GCF of 1260/839, 9758/4228
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1260/839, 9758/4228 i.e 14/3547292 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1260/839, 9758/4228.
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 1260/839,9758/4228?
Given fractions are 1260/839,9758/4228
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 1260/839,9758/4228, numerators are 1260,9758
Denominators are 839,4228
The GCF of 1260,9758 is 14 .
LCM of 839,4228 is 3547292.
The greatest common factor of 1260/839,9758/4228 = [GCF of 1260,9758]/[LCM of 839,4228]= 14/3547292
Therefore, the GCF of 1260/839,9758/4228 is 14/3547292.
To find the highest common factor of 1260,9758, we have to find the factors of both numbers and list the highest common factor.
The factors of 1260 are 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
The factors of 9758 are 1, 2, 7, 14, 17, 34, 41, 82, 119, 238, 287, 574, 697, 1394, 4879, 9758
The HCF of 1260,9758 is 14.
Lets's calculate GCF of 1260,9758
| 2 | 1260, 9758 |
| 7 | 630, 4879 |
| 90, 697 |
∴ So the GCF of the given numbers is 2 x 7 = 14
Greatest Common Factor of 1260,9758 By Matching Biggest Common Factor Method
Now, list down the factors of 1260
:1,2,3,4,5,6,7,9,10,12,14,15,18,20,21,28,30,35,36,42,45,60,63,70,84,90,105,126,140,180,210,252,315,420,630,1260
Now, list down the factors of 9758
:1,2,7,14,17,34,41,82,119,238,287,574,697,1394,4879,9758
Greatest Common Factor
We found the factors 1260,9758 . The biggest common factor number is the GCF number.
So the greatest common factor 1260,9758 is 14.
Lets's calculate LCM of 839,4228
Given numbers has no common factors except 1. So, there LCM is their product i.e 3547292
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/3547292
Therefore, the GCF of Fractions 1260/839,9758/4228 is 14/3547292
Least Common Multiple of 839,4228 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 839,4228 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(839,4228) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(839,4228) x common factors =1 x 1 = 1
LCM(839,4228) = ( 839 × 4228 ) / 1
LCM(839,4228) = 3547292 / 1
LCM(839,4228) = 3547292
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1260/839, 9758/4228
1. What is the HCF of 1260,9758?
The HCF of 1260,9758 is 14
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 1260/839, 9758/4228?
Answer: GCF of Numerators as per given numbers 1260/839, 9758/4228 is
GCF of Numerators i.e. for 1260,9758 is 14
LCM of denominators i.e. for 839,4228 is 3547292.
Thus, GCF of Fractions is 14/3547292.Finally, GCF of Fractions for 1260/839, 9758/4228 is 14/3547292.