Highest Common Factor of 539, 653 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 539, 653 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 539, 653 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 539, 653 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 539, 653 is 1.
HCF(539, 653) = 1
HCF of 539, 653 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 539, 653 is 1.
Highest Common Factor of 539,653 is 1
Step 1: Since 653 > 539, we apply the division lemma to 653 and 539, to get
653 = 539 x 1 + 114
Step 2: Since the reminder 539 ≠ 0, we apply division lemma to 114 and 539, to get
539 = 114 x 4 + 83
Step 3: We consider the new divisor 114 and the new remainder 83, and apply the division lemma to get
114 = 83 x 1 + 31
We consider the new divisor 83 and the new remainder 31,and apply the division lemma to get
83 = 31 x 2 + 21
We consider the new divisor 31 and the new remainder 21,and apply the division lemma to get
31 = 21 x 1 + 10
We consider the new divisor 21 and the new remainder 10,and apply the division lemma to get
21 = 10 x 2 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 539 and 653 is 1
Notice that 1 = HCF(10,1) = HCF(21,10) = HCF(31,21) = HCF(83,31) = HCF(114,83) = HCF(539,114) = HCF(653,539) .
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Frequently Asked Questions on HCF of 539, 653 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 539, 653?
Answer: HCF of 539, 653 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 539, 653 using Euclid's Algorithm?
Answer: For arbitrary numbers 539, 653 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.