GCF of 5897/783, 7792/8367
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5897/783, 7792/8367 i.e 1/2183787 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5897/783, 7792/8367.
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 5897/783,7792/8367?
Given fractions are 5897/783,7792/8367
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 5897/783,7792/8367, numerators are 5897,7792
Denominators are 783,8367
The GCF of 5897,7792 is 1 .
LCM of 783,8367 is 2183787.
The greatest common factor of 5897/783,7792/8367 = [GCF of 5897,7792]/[LCM of 783,8367]= 1/2183787
Therefore, the GCF of 5897/783,7792/8367 is 1/2183787.
To find the highest common factor of 5897,7792, we have to find the factors of both numbers and list the highest common factor.
The factors of 5897 are 1, 5897
The factors of 7792 are 1, 2, 4, 8, 16, 487, 974, 1948, 3896, 7792
The HCF of 5897,7792 is 1.
Lets's calculate GCF of 5897,7792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5897,7792 By Matching Biggest Common Factor Method
Now, list down the factors of 5897
:1,5897
Now, list down the factors of 7792
:1,2,4,8,16,487,974,1948,3896,7792
Greatest Common Factor
We found the factors 5897,7792 . The biggest common factor number is the GCF number.
So the greatest common factor 5897,7792 is 1.
Lets's calculate LCM of 783,8367
| 3 | 783, 8367 |
| 261, 2789 |
∴ So the LCM of the given numbers is 3 x 261 x 2789 = 2183787
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2183787
Therefore, the GCF of Fractions 5897/783,7792/8367 is 1/2183787
Least Common Multiple of 783,8367 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 783,8367 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(783,8367) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(783,8367) x common factors =3 x 1 = 3
LCM(783,8367) = ( 783 × 8367 ) / 3
LCM(783,8367) = 6551361 / 3
LCM(783,8367) = 2183787
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FAQs on GCF of Fractions of 5897/783, 7792/8367
1. What is the HCF of 5897,7792?
The HCF of 5897,7792 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 5897/783, 7792/8367?
Answer: GCF of Numerators as per given numbers 5897/783, 7792/8367 is
GCF of Numerators i.e. for 5897,7792 is 1
LCM of denominators i.e. for 783,8367 is 2183787.
Thus, GCF of Fractions is 1/2183787.Finally, GCF of Fractions for 5897/783, 7792/8367 is 1/2183787.