GCF of 4200/956, 5870/5159
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4200/956, 5870/5159 i.e 10/4932004 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4200/956, 5870/5159.
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 4200/956,5870/5159?
Given fractions are 4200/956,5870/5159
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 4200/956,5870/5159, numerators are 4200,5870
Denominators are 956,5159
The GCF of 4200,5870 is 10 .
LCM of 956,5159 is 4932004.
The greatest common factor of 4200/956,5870/5159 = [GCF of 4200,5870]/[LCM of 956,5159]= 10/4932004
Therefore, the GCF of 4200/956,5870/5159 is 10/4932004.
To find the highest common factor of 4200,5870, we have to find the factors of both numbers and list the highest common factor.
The factors of 4200 are 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 25, 28, 30, 35, 40, 42, 50, 56, 60, 70, 75, 84, 100, 105, 120, 140, 150, 168, 175, 200, 210, 280, 300, 350, 420, 525, 600, 700, 840, 1050, 1400, 2100, 4200
The factors of 5870 are 1, 2, 5, 10, 587, 1174, 2935, 5870
The HCF of 4200,5870 is 10.
Lets's calculate GCF of 4200,5870
| 2 | 4200, 5870 |
| 5 | 2100, 2935 |
| 420, 587 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 4200,5870 By Matching Biggest Common Factor Method
Now, list down the factors of 4200
:1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,25,28,30,35,40,42,50,56,60,70,75,84,100,105,120,140,150,168,175,200,210,280,300,350,420,525,600,700,840,1050,1400,2100,4200
Now, list down the factors of 5870
:1,2,5,10,587,1174,2935,5870
Greatest Common Factor
We found the factors 4200,5870 . The biggest common factor number is the GCF number.
So the greatest common factor 4200,5870 is 10.
Lets's calculate LCM of 956,5159
Given numbers has no common factors except 1. So, there LCM is their product i.e 4932004
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/4932004
Therefore, the GCF of Fractions 4200/956,5870/5159 is 10/4932004
Least Common Multiple of 956,5159 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 956,5159 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(956,5159) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(956,5159) x common factors =1 x 1 = 1
LCM(956,5159) = ( 956 × 5159 ) / 1
LCM(956,5159) = 4932004 / 1
LCM(956,5159) = 4932004
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FAQs on GCF of Fractions of 4200/956, 5870/5159
1. What is the HCF of 4200,5870?
The HCF of 4200,5870 is 10
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 4200/956, 5870/5159?
Answer: GCF of Numerators as per given numbers 4200/956, 5870/5159 is
GCF of Numerators i.e. for 4200,5870 is 10
LCM of denominators i.e. for 956,5159 is 4932004.
Thus, GCF of Fractions is 10/4932004.Finally, GCF of Fractions for 4200/956, 5870/5159 is 10/4932004.