GCF of 2480/975, 3504/8740
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2480/975, 3504/8740 i.e 16/1704300 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2480/975, 3504/8740.
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 2480/975,3504/8740?
Given fractions are 2480/975,3504/8740
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 2480/975,3504/8740, numerators are 2480,3504
Denominators are 975,8740
The GCF of 2480,3504 is 16 .
LCM of 975,8740 is 1704300.
The greatest common factor of 2480/975,3504/8740 = [GCF of 2480,3504]/[LCM of 975,8740]= 16/1704300
Therefore, the GCF of 2480/975,3504/8740 is 16/1704300.
To find the highest common factor of 2480,3504, we have to find the factors of both numbers and list the highest common factor.
The factors of 2480 are 1, 2, 4, 5, 8, 10, 16, 20, 31, 40, 62, 80, 124, 155, 248, 310, 496, 620, 1240, 2480
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The HCF of 2480,3504 is 16.
Lets's calculate GCF of 2480,3504
| 2 | 2480, 3504 |
| 2 | 1240, 1752 |
| 2 | 620, 876 |
| 2 | 310, 438 |
| 155, 219 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Greatest Common Factor of 2480,3504 By Matching Biggest Common Factor Method
Now, list down the factors of 2480
:1,2,4,5,8,10,16,20,31,40,62,80,124,155,248,310,496,620,1240,2480
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Greatest Common Factor
We found the factors 2480,3504 . The biggest common factor number is the GCF number.
So the greatest common factor 2480,3504 is 16.
Lets's calculate LCM of 975,8740
| 5 | 975, 8740 |
| 195, 1748 |
∴ So the LCM of the given numbers is 5 x 195 x 1748 = 1704300
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/1704300
Therefore, the GCF of Fractions 2480/975,3504/8740 is 16/1704300
Least Common Multiple of 975,8740 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 975,8740 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,8740) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(975,8740) x common factors =5 x 1 = 5
LCM(975,8740) = ( 975 × 8740 ) / 5
LCM(975,8740) = 8521500 / 5
LCM(975,8740) = 1704300
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 2480/975, 3504/8740
1. What is the HCF of 2480,3504?
The HCF of 2480,3504 is 16
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 2480/975, 3504/8740?
Answer: GCF of Numerators as per given numbers 2480/975, 3504/8740 is
GCF of Numerators i.e. for 2480,3504 is 16
LCM of denominators i.e. for 975,8740 is 1704300.
Thus, GCF of Fractions is 16/1704300.Finally, GCF of Fractions for 2480/975, 3504/8740 is 16/1704300.