GCF of 4893/874, 4480/1239
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4893/874, 4480/1239 i.e 7/1082886 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4893/874, 4480/1239.
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 4893/874,4480/1239?
Given fractions are 4893/874,4480/1239
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 4893/874,4480/1239, numerators are 4893,4480
Denominators are 874,1239
The GCF of 4893,4480 is 7 .
LCM of 874,1239 is 1082886.
The greatest common factor of 4893/874,4480/1239 = [GCF of 4893,4480]/[LCM of 874,1239]= 7/1082886
Therefore, the GCF of 4893/874,4480/1239 is 7/1082886.
To find the highest common factor of 4893,4480, we have to find the factors of both numbers and list the highest common factor.
The factors of 4893 are 1, 3, 7, 21, 233, 699, 1631, 4893
The factors of 4480 are 1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 32, 35, 40, 56, 64, 70, 80, 112, 128, 140, 160, 224, 280, 320, 448, 560, 640, 896, 1120, 2240, 4480
The HCF of 4893,4480 is 7.
Lets's calculate GCF of 4893,4480
| 7 | 4893, 4480 |
| 699, 640 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4893,4480 By Matching Biggest Common Factor Method
Now, list down the factors of 4893
:1,3,7,21,233,699,1631,4893
Now, list down the factors of 4480
:1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480
Greatest Common Factor
We found the factors 4893,4480 . The biggest common factor number is the GCF number.
So the greatest common factor 4893,4480 is 7.
Lets's calculate LCM of 874,1239
Given numbers has no common factors except 1. So, there LCM is their product i.e 1082886
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/1082886
Therefore, the GCF of Fractions 4893/874,4480/1239 is 7/1082886
Least Common Multiple of 874,1239 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 874,1239 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(874,1239) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(874,1239) x common factors =1 x 1 = 1
LCM(874,1239) = ( 874 × 1239 ) / 1
LCM(874,1239) = 1082886 / 1
LCM(874,1239) = 1082886
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FAQs on GCF of Fractions of 4893/874, 4480/1239
1. What is the HCF of 4893,4480?
The HCF of 4893,4480 is 7
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 4893/874, 4480/1239?
Answer: GCF of Numerators as per given numbers 4893/874, 4480/1239 is
GCF of Numerators i.e. for 4893,4480 is 7
LCM of denominators i.e. for 874,1239 is 1082886.
Thus, GCF of Fractions is 7/1082886.Finally, GCF of Fractions for 4893/874, 4480/1239 is 7/1082886.