Highest Common Factor of 7022, 3701 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 7022, 3701 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7022, 3701 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 7022, 3701 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 7022, 3701 is 1.
HCF(7022, 3701) = 1
HCF of 7022, 3701 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7022, 3701 is 1.
Highest Common Factor of 7022,3701 is 1
Step 1: Since 7022 > 3701, we apply the division lemma to 7022 and 3701, to get
7022 = 3701 x 1 + 3321
Step 2: Since the reminder 3701 ≠ 0, we apply division lemma to 3321 and 3701, to get
3701 = 3321 x 1 + 380
Step 3: We consider the new divisor 3321 and the new remainder 380, and apply the division lemma to get
3321 = 380 x 8 + 281
We consider the new divisor 380 and the new remainder 281,and apply the division lemma to get
380 = 281 x 1 + 99
We consider the new divisor 281 and the new remainder 99,and apply the division lemma to get
281 = 99 x 2 + 83
We consider the new divisor 99 and the new remainder 83,and apply the division lemma to get
99 = 83 x 1 + 16
We consider the new divisor 83 and the new remainder 16,and apply the division lemma to get
83 = 16 x 5 + 3
We consider the new divisor 16 and the new remainder 3,and apply the division lemma to get
16 = 3 x 5 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7022 and 3701 is 1
Notice that 1 = HCF(3,1) = HCF(16,3) = HCF(83,16) = HCF(99,83) = HCF(281,99) = HCF(380,281) = HCF(3321,380) = HCF(3701,3321) = HCF(7022,3701) .
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Frequently Asked Questions on HCF of 7022, 3701 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 7022, 3701?
Answer: HCF of 7022, 3701 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7022, 3701 using Euclid's Algorithm?
Answer: For arbitrary numbers 7022, 3701 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.