GCF of 4238/799, 9100/8942
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4238/799, 9100/8942 i.e 26/420274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4238/799, 9100/8942.
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 4238/799,9100/8942?
Given fractions are 4238/799,9100/8942
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 4238/799,9100/8942, numerators are 4238,9100
Denominators are 799,8942
The GCF of 4238,9100 is 26 .
LCM of 799,8942 is 420274.
The greatest common factor of 4238/799,9100/8942 = [GCF of 4238,9100]/[LCM of 799,8942]= 26/420274
Therefore, the GCF of 4238/799,9100/8942 is 26/420274.
To find the highest common factor of 4238,9100, we have to find the factors of both numbers and list the highest common factor.
The factors of 4238 are 1, 2, 13, 26, 163, 326, 2119, 4238
The factors of 9100 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 25, 26, 28, 35, 50, 52, 65, 70, 91, 100, 130, 140, 175, 182, 260, 325, 350, 364, 455, 650, 700, 910, 1300, 1820, 2275, 4550, 9100
The HCF of 4238,9100 is 26.
Lets's calculate GCF of 4238,9100
| 2 | 4238, 9100 |
| 13 | 2119, 4550 |
| 163, 350 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Greatest Common Factor of 4238,9100 By Matching Biggest Common Factor Method
Now, list down the factors of 4238
:1,2,13,26,163,326,2119,4238
Now, list down the factors of 9100
:1,2,4,5,7,10,13,14,20,25,26,28,35,50,52,65,70,91,100,130,140,175,182,260,325,350,364,455,650,700,910,1300,1820,2275,4550,9100
Greatest Common Factor
We found the factors 4238,9100 . The biggest common factor number is the GCF number.
So the greatest common factor 4238,9100 is 26.
Lets's calculate LCM of 799,8942
| 17 | 799, 8942 |
| 47, 526 |
∴ So the LCM of the given numbers is 17 x 47 x 526 = 420274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/420274
Therefore, the GCF of Fractions 4238/799,9100/8942 is 26/420274
Least Common Multiple of 799,8942 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 799,8942 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(799,8942) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(799,8942) x common factors =17 x 1 = 17
LCM(799,8942) = ( 799 × 8942 ) / 17
LCM(799,8942) = 7144658 / 17
LCM(799,8942) = 420274
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4238/799, 9100/8942
1. What is the HCF of 4238,9100?
The HCF of 4238,9100 is 26
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 4238/799, 9100/8942?
Answer: GCF of Numerators as per given numbers 4238/799, 9100/8942 is
GCF of Numerators i.e. for 4238,9100 is 26
LCM of denominators i.e. for 799,8942 is 420274.
Thus, GCF of Fractions is 26/420274.Finally, GCF of Fractions for 4238/799, 9100/8942 is 26/420274.