Highest Common Factor of 2061, 7030 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 2061, 7030 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 2061, 7030 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 2061, 7030 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 2061, 7030 is 1.
HCF(2061, 7030) = 1
HCF of 2061, 7030 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 2061, 7030 is 1.
Highest Common Factor of 2061,7030 is 1
Step 1: Since 7030 > 2061, we apply the division lemma to 7030 and 2061, to get
7030 = 2061 x 3 + 847
Step 2: Since the reminder 2061 ≠ 0, we apply division lemma to 847 and 2061, to get
2061 = 847 x 2 + 367
Step 3: We consider the new divisor 847 and the new remainder 367, and apply the division lemma to get
847 = 367 x 2 + 113
We consider the new divisor 367 and the new remainder 113,and apply the division lemma to get
367 = 113 x 3 + 28
We consider the new divisor 113 and the new remainder 28,and apply the division lemma to get
113 = 28 x 4 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2061 and 7030 is 1
Notice that 1 = HCF(28,1) = HCF(113,28) = HCF(367,113) = HCF(847,367) = HCF(2061,847) = HCF(7030,2061) .
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Frequently Asked Questions on HCF of 2061, 7030 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 2061, 7030?
Answer: HCF of 2061, 7030 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 2061, 7030 using Euclid's Algorithm?
Answer: For arbitrary numbers 2061, 7030 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
