Highest Common Factor of 7813, 2062 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 7813, 2062 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7813, 2062 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 7813, 2062 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 7813, 2062 is 1.
HCF(7813, 2062) = 1
HCF of 7813, 2062 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7813, 2062 is 1.
Highest Common Factor of 7813,2062 is 1
Step 1: Since 7813 > 2062, we apply the division lemma to 7813 and 2062, to get
7813 = 2062 x 3 + 1627
Step 2: Since the reminder 2062 ≠ 0, we apply division lemma to 1627 and 2062, to get
2062 = 1627 x 1 + 435
Step 3: We consider the new divisor 1627 and the new remainder 435, and apply the division lemma to get
1627 = 435 x 3 + 322
We consider the new divisor 435 and the new remainder 322,and apply the division lemma to get
435 = 322 x 1 + 113
We consider the new divisor 322 and the new remainder 113,and apply the division lemma to get
322 = 113 x 2 + 96
We consider the new divisor 113 and the new remainder 96,and apply the division lemma to get
113 = 96 x 1 + 17
We consider the new divisor 96 and the new remainder 17,and apply the division lemma to get
96 = 17 x 5 + 11
We consider the new divisor 17 and the new remainder 11,and apply the division lemma to get
17 = 11 x 1 + 6
We consider the new divisor 11 and the new remainder 6,and apply the division lemma to get
11 = 6 x 1 + 5
We consider the new divisor 6 and the new remainder 5,and apply the division lemma to get
6 = 5 x 1 + 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 7813 and 2062 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(11,6) = HCF(17,11) = HCF(96,17) = HCF(113,96) = HCF(322,113) = HCF(435,322) = HCF(1627,435) = HCF(2062,1627) = HCF(7813,2062) .
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Frequently Asked Questions on HCF of 7813, 2062 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 7813, 2062?
Answer: HCF of 7813, 2062 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7813, 2062 using Euclid's Algorithm?
Answer: For arbitrary numbers 7813, 2062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.