Highest Common Factor of 737, 534, 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 737, 534, 729 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 737, 534, 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 737, 534, 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 737, 534, 729 is 1.
HCF(737, 534, 729) = 1
HCF of 737, 534, 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 737, 534, 729 is 1.
Highest Common Factor of 737,534,729 is 1
Step 1: Since 737 > 534, we apply the division lemma to 737 and 534, to get
737 = 534 x 1 + 203
Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 203 and 534, to get
534 = 203 x 2 + 128
Step 3: We consider the new divisor 203 and the new remainder 128, and apply the division lemma to get
203 = 128 x 1 + 75
We consider the new divisor 128 and the new remainder 75,and apply the division lemma to get
128 = 75 x 1 + 53
We consider the new divisor 75 and the new remainder 53,and apply the division lemma to get
75 = 53 x 1 + 22
We consider the new divisor 53 and the new remainder 22,and apply the division lemma to get
53 = 22 x 2 + 9
We consider the new divisor 22 and the new remainder 9,and apply the division lemma to get
22 = 9 x 2 + 4
We consider the new divisor 9 and the new remainder 4,and apply the division lemma to get
9 = 4 x 2 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 737 and 534 is 1
Notice that 1 = HCF(4,1) = HCF(9,4) = HCF(22,9) = HCF(53,22) = HCF(75,53) = HCF(128,75) = HCF(203,128) = HCF(534,203) = HCF(737,534) .
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 737, 534, 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 737, 534, 729?
Answer: HCF of 737, 534, 729 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 737, 534, 729 using Euclid's Algorithm?
Answer: For arbitrary numbers 737, 534, 729 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
