GCF of 2062/784, 1384/750
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2062/784, 1384/750 i.e 2/294000 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2062/784, 1384/750.
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 2062/784,1384/750?
Given fractions are 2062/784,1384/750
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 2062/784,1384/750, numerators are 2062,1384
Denominators are 784,750
The GCF of 2062,1384 is 2 .
LCM of 784,750 is 294000.
The greatest common factor of 2062/784,1384/750 = [GCF of 2062,1384]/[LCM of 784,750]= 2/294000
Therefore, the GCF of 2062/784,1384/750 is 2/294000.
To find the highest common factor of 2062,1384, we have to find the factors of both numbers and list the highest common factor.
The factors of 2062 are 1, 2, 1031, 2062
The factors of 1384 are 1, 2, 4, 8, 173, 346, 692, 1384
The HCF of 2062,1384 is 2.
Lets's calculate GCF of 2062,1384
| 2 | 2062, 1384 |
| 1031, 692 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 2062,1384 By Matching Biggest Common Factor Method
Now, list down the factors of 2062
:1,2,1031,2062
Now, list down the factors of 1384
:1,2,4,8,173,346,692,1384
Greatest Common Factor
We found the factors 2062,1384 . The biggest common factor number is the GCF number.
So the greatest common factor 2062,1384 is 2.
Lets's calculate LCM of 784,750
| 2 | 784, 750 |
| 392, 375 |
∴ So the LCM of the given numbers is 2 x 392 x 375 = 294000
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/294000
Therefore, the GCF of Fractions 2062/784,1384/750 is 2/294000
Least Common Multiple of 784,750 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 784,750 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(784,750) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(784,750) x common factors =2 x 1 = 2
LCM(784,750) = ( 784 × 750 ) / 2
LCM(784,750) = 588000 / 2
LCM(784,750) = 294000
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FAQs on GCF of Fractions of 2062/784, 1384/750
1. What is the HCF of 2062,1384?
The HCF of 2062,1384 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 2062/784, 1384/750?
Answer: GCF of Numerators as per given numbers 2062/784, 1384/750 is
GCF of Numerators i.e. for 2062,1384 is 2
LCM of denominators i.e. for 784,750 is 294000.
Thus, GCF of Fractions is 2/294000.Finally, GCF of Fractions for 2062/784, 1384/750 is 2/294000.