GCF of 2898/735, 3397/3299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2898/735, 3397/3299 i.e 1/2424765 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2898/735, 3397/3299.
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 2898/735,3397/3299?
Given fractions are 2898/735,3397/3299
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 2898/735,3397/3299, numerators are 2898,3397
Denominators are 735,3299
The GCF of 2898,3397 is 1 .
LCM of 735,3299 is 2424765.
The greatest common factor of 2898/735,3397/3299 = [GCF of 2898,3397]/[LCM of 735,3299]= 1/2424765
Therefore, the GCF of 2898/735,3397/3299 is 1/2424765.
To find the highest common factor of 2898,3397, we have to find the factors of both numbers and list the highest common factor.
The factors of 2898 are 1, 2, 3, 6, 7, 9, 14, 18, 21, 23, 42, 46, 63, 69, 126, 138, 161, 207, 322, 414, 483, 966, 1449, 2898
The factors of 3397 are 1, 43, 79, 3397
The HCF of 2898,3397 is 1.
Lets's calculate GCF of 2898,3397
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2898,3397 By Matching Biggest Common Factor Method
Now, list down the factors of 2898
:1,2,3,6,7,9,14,18,21,23,42,46,63,69,126,138,161,207,322,414,483,966,1449,2898
Now, list down the factors of 3397
:1,43,79,3397
Greatest Common Factor
We found the factors 2898,3397 . The biggest common factor number is the GCF number.
So the greatest common factor 2898,3397 is 1.
Lets's calculate LCM of 735,3299
Given numbers has no common factors except 1. So, there LCM is their product i.e 2424765
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2424765
Therefore, the GCF of Fractions 2898/735,3397/3299 is 1/2424765
Least Common Multiple of 735,3299 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 735,3299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(735,3299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(735,3299) x common factors =1 x 1 = 1
LCM(735,3299) = ( 735 × 3299 ) / 1
LCM(735,3299) = 2424765 / 1
LCM(735,3299) = 2424765
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FAQs on GCF of Fractions of 2898/735, 3397/3299
1. What is the HCF of 2898,3397?
The HCF of 2898,3397 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 2898/735, 3397/3299?
Answer: GCF of Numerators as per given numbers 2898/735, 3397/3299 is
GCF of Numerators i.e. for 2898,3397 is 1
LCM of denominators i.e. for 735,3299 is 2424765.
Thus, GCF of Fractions is 1/2424765.Finally, GCF of Fractions for 2898/735, 3397/3299 is 1/2424765.