GCF of 1846/931, 3584/7595
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1846/931, 3584/7595 i.e 2/144305 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1846/931, 3584/7595.
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 1846/931,3584/7595?
Given fractions are 1846/931,3584/7595
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 1846/931,3584/7595, numerators are 1846,3584
Denominators are 931,7595
The GCF of 1846,3584 is 2 .
LCM of 931,7595 is 144305.
The greatest common factor of 1846/931,3584/7595 = [GCF of 1846,3584]/[LCM of 931,7595]= 2/144305
Therefore, the GCF of 1846/931,3584/7595 is 2/144305.
To find the highest common factor of 1846,3584, we have to find the factors of both numbers and list the highest common factor.
The factors of 1846 are 1, 2, 13, 26, 71, 142, 923, 1846
The factors of 3584 are 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 256, 448, 512, 896, 1792, 3584
The HCF of 1846,3584 is 2.
Lets's calculate GCF of 1846,3584
| 2 | 1846, 3584 |
| 923, 1792 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1846,3584 By Matching Biggest Common Factor Method
Now, list down the factors of 1846
:1,2,13,26,71,142,923,1846
Now, list down the factors of 3584
:1,2,4,7,8,14,16,28,32,56,64,112,128,224,256,448,512,896,1792,3584
Greatest Common Factor
We found the factors 1846,3584 . The biggest common factor number is the GCF number.
So the greatest common factor 1846,3584 is 2.
Lets's calculate LCM of 931,7595
| 7 | 931, 7595 |
| 7 | 133, 1085 |
| 19, 155 |
∴ So the LCM of the given numbers is 7 x 7 x 19 x 155 = 144305
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/144305
Therefore, the GCF of Fractions 1846/931,3584/7595 is 2/144305
Least Common Multiple of 931,7595 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 931,7595 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,7595) = 49
common factors(in case of two or more numbers have common factors) = 1
GCF(931,7595) x common factors =49 x 1 = 49
LCM(931,7595) = ( 931 × 7595 ) / 49
LCM(931,7595) = 7070945 / 49
LCM(931,7595) = 144305
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FAQs on GCF of Fractions of 1846/931, 3584/7595
1. What is the HCF of 1846,3584?
The HCF of 1846,3584 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 1846/931, 3584/7595?
Answer: GCF of Numerators as per given numbers 1846/931, 3584/7595 is
GCF of Numerators i.e. for 1846,3584 is 2
LCM of denominators i.e. for 931,7595 is 144305.
Thus, GCF of Fractions is 2/144305.Finally, GCF of Fractions for 1846/931, 3584/7595 is 2/144305.