GCF of 2937/833, 3305/4576
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2937/833, 3305/4576 i.e 1/3811808 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2937/833, 3305/4576.
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 2937/833,3305/4576?
Given fractions are 2937/833,3305/4576
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 2937/833,3305/4576, numerators are 2937,3305
Denominators are 833,4576
The GCF of 2937,3305 is 1 .
LCM of 833,4576 is 3811808.
The greatest common factor of 2937/833,3305/4576 = [GCF of 2937,3305]/[LCM of 833,4576]= 1/3811808
Therefore, the GCF of 2937/833,3305/4576 is 1/3811808.
To find the highest common factor of 2937,3305, we have to find the factors of both numbers and list the highest common factor.
The factors of 2937 are 1, 3, 11, 33, 89, 267, 979, 2937
The factors of 3305 are 1, 5, 661, 3305
The HCF of 2937,3305 is 1.
Lets's calculate GCF of 2937,3305
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2937,3305 By Matching Biggest Common Factor Method
Now, list down the factors of 2937
:1,3,11,33,89,267,979,2937
Now, list down the factors of 3305
:1,5,661,3305
Greatest Common Factor
We found the factors 2937,3305 . The biggest common factor number is the GCF number.
So the greatest common factor 2937,3305 is 1.
Lets's calculate LCM of 833,4576
Given numbers has no common factors except 1. So, there LCM is their product i.e 3811808
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3811808
Therefore, the GCF of Fractions 2937/833,3305/4576 is 1/3811808
Least Common Multiple of 833,4576 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 833,4576 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(833,4576) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(833,4576) x common factors =1 x 1 = 1
LCM(833,4576) = ( 833 × 4576 ) / 1
LCM(833,4576) = 3811808 / 1
LCM(833,4576) = 3811808
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FAQs on GCF of Fractions of 2937/833, 3305/4576
1. What is the HCF of 2937,3305?
The HCF of 2937,3305 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 2937/833, 3305/4576?
Answer: GCF of Numerators as per given numbers 2937/833, 3305/4576 is
GCF of Numerators i.e. for 2937,3305 is 1
LCM of denominators i.e. for 833,4576 is 3811808.
Thus, GCF of Fractions is 1/3811808.Finally, GCF of Fractions for 2937/833, 3305/4576 is 1/3811808.