GCF of 2342/700, 1799/9728
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2342/700, 1799/9728 i.e 1/1702400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2342/700, 1799/9728.
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 2342/700,1799/9728?
Given fractions are 2342/700,1799/9728
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 2342/700,1799/9728, numerators are 2342,1799
Denominators are 700,9728
The GCF of 2342,1799 is 1 .
LCM of 700,9728 is 1702400.
The greatest common factor of 2342/700,1799/9728 = [GCF of 2342,1799]/[LCM of 700,9728]= 1/1702400
Therefore, the GCF of 2342/700,1799/9728 is 1/1702400.
To find the highest common factor of 2342,1799, we have to find the factors of both numbers and list the highest common factor.
The factors of 2342 are 1, 2, 1171, 2342
The factors of 1799 are 1, 7, 257, 1799
The HCF of 2342,1799 is 1.
Lets's calculate GCF of 2342,1799
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2342,1799 By Matching Biggest Common Factor Method
Now, list down the factors of 2342
:1,2,1171,2342
Now, list down the factors of 1799
:1,7,257,1799
Greatest Common Factor
We found the factors 2342,1799 . The biggest common factor number is the GCF number.
So the greatest common factor 2342,1799 is 1.
Lets's calculate LCM of 700,9728
| 2 | 700, 9728 |
| 2 | 350, 4864 |
| 175, 2432 |
∴ So the LCM of the given numbers is 2 x 2 x 175 x 2432 = 1702400
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1702400
Therefore, the GCF of Fractions 2342/700,1799/9728 is 1/1702400
Least Common Multiple of 700,9728 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 700,9728 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(700,9728) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(700,9728) x common factors =4 x 1 = 4
LCM(700,9728) = ( 700 × 9728 ) / 4
LCM(700,9728) = 6809600 / 4
LCM(700,9728) = 1702400
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FAQs on GCF of Fractions of 2342/700, 1799/9728
1. What is the HCF of 2342,1799?
The HCF of 2342,1799 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 2342/700, 1799/9728?
Answer: GCF of Numerators as per given numbers 2342/700, 1799/9728 is
GCF of Numerators i.e. for 2342,1799 is 1
LCM of denominators i.e. for 700,9728 is 1702400.
Thus, GCF of Fractions is 1/1702400.Finally, GCF of Fractions for 2342/700, 1799/9728 is 1/1702400.