Highest Common Factor of 813, 61532 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 813, 61532 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 813, 61532 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 813, 61532 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 813, 61532 is 1.
HCF(813, 61532) = 1
HCF of 813, 61532 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 813, 61532 is 1.
Highest Common Factor of 813,61532 is 1
Step 1: Since 61532 > 813, we apply the division lemma to 61532 and 813, to get
61532 = 813 x 75 + 557
Step 2: Since the reminder 813 ≠ 0, we apply division lemma to 557 and 813, to get
813 = 557 x 1 + 256
Step 3: We consider the new divisor 557 and the new remainder 256, and apply the division lemma to get
557 = 256 x 2 + 45
We consider the new divisor 256 and the new remainder 45,and apply the division lemma to get
256 = 45 x 5 + 31
We consider the new divisor 45 and the new remainder 31,and apply the division lemma to get
45 = 31 x 1 + 14
We consider the new divisor 31 and the new remainder 14,and apply the division lemma to get
31 = 14 x 2 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 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 813 and 61532 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(31,14) = HCF(45,31) = HCF(256,45) = HCF(557,256) = HCF(813,557) = HCF(61532,813) .
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Frequently Asked Questions on HCF of 813, 61532 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 813, 61532?
Answer: HCF of 813, 61532 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 813, 61532 using Euclid's Algorithm?
Answer: For arbitrary numbers 813, 61532 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.