GCF of 2700/824, 1897/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2700/824, 1897/304 i.e 1/31312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2700/824, 1897/304.
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 2700/824,1897/304?
Given fractions are 2700/824,1897/304
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 2700/824,1897/304, numerators are 2700,1897
Denominators are 824,304
The GCF of 2700,1897 is 1 .
LCM of 824,304 is 31312.
The greatest common factor of 2700/824,1897/304 = [GCF of 2700,1897]/[LCM of 824,304]= 1/31312
Therefore, the GCF of 2700/824,1897/304 is 1/31312.
To find the highest common factor of 2700,1897, we have to find the factors of both numbers and list the highest common factor.
The factors of 2700 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 27, 30, 36, 45, 50, 54, 60, 75, 90, 100, 108, 135, 150, 180, 225, 270, 300, 450, 540, 675, 900, 1350, 2700
The factors of 1897 are 1, 7, 271, 1897
The HCF of 2700,1897 is 1.
Lets's calculate GCF of 2700,1897
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2700,1897 By Matching Biggest Common Factor Method
Now, list down the factors of 2700
:1,2,3,4,5,6,9,10,12,15,18,20,25,27,30,36,45,50,54,60,75,90,100,108,135,150,180,225,270,300,450,540,675,900,1350,2700
Now, list down the factors of 1897
:1,7,271,1897
Greatest Common Factor
We found the factors 2700,1897 . The biggest common factor number is the GCF number.
So the greatest common factor 2700,1897 is 1.
Lets's calculate LCM of 824,304
| 2 | 824, 304 |
| 2 | 412, 152 |
| 2 | 206, 76 |
| 103, 38 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 103 x 38 = 31312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/31312
Therefore, the GCF of Fractions 2700/824,1897/304 is 1/31312
Least Common Multiple of 824,304 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 824,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(824,304) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(824,304) x common factors =8 x 1 = 8
LCM(824,304) = ( 824 × 304 ) / 8
LCM(824,304) = 250496 / 8
LCM(824,304) = 31312
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FAQs on GCF of Fractions of 2700/824, 1897/304
1. What is the HCF of 2700,1897?
The HCF of 2700,1897 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 2700/824, 1897/304?
Answer: GCF of Numerators as per given numbers 2700/824, 1897/304 is
GCF of Numerators i.e. for 2700,1897 is 1
LCM of denominators i.e. for 824,304 is 31312.
Thus, GCF of Fractions is 1/31312.Finally, GCF of Fractions for 2700/824, 1897/304 is 1/31312.