Highest Common Factor of 7081, 3520 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 7081, 3520 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7081, 3520 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 7081, 3520 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 7081, 3520 is 1.
HCF(7081, 3520) = 1
HCF of 7081, 3520 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7081, 3520 is 1.
Highest Common Factor of 7081,3520 is 1
Step 1: Since 7081 > 3520, we apply the division lemma to 7081 and 3520, to get
7081 = 3520 x 2 + 41
Step 2: Since the reminder 3520 ≠ 0, we apply division lemma to 41 and 3520, to get
3520 = 41 x 85 + 35
Step 3: We consider the new divisor 41 and the new remainder 35, and apply the division lemma to get
41 = 35 x 1 + 6
We consider the new divisor 35 and the new remainder 6,and apply the division lemma to get
35 = 6 x 5 + 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 7081 and 3520 is 1
Notice that 1 = HCF(5,1) = HCF(6,5) = HCF(35,6) = HCF(41,35) = HCF(3520,41) = HCF(7081,3520) .
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Frequently Asked Questions on HCF of 7081, 3520 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 7081, 3520?
Answer: HCF of 7081, 3520 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7081, 3520 using Euclid's Algorithm?
Answer: For arbitrary numbers 7081, 3520 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.