GCF of 2896/364, 5140/1762
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2896/364, 5140/1762 i.e 4/320684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2896/364, 5140/1762.
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 2896/364,5140/1762?
Given fractions are 2896/364,5140/1762
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 2896/364,5140/1762, numerators are 2896,5140
Denominators are 364,1762
The GCF of 2896,5140 is 4 .
LCM of 364,1762 is 320684.
The greatest common factor of 2896/364,5140/1762 = [GCF of 2896,5140]/[LCM of 364,1762]= 4/320684
Therefore, the GCF of 2896/364,5140/1762 is 4/320684.
To find the highest common factor of 2896,5140, we have to find the factors of both numbers and list the highest common factor.
The factors of 2896 are 1, 2, 4, 8, 16, 181, 362, 724, 1448, 2896
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The HCF of 2896,5140 is 4.
Lets's calculate GCF of 2896,5140
| 2 | 2896, 5140 |
| 2 | 1448, 2570 |
| 724, 1285 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 2896,5140 By Matching Biggest Common Factor Method
Now, list down the factors of 2896
:1,2,4,8,16,181,362,724,1448,2896
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Greatest Common Factor
We found the factors 2896,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 2896,5140 is 4.
Lets's calculate LCM of 364,1762
| 2 | 364, 1762 |
| 182, 881 |
∴ So the LCM of the given numbers is 2 x 182 x 881 = 320684
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/320684
Therefore, the GCF of Fractions 2896/364,5140/1762 is 4/320684
Least Common Multiple of 364,1762 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 364,1762 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(364,1762) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(364,1762) x common factors =2 x 1 = 2
LCM(364,1762) = ( 364 × 1762 ) / 2
LCM(364,1762) = 641368 / 2
LCM(364,1762) = 320684
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FAQs on GCF of Fractions of 2896/364, 5140/1762
1. What is the HCF of 2896,5140?
The HCF of 2896,5140 is 4
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 2896/364, 5140/1762?
Answer: GCF of Numerators as per given numbers 2896/364, 5140/1762 is
GCF of Numerators i.e. for 2896,5140 is 4
LCM of denominators i.e. for 364,1762 is 320684.
Thus, GCF of Fractions is 4/320684.Finally, GCF of Fractions for 2896/364, 5140/1762 is 4/320684.