Highest Common Factor of 853, 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 853, 537 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 853, 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 853, 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 853, 537 is 1.
HCF(853, 537) = 1
HCF of 853, 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 853, 537 is 1.
Highest Common Factor of 853,537 is 1
Step 1: Since 853 > 537, we apply the division lemma to 853 and 537, to get
853 = 537 x 1 + 316
Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 316 and 537, to get
537 = 316 x 1 + 221
Step 3: We consider the new divisor 316 and the new remainder 221, and apply the division lemma to get
316 = 221 x 1 + 95
We consider the new divisor 221 and the new remainder 95,and apply the division lemma to get
221 = 95 x 2 + 31
We consider the new divisor 95 and the new remainder 31,and apply the division lemma to get
95 = 31 x 3 + 2
We consider the new divisor 31 and the new remainder 2,and apply the division lemma to get
31 = 2 x 15 + 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 853 and 537 is 1
Notice that 1 = HCF(2,1) = HCF(31,2) = HCF(95,31) = HCF(221,95) = HCF(316,221) = HCF(537,316) = HCF(853,537) .
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Frequently Asked Questions on HCF of 853, 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 853, 537?
Answer: HCF of 853, 537 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 853, 537 using Euclid's Algorithm?
Answer: For arbitrary numbers 853, 537 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.