Highest Common Factor of 729, 243, 904 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 729, 243, 904 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 729, 243, 904 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 729, 243, 904 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 729, 243, 904 is 1.
HCF(729, 243, 904) = 1
HCF of 729, 243, 904 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 729, 243, 904 is 1.
Highest Common Factor of 729,243,904 is 1
Step 1: Since 729 > 243, we apply the division lemma to 729 and 243, to get
729 = 243 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 243, the HCF of 729 and 243 is 243
Notice that 243 = HCF(729,243) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 904 > 243, we apply the division lemma to 904 and 243, to get
904 = 243 x 3 + 175
Step 2: Since the reminder 243 ≠ 0, we apply division lemma to 175 and 243, to get
243 = 175 x 1 + 68
Step 3: We consider the new divisor 175 and the new remainder 68, and apply the division lemma to get
175 = 68 x 2 + 39
We consider the new divisor 68 and the new remainder 39,and apply the division lemma to get
68 = 39 x 1 + 29
We consider the new divisor 39 and the new remainder 29,and apply the division lemma to get
39 = 29 x 1 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 243 and 904 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(39,29) = HCF(68,39) = HCF(175,68) = HCF(243,175) = HCF(904,243) .
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Frequently Asked Questions on HCF of 729, 243, 904 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 729, 243, 904?
Answer: HCF of 729, 243, 904 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 729, 243, 904 using Euclid's Algorithm?
Answer: For arbitrary numbers 729, 243, 904 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.