GCF of 4524/978, 2213/7490
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4524/978, 2213/7490 i.e 1/3662610 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4524/978, 2213/7490.
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 4524/978,2213/7490?
Given fractions are 4524/978,2213/7490
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 4524/978,2213/7490, numerators are 4524,2213
Denominators are 978,7490
The GCF of 4524,2213 is 1 .
LCM of 978,7490 is 3662610.
The greatest common factor of 4524/978,2213/7490 = [GCF of 4524,2213]/[LCM of 978,7490]= 1/3662610
Therefore, the GCF of 4524/978,2213/7490 is 1/3662610.
To find the highest common factor of 4524,2213, we have to find the factors of both numbers and list the highest common factor.
The factors of 4524 are 1, 2, 3, 4, 6, 12, 13, 26, 29, 39, 52, 58, 78, 87, 116, 156, 174, 348, 377, 754, 1131, 1508, 2262, 4524
The factors of 2213 are 1, 2213
The HCF of 4524,2213 is 1.
Lets's calculate GCF of 4524,2213
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4524,2213 By Matching Biggest Common Factor Method
Now, list down the factors of 4524
:1,2,3,4,6,12,13,26,29,39,52,58,78,87,116,156,174,348,377,754,1131,1508,2262,4524
Now, list down the factors of 2213
:1,2213
Greatest Common Factor
We found the factors 4524,2213 . The biggest common factor number is the GCF number.
So the greatest common factor 4524,2213 is 1.
Lets's calculate LCM of 978,7490
| 2 | 978, 7490 |
| 489, 3745 |
∴ So the LCM of the given numbers is 2 x 489 x 3745 = 3662610
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3662610
Therefore, the GCF of Fractions 4524/978,2213/7490 is 1/3662610
Least Common Multiple of 978,7490 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 978,7490 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(978,7490) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(978,7490) x common factors =2 x 1 = 2
LCM(978,7490) = ( 978 × 7490 ) / 2
LCM(978,7490) = 7325220 / 2
LCM(978,7490) = 3662610
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 4524/978, 2213/7490
1. What is the HCF of 4524,2213?
The HCF of 4524,2213 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 4524/978, 2213/7490?
Answer: GCF of Numerators as per given numbers 4524/978, 2213/7490 is
GCF of Numerators i.e. for 4524,2213 is 1
LCM of denominators i.e. for 978,7490 is 3662610.
Thus, GCF of Fractions is 1/3662610.Finally, GCF of Fractions for 4524/978, 2213/7490 is 1/3662610.