GCF of 1870/504, 4008/9448
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1870/504, 4008/9448 i.e 2/595224 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1870/504, 4008/9448.
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 1870/504,4008/9448?
Given fractions are 1870/504,4008/9448
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 1870/504,4008/9448, numerators are 1870,4008
Denominators are 504,9448
The GCF of 1870,4008 is 2 .
LCM of 504,9448 is 595224.
The greatest common factor of 1870/504,4008/9448 = [GCF of 1870,4008]/[LCM of 504,9448]= 2/595224
Therefore, the GCF of 1870/504,4008/9448 is 2/595224.
To find the highest common factor of 1870,4008, we have to find the factors of both numbers and list the highest common factor.
The factors of 1870 are 1, 2, 5, 10, 11, 17, 22, 34, 55, 85, 110, 170, 187, 374, 935, 1870
The factors of 4008 are 1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004, 4008
The HCF of 1870,4008 is 2.
Lets's calculate GCF of 1870,4008
| 2 | 1870, 4008 |
| 935, 2004 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1870,4008 By Matching Biggest Common Factor Method
Now, list down the factors of 1870
:1,2,5,10,11,17,22,34,55,85,110,170,187,374,935,1870
Now, list down the factors of 4008
:1,2,3,4,6,8,12,24,167,334,501,668,1002,1336,2004,4008
Greatest Common Factor
We found the factors 1870,4008 . The biggest common factor number is the GCF number.
So the greatest common factor 1870,4008 is 2.
Lets's calculate LCM of 504,9448
| 2 | 504, 9448 |
| 2 | 252, 4724 |
| 2 | 126, 2362 |
| 63, 1181 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 63 x 1181 = 595224
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/595224
Therefore, the GCF of Fractions 1870/504,4008/9448 is 2/595224
Least Common Multiple of 504,9448 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 504,9448 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(504,9448) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(504,9448) x common factors =8 x 1 = 8
LCM(504,9448) = ( 504 × 9448 ) / 8
LCM(504,9448) = 4761792 / 8
LCM(504,9448) = 595224
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 1870/504, 4008/9448
1. What is the HCF of 1870,4008?
The HCF of 1870,4008 is 2
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 1870/504, 4008/9448?
Answer: GCF of Numerators as per given numbers 1870/504, 4008/9448 is
GCF of Numerators i.e. for 1870,4008 is 2
LCM of denominators i.e. for 504,9448 is 595224.
Thus, GCF of Fractions is 2/595224.Finally, GCF of Fractions for 1870/504, 4008/9448 is 2/595224.