Highest Common Factor of 929, 537 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 929, 537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 929, 537 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 929, 537 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 929, 537 is 1.
HCF(929, 537) = 1
HCF of 929, 537 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 929, 537 is 1.
Highest Common Factor of 929,537 is 1
Step 1: Since 929 > 537, we apply the division lemma to 929 and 537, to get
929 = 537 x 1 + 392
Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 392 and 537, to get
537 = 392 x 1 + 145
Step 3: We consider the new divisor 392 and the new remainder 145, and apply the division lemma to get
392 = 145 x 2 + 102
We consider the new divisor 145 and the new remainder 102,and apply the division lemma to get
145 = 102 x 1 + 43
We consider the new divisor 102 and the new remainder 43,and apply the division lemma to get
102 = 43 x 2 + 16
We consider the new divisor 43 and the new remainder 16,and apply the division lemma to get
43 = 16 x 2 + 11
We consider the new divisor 16 and the new remainder 11,and apply the division lemma to get
16 = 11 x 1 + 5
We consider the new divisor 11 and the new remainder 5,and apply the division lemma to get
11 = 5 x 2 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 929 and 537 is 1
Notice that 1 = HCF(5,1) = HCF(11,5) = HCF(16,11) = HCF(43,16) = HCF(102,43) = HCF(145,102) = HCF(392,145) = HCF(537,392) = HCF(929,537) .
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Frequently Asked Questions on HCF of 929, 537 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 929, 537?
Answer: HCF of 929, 537 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 929, 537 using Euclid's Algorithm?
Answer: For arbitrary numbers 929, 537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.