Highest Common Factor of 729, 56084 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, 56084 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 729, 56084 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, 56084 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, 56084 is 1.
HCF(729, 56084) = 1
HCF of 729, 56084 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, 56084 is 1.
Highest Common Factor of 729,56084 is 1
Step 1: Since 56084 > 729, we apply the division lemma to 56084 and 729, to get
56084 = 729 x 76 + 680
Step 2: Since the reminder 729 ≠ 0, we apply division lemma to 680 and 729, to get
729 = 680 x 1 + 49
Step 3: We consider the new divisor 680 and the new remainder 49, and apply the division lemma to get
680 = 49 x 13 + 43
We consider the new divisor 49 and the new remainder 43,and apply the division lemma to get
49 = 43 x 1 + 6
We consider the new divisor 43 and the new remainder 6,and apply the division lemma to get
43 = 6 x 7 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 729 and 56084 is 1
Notice that 1 = HCF(6,1) = HCF(43,6) = HCF(49,43) = HCF(680,49) = HCF(729,680) = HCF(56084,729) .
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Frequently Asked Questions on HCF of 729, 56084 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, 56084?
Answer: HCF of 729, 56084 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 729, 56084 using Euclid's Algorithm?
Answer: For arbitrary numbers 729, 56084 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.