GCF of 1786/697, 7384/850
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1786/697, 7384/850 i.e 2/34850 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1786/697, 7384/850.
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 1786/697,7384/850?
Given fractions are 1786/697,7384/850
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 1786/697,7384/850, numerators are 1786,7384
Denominators are 697,850
The GCF of 1786,7384 is 2 .
LCM of 697,850 is 34850.
The greatest common factor of 1786/697,7384/850 = [GCF of 1786,7384]/[LCM of 697,850]= 2/34850
Therefore, the GCF of 1786/697,7384/850 is 2/34850.
To find the highest common factor of 1786,7384, we have to find the factors of both numbers and list the highest common factor.
The factors of 1786 are 1, 2, 19, 38, 47, 94, 893, 1786
The factors of 7384 are 1, 2, 4, 8, 13, 26, 52, 71, 104, 142, 284, 568, 923, 1846, 3692, 7384
The HCF of 1786,7384 is 2.
Lets's calculate GCF of 1786,7384
| 2 | 1786, 7384 |
| 893, 3692 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 1786,7384 By Matching Biggest Common Factor Method
Now, list down the factors of 1786
:1,2,19,38,47,94,893,1786
Now, list down the factors of 7384
:1,2,4,8,13,26,52,71,104,142,284,568,923,1846,3692,7384
Greatest Common Factor
We found the factors 1786,7384 . The biggest common factor number is the GCF number.
So the greatest common factor 1786,7384 is 2.
Lets's calculate LCM of 697,850
| 17 | 697, 850 |
| 41, 50 |
∴ So the LCM of the given numbers is 17 x 41 x 50 = 34850
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/34850
Therefore, the GCF of Fractions 1786/697,7384/850 is 2/34850
Least Common Multiple of 697,850 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 697,850 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(697,850) = 17
common factors(in case of two or more numbers have common factors) = 1
GCF(697,850) x common factors =17 x 1 = 17
LCM(697,850) = ( 697 × 850 ) / 17
LCM(697,850) = 592450 / 17
LCM(697,850) = 34850
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FAQs on GCF of Fractions of 1786/697, 7384/850
1. What is the HCF of 1786,7384?
The HCF of 1786,7384 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 1786/697, 7384/850?
Answer: GCF of Numerators as per given numbers 1786/697, 7384/850 is
GCF of Numerators i.e. for 1786,7384 is 2
LCM of denominators i.e. for 697,850 is 34850.
Thus, GCF of Fractions is 2/34850.Finally, GCF of Fractions for 1786/697, 7384/850 is 2/34850.