Highest Common Factor of 7681, 8834, 65657 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 7681, 8834, 65657 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7681, 8834, 65657 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 7681, 8834, 65657 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 7681, 8834, 65657 is 1.
HCF(7681, 8834, 65657) = 1
HCF of 7681, 8834, 65657 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7681, 8834, 65657 is 1.
Highest Common Factor of 7681,8834,65657 is 1
Step 1: Since 8834 > 7681, we apply the division lemma to 8834 and 7681, to get
8834 = 7681 x 1 + 1153
Step 2: Since the reminder 7681 ≠ 0, we apply division lemma to 1153 and 7681, to get
7681 = 1153 x 6 + 763
Step 3: We consider the new divisor 1153 and the new remainder 763, and apply the division lemma to get
1153 = 763 x 1 + 390
We consider the new divisor 763 and the new remainder 390,and apply the division lemma to get
763 = 390 x 1 + 373
We consider the new divisor 390 and the new remainder 373,and apply the division lemma to get
390 = 373 x 1 + 17
We consider the new divisor 373 and the new remainder 17,and apply the division lemma to get
373 = 17 x 21 + 16
We consider the new divisor 17 and the new remainder 16,and apply the division lemma to get
17 = 16 x 1 + 1
We consider the new divisor 16 and the new remainder 1,and apply the division lemma to get
16 = 1 x 16 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7681 and 8834 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(373,17) = HCF(390,373) = HCF(763,390) = HCF(1153,763) = HCF(7681,1153) = HCF(8834,7681) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 65657 > 1, we apply the division lemma to 65657 and 1, to get
65657 = 1 x 65657 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 65657 is 1
Notice that 1 = HCF(65657,1) .
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Frequently Asked Questions on HCF of 7681, 8834, 65657 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 7681, 8834, 65657?
Answer: HCF of 7681, 8834, 65657 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7681, 8834, 65657 using Euclid's Algorithm?
Answer: For arbitrary numbers 7681, 8834, 65657 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.