 35.
Lets's calculate GCF of 2345,3325
| 5 | 2345, 3325 |
| 7 | 469, 665 |
| 67, 95 |
∴ So the GCF of the given numbers is 5 x 7 = 35
Greatest Common Factor of 2345,3325 By Matching Biggest Common Factor Method
Now, list down the factors of 2345
:1,5,7,35,67,335,469,2345
Now, list down the factors of 3325
:1,5,7,19,25,35,95,133,175,475,665,3325
Greatest Common Factor
We found the factors 2345,3325 . The biggest common factor number is the GCF number.
So the greatest common factor 2345,3325 is 35.
Lets's calculate LCM of 598,9111
Given numbers has no common factors except 1. So, there LCM is their product i.e 5448378
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 35/5448378
Therefore, the GCF of Fractions 2345/598,3325/9111 is 35/5448378
Least Common Multiple of 598,9111 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 598,9111 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(598,9111) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(598,9111) x common factors =1 x 1 = 1
LCM(598,9111) = ( 598 × 9111 ) / 1
LCM(598,9111) = 5448378 / 1
LCM(598,9111) = 5448378
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FAQs on GCF of Fractions of 2345/598, 3325/9111
1. What is the HCF of 2345,3325?
The HCF of 2345,3325 is 35
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 2345/598, 3325/9111?
Answer: GCF of Numerators as per given numbers 2345/598, 3325/9111 is
GCF of Numerators i.e. for 2345,3325 is 35
LCM of denominators i.e. for 598,9111 is 5448378.
Thus, GCF of Fractions is 35/5448378.Finally, GCF of Fractions for 2345/598, 3325/9111 is 35/5448378.