GCF of 8400/278, 1588/603
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8400/278, 1588/603 i.e 4/167634 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8400/278, 1588/603.
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 8400/278,1588/603?
Given fractions are 8400/278,1588/603
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 8400/278,1588/603, numerators are 8400,1588
Denominators are 278,603
The GCF of 8400,1588 is 4 .
LCM of 278,603 is 167634.
The greatest common factor of 8400/278,1588/603 = [GCF of 8400,1588]/[LCM of 278,603]= 4/167634
Therefore, the GCF of 8400/278,1588/603 is 4/167634.
To find the highest common factor of 8400,1588, we have to find the factors of both numbers and list the highest common factor.
The factors of 8400 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 16, 20, 21, 24, 25, 28, 30, 35, 40, 42, 48, 50, 56, 60, 70, 75, 80, 84, 100, 105, 112, 120, 140, 150, 168, 175, 200, 210, 240, 280, 300, 336, 350, 400, 420, 525, 560, 600, 700, 840, 1050, 1200, 1400, 1680, 2100, 2800, 4200, 8400
The factors of 1588 are 1, 2, 4, 397, 794, 1588
The HCF of 8400,1588 is 4.
Lets's calculate GCF of 8400,1588
| 2 | 8400, 1588 |
| 2 | 4200, 794 |
| 2100, 397 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 8400,1588 By Matching Biggest Common Factor Method
Now, list down the factors of 8400
:1,2,3,4,5,6,7,8,10,12,14,15,16,20,21,24,25,28,30,35,40,42,48,50,56,60,70,75,80,84,100,105,112,120,140,150,168,175,200,210,240,280,300,336,350,400,420,525,560,600,700,840,1050,1200,1400,1680,2100,2800,4200,8400
Now, list down the factors of 1588
:1,2,4,397,794,1588
Greatest Common Factor
We found the factors 8400,1588 . The biggest common factor number is the GCF number.
So the greatest common factor 8400,1588 is 4.
Lets's calculate LCM of 278,603
Given numbers has no common factors except 1. So, there LCM is their product i.e 167634
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/167634
Therefore, the GCF of Fractions 8400/278,1588/603 is 4/167634
Least Common Multiple of 278,603 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 278,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(278,603) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(278,603) x common factors =1 x 1 = 1
LCM(278,603) = ( 278 × 603 ) / 1
LCM(278,603) = 167634 / 1
LCM(278,603) = 167634
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FAQs on GCF of Fractions of 8400/278, 1588/603
1. What is the HCF of 8400,1588?
The HCF of 8400,1588 is 4
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 8400/278, 1588/603?
Answer: GCF of Numerators as per given numbers 8400/278, 1588/603 is
GCF of Numerators i.e. for 8400,1588 is 4
LCM of denominators i.e. for 278,603 is 167634.
Thus, GCF of Fractions is 4/167634.Finally, GCF of Fractions for 8400/278, 1588/603 is 4/167634.