Highest Common Factor of 5707, 1691 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 5707, 1691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5707, 1691 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 5707, 1691 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 5707, 1691 is 1.
HCF(5707, 1691) = 1
HCF of 5707, 1691 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5707, 1691 is 1.
Highest Common Factor of 5707,1691 is 1
Step 1: Since 5707 > 1691, we apply the division lemma to 5707 and 1691, to get
5707 = 1691 x 3 + 634
Step 2: Since the reminder 1691 ≠ 0, we apply division lemma to 634 and 1691, to get
1691 = 634 x 2 + 423
Step 3: We consider the new divisor 634 and the new remainder 423, and apply the division lemma to get
634 = 423 x 1 + 211
We consider the new divisor 423 and the new remainder 211,and apply the division lemma to get
423 = 211 x 2 + 1
We consider the new divisor 211 and the new remainder 1,and apply the division lemma to get
211 = 1 x 211 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5707 and 1691 is 1
Notice that 1 = HCF(211,1) = HCF(423,211) = HCF(634,423) = HCF(1691,634) = HCF(5707,1691) .
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Frequently Asked Questions on HCF of 5707, 1691 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 5707, 1691?
Answer: HCF of 5707, 1691 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5707, 1691 using Euclid's Algorithm?
Answer: For arbitrary numbers 5707, 1691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.