GCF of 783/84, 584/8277
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 783/84, 584/8277 i.e 1/231756 easily. The following is the detailed procedure to determine the greatest common factor of fractions 783/84, 584/8277.
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 783/84,584/8277?
Given fractions are 783/84,584/8277
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 783/84,584/8277, numerators are 783,584
Denominators are 84,8277
The GCF of 783,584 is 1 .
LCM of 84,8277 is 231756.
The greatest common factor of 783/84,584/8277 = [GCF of 783,584]/[LCM of 84,8277]= 1/231756
Therefore, the GCF of 783/84,584/8277 is 1/231756.
To find the highest common factor of 783,584, we have to find the factors of both numbers and list the highest common factor.
The factors of 783 are 1, 3, 9, 27, 29, 87, 261, 783
The factors of 584 are 1, 2, 4, 8, 73, 146, 292, 584
The HCF of 783,584 is 1.
Lets's calculate GCF of 783,584
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 783,584 By Matching Biggest Common Factor Method
Now, list down the factors of 783
:1,3,9,27,29,87,261,783
Now, list down the factors of 584
:1,2,4,8,73,146,292,584
Greatest Common Factor
We found the factors 783,584 . The biggest common factor number is the GCF number.
So the greatest common factor 783,584 is 1.
Lets's calculate LCM of 84,8277
| 3 | 84, 8277 |
| 28, 2759 |
∴ So the LCM of the given numbers is 3 x 28 x 2759 = 231756
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/231756
Therefore, the GCF of Fractions 783/84,584/8277 is 1/231756
Least Common Multiple of 84,8277 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 84,8277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(84,8277) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(84,8277) x common factors =3 x 1 = 3
LCM(84,8277) = ( 84 × 8277 ) / 3
LCM(84,8277) = 695268 / 3
LCM(84,8277) = 231756
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FAQs on GCF of Fractions of 783/84, 584/8277
1. What is the HCF of 783,584?
The HCF of 783,584 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 783/84, 584/8277?
Answer: GCF of Numerators as per given numbers 783/84, 584/8277 is
GCF of Numerators i.e. for 783,584 is 1
LCM of denominators i.e. for 84,8277 is 231756.
Thus, GCF of Fractions is 1/231756.Finally, GCF of Fractions for 783/84, 584/8277 is 1/231756.