GCF of 4879/670, 5837/742
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4879/670, 5837/742 i.e 1/248570 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4879/670, 5837/742.
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 4879/670,5837/742?
Given fractions are 4879/670,5837/742
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 4879/670,5837/742, numerators are 4879,5837
Denominators are 670,742
The GCF of 4879,5837 is 1 .
LCM of 670,742 is 248570.
The greatest common factor of 4879/670,5837/742 = [GCF of 4879,5837]/[LCM of 670,742]= 1/248570
Therefore, the GCF of 4879/670,5837/742 is 1/248570.
To find the highest common factor of 4879,5837, we have to find the factors of both numbers and list the highest common factor.
The factors of 4879 are 1, 7, 17, 41, 119, 287, 697, 4879
The factors of 5837 are 1, 13, 449, 5837
The HCF of 4879,5837 is 1.
Lets's calculate GCF of 4879,5837
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4879,5837 By Matching Biggest Common Factor Method
Now, list down the factors of 4879
:1,7,17,41,119,287,697,4879
Now, list down the factors of 5837
:1,13,449,5837
Greatest Common Factor
We found the factors 4879,5837 . The biggest common factor number is the GCF number.
So the greatest common factor 4879,5837 is 1.
Lets's calculate LCM of 670,742
| 2 | 670, 742 |
| 335, 371 |
∴ So the LCM of the given numbers is 2 x 335 x 371 = 248570
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/248570
Therefore, the GCF of Fractions 4879/670,5837/742 is 1/248570
Least Common Multiple of 670,742 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 670,742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(670,742) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(670,742) x common factors =2 x 1 = 2
LCM(670,742) = ( 670 × 742 ) / 2
LCM(670,742) = 497140 / 2
LCM(670,742) = 248570
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4879/670, 5837/742
1. What is the HCF of 4879,5837?
The HCF of 4879,5837 is 1
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 4879/670, 5837/742?
Answer: GCF of Numerators as per given numbers 4879/670, 5837/742 is
GCF of Numerators i.e. for 4879,5837 is 1
LCM of denominators i.e. for 670,742 is 248570.
Thus, GCF of Fractions is 1/248570.Finally, GCF of Fractions for 4879/670, 5837/742 is 1/248570.