Highest Common Factor of 769, 441, 729 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 769, 441, 729 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 769, 441, 729 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 769, 441, 729 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 769, 441, 729 is 1.
HCF(769, 441, 729) = 1
HCF of 769, 441, 729 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 769, 441, 729 is 1.
Highest Common Factor of 769,441,729 is 1
Step 1: Since 769 > 441, we apply the division lemma to 769 and 441, to get
769 = 441 x 1 + 328
Step 2: Since the reminder 441 ≠ 0, we apply division lemma to 328 and 441, to get
441 = 328 x 1 + 113
Step 3: We consider the new divisor 328 and the new remainder 113, and apply the division lemma to get
328 = 113 x 2 + 102
We consider the new divisor 113 and the new remainder 102,and apply the division lemma to get
113 = 102 x 1 + 11
We consider the new divisor 102 and the new remainder 11,and apply the division lemma to get
102 = 11 x 9 + 3
We consider the new divisor 11 and the new remainder 3,and apply the division lemma to get
11 = 3 x 3 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 769 and 441 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(11,3) = HCF(102,11) = HCF(113,102) = HCF(328,113) = HCF(441,328) = HCF(769,441) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 729 > 1, we apply the division lemma to 729 and 1, to get
729 = 1 x 729 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 729 is 1
Notice that 1 = HCF(729,1) .
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Frequently Asked Questions on HCF of 769, 441, 729 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 769, 441, 729?
Answer: HCF of 769, 441, 729 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 769, 441, 729 using Euclid's Algorithm?
Answer: For arbitrary numbers 769, 441, 729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.