GCF of 2614/869, 4200/5401
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2614/869, 4200/5401 i.e 2/426679 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2614/869, 4200/5401.
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 2614/869,4200/5401?
Given fractions are 2614/869,4200/5401
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 2614/869,4200/5401, numerators are 2614,4200
Denominators are 869,5401
The GCF of 2614,4200 is 2 .
LCM of 869,5401 is 426679.
The greatest common factor of 2614/869,4200/5401 = [GCF of 2614,4200]/[LCM of 869,5401]= 2/426679
Therefore, the GCF of 2614/869,4200/5401 is 2/426679.
To find the highest common factor of 2614,4200, we have to find the factors of both numbers and list the highest common factor.
The factors of 2614 are 1, 2, 1307, 2614
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 HCF of 2614,4200 is 2.
Lets's calculate GCF of 2614,4200
| 2 | 2614, 4200 |
| 1307, 2100 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2614,4200 By Matching Biggest Common Factor Method
Now, list down the factors of 2614
:1,2,1307,2614
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
Greatest Common Factor
We found the factors 2614,4200 . The biggest common factor number is the GCF number.
So the greatest common factor 2614,4200 is 2.
Lets's calculate LCM of 869,5401
| 11 | 869, 5401 |
| 79, 491 |
∴ So the LCM of the given numbers is 11 x 79 x 491 = 426679
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/426679
Therefore, the GCF of Fractions 2614/869,4200/5401 is 2/426679
Least Common Multiple of 869,5401 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 869,5401 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,5401) = 11
common factors(in case of two or more numbers have common factors) = 1
GCF(869,5401) x common factors =11 x 1 = 11
LCM(869,5401) = ( 869 × 5401 ) / 11
LCM(869,5401) = 4693469 / 11
LCM(869,5401) = 426679
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FAQs on GCF of Fractions of 2614/869, 4200/5401
1. What is the HCF of 2614,4200?
The HCF of 2614,4200 is 2
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 2614/869, 4200/5401?
Answer: GCF of Numerators as per given numbers 2614/869, 4200/5401 is
GCF of Numerators i.e. for 2614,4200 is 2
LCM of denominators i.e. for 869,5401 is 426679.
Thus, GCF of Fractions is 2/426679.Finally, GCF of Fractions for 2614/869, 4200/5401 is 2/426679.