Highest Common Factor of 5691, 6898 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 5691, 6898 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 5691, 6898 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 5691, 6898 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 5691, 6898 is 1.
HCF(5691, 6898) = 1
HCF of 5691, 6898 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 5691, 6898 is 1.
Highest Common Factor of 5691,6898 is 1
Step 1: Since 6898 > 5691, we apply the division lemma to 6898 and 5691, to get
6898 = 5691 x 1 + 1207
Step 2: Since the reminder 5691 ≠ 0, we apply division lemma to 1207 and 5691, to get
5691 = 1207 x 4 + 863
Step 3: We consider the new divisor 1207 and the new remainder 863, and apply the division lemma to get
1207 = 863 x 1 + 344
We consider the new divisor 863 and the new remainder 344,and apply the division lemma to get
863 = 344 x 2 + 175
We consider the new divisor 344 and the new remainder 175,and apply the division lemma to get
344 = 175 x 1 + 169
We consider the new divisor 175 and the new remainder 169,and apply the division lemma to get
175 = 169 x 1 + 6
We consider the new divisor 169 and the new remainder 6,and apply the division lemma to get
169 = 6 x 28 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 5691 and 6898 is 1
Notice that 1 = HCF(6,1) = HCF(169,6) = HCF(175,169) = HCF(344,175) = HCF(863,344) = HCF(1207,863) = HCF(5691,1207) = HCF(6898,5691) .
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Frequently Asked Questions on HCF of 5691, 6898 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 5691, 6898?
Answer: HCF of 5691, 6898 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 5691, 6898 using Euclid's Algorithm?
Answer: For arbitrary numbers 5691, 6898 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.