GCF of 780/899, 588/186, 643/257
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 780/899, 588/186, 643/257 i.e 1/1386258 easily. The following is the detailed procedure to determine the greatest common factor of fractions 780/899, 588/186, 643/257.
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 780/899,588/186,643/257?
Given fractions are 780/899,588/186,643/257
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 780/899,588/186,643/257, numerators are 780,588,643
Denominators are 899,186,257
The GCF of 780,588,643 is 1 .
LCM of 899,186,257 is 1386258.
The greatest common factor of 780/899,588/186,643/257 = [GCF of 780,588,643]/[LCM of 899,186,257]= 1/1386258
Therefore, the GCF of 780/899,588/186,643/257 is 1/1386258.
To find the highest common factor of 780,588,643, we have to find the factors of both numbers and list the highest common factor.
The factors of 780 are 1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780
The factors of 588 are 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588
The factors of 643 are 1, 643
The HCF of 780,588,643 is 1.
Lets's calculate GCF of 780,588,643
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 780,588,643 By Matching Biggest Common Factor Method
Now, list down the factors of 780
:1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780
Now, list down the factors of 588
:1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588
Now, list down the factors of 643
:1,643
Greatest Common Factor
We found the factors 780,588,643 . The biggest common factor number is the GCF number.
So the greatest common factor 780,588,643 is 1.
Lets's calculate LCM of 899,186,257
| 31 | 899, 186, 257 |
| 29, 6, 257 |
∴ So the LCM of the given numbers is 31 x 29 x 6 x 257 = 1386258
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1386258
Therefore, the GCF of Fractions 780/899,588/186,643/257 is 1/1386258
Least Common Multiple of 899,186,257 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 899,186,257 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(899,186,257) = 1
common factors(in case of two or more numbers have common factors) = 31
GCF(899,186,257) x common factors =1 x 31 = 31
LCM(899,186,257) = ( 899 × 186 × 257 ) / 31
LCM(899,186,257) = 42973998 / 31
LCM(899,186,257) = 1386258
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FAQs on GCF of Fractions of 780/899, 588/186, 643/257
1. What is the HCF of 780,588,643?
The HCF of 780,588,643 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 780/899, 588/186, 643/257?
Answer: GCF of Numerators as per given numbers 780/899, 588/186, 643/257 is
GCF of Numerators i.e. for 780,588,643 is 1
LCM of denominators i.e. for 899,186,257 is 1386258.
Thus, GCF of Fractions is 1/1386258.Finally, GCF of Fractions for 780/899, 588/186, 643/257 is 1/1386258.