GCF of 2832/378, 1559/3460
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2832/378, 1559/3460 i.e 1/653940 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2832/378, 1559/3460.
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 2832/378,1559/3460?
Given fractions are 2832/378,1559/3460
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 2832/378,1559/3460, numerators are 2832,1559
Denominators are 378,3460
The GCF of 2832,1559 is 1 .
LCM of 378,3460 is 653940.
The greatest common factor of 2832/378,1559/3460 = [GCF of 2832,1559]/[LCM of 378,3460]= 1/653940
Therefore, the GCF of 2832/378,1559/3460 is 1/653940.
To find the highest common factor of 2832,1559, we have to find the factors of both numbers and list the highest common factor.
The factors of 2832 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 59, 118, 177, 236, 354, 472, 708, 944, 1416, 2832
The factors of 1559 are 1, 1559
The HCF of 2832,1559 is 1.
Lets's calculate GCF of 2832,1559
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2832,1559 By Matching Biggest Common Factor Method
Now, list down the factors of 2832
:1,2,3,4,6,8,12,16,24,48,59,118,177,236,354,472,708,944,1416,2832
Now, list down the factors of 1559
:1,1559
Greatest Common Factor
We found the factors 2832,1559 . The biggest common factor number is the GCF number.
So the greatest common factor 2832,1559 is 1.
Lets's calculate LCM of 378,3460
| 2 | 378, 3460 |
| 189, 1730 |
∴ So the LCM of the given numbers is 2 x 189 x 1730 = 653940
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/653940
Therefore, the GCF of Fractions 2832/378,1559/3460 is 1/653940
Least Common Multiple of 378,3460 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 378,3460 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(378,3460) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(378,3460) x common factors =2 x 1 = 2
LCM(378,3460) = ( 378 × 3460 ) / 2
LCM(378,3460) = 1307880 / 2
LCM(378,3460) = 653940
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FAQs on GCF of Fractions of 2832/378, 1559/3460
1. What is the HCF of 2832,1559?
The HCF of 2832,1559 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 2832/378, 1559/3460?
Answer: GCF of Numerators as per given numbers 2832/378, 1559/3460 is
GCF of Numerators i.e. for 2832,1559 is 1
LCM of denominators i.e. for 378,3460 is 653940.
Thus, GCF of Fractions is 1/653940.Finally, GCF of Fractions for 2832/378, 1559/3460 is 1/653940.