GCF of 4237/489, 2960/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4237/489, 2960/976 i.e 1/477264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4237/489, 2960/976.
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 4237/489,2960/976?
Given fractions are 4237/489,2960/976
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 4237/489,2960/976, numerators are 4237,2960
Denominators are 489,976
The GCF of 4237,2960 is 1 .
LCM of 489,976 is 477264.
The greatest common factor of 4237/489,2960/976 = [GCF of 4237,2960]/[LCM of 489,976]= 1/477264
Therefore, the GCF of 4237/489,2960/976 is 1/477264.
To find the highest common factor of 4237,2960, we have to find the factors of both numbers and list the highest common factor.
The factors of 4237 are 1, 19, 223, 4237
The factors of 2960 are 1, 2, 4, 5, 8, 10, 16, 20, 37, 40, 74, 80, 148, 185, 296, 370, 592, 740, 1480, 2960
The HCF of 4237,2960 is 1.
Lets's calculate GCF of 4237,2960
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4237,2960 By Matching Biggest Common Factor Method
Now, list down the factors of 4237
:1,19,223,4237
Now, list down the factors of 2960
:1,2,4,5,8,10,16,20,37,40,74,80,148,185,296,370,592,740,1480,2960
Greatest Common Factor
We found the factors 4237,2960 . The biggest common factor number is the GCF number.
So the greatest common factor 4237,2960 is 1.
Lets's calculate LCM of 489,976
Given numbers has no common factors except 1. So, there LCM is their product i.e 477264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477264
Therefore, the GCF of Fractions 4237/489,2960/976 is 1/477264
Least Common Multiple of 489,976 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 489,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(489,976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(489,976) x common factors =1 x 1 = 1
LCM(489,976) = ( 489 × 976 ) / 1
LCM(489,976) = 477264 / 1
LCM(489,976) = 477264
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FAQs on GCF of Fractions of 4237/489, 2960/976
1. What is the HCF of 4237,2960?
The HCF of 4237,2960 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 4237/489, 2960/976?
Answer: GCF of Numerators as per given numbers 4237/489, 2960/976 is
GCF of Numerators i.e. for 4237,2960 is 1
LCM of denominators i.e. for 489,976 is 477264.
Thus, GCF of Fractions is 1/477264.Finally, GCF of Fractions for 4237/489, 2960/976 is 1/477264.