Highest Common Factor of 7760, 5861 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 7760, 5861 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7760, 5861 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 7760, 5861 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 7760, 5861 is 1.
HCF(7760, 5861) = 1
HCF of 7760, 5861 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7760, 5861 is 1.
Highest Common Factor of 7760,5861 is 1
Step 1: Since 7760 > 5861, we apply the division lemma to 7760 and 5861, to get
7760 = 5861 x 1 + 1899
Step 2: Since the reminder 5861 ≠ 0, we apply division lemma to 1899 and 5861, to get
5861 = 1899 x 3 + 164
Step 3: We consider the new divisor 1899 and the new remainder 164, and apply the division lemma to get
1899 = 164 x 11 + 95
We consider the new divisor 164 and the new remainder 95,and apply the division lemma to get
164 = 95 x 1 + 69
We consider the new divisor 95 and the new remainder 69,and apply the division lemma to get
95 = 69 x 1 + 26
We consider the new divisor 69 and the new remainder 26,and apply the division lemma to get
69 = 26 x 2 + 17
We consider the new divisor 26 and the new remainder 17,and apply the division lemma to get
26 = 17 x 1 + 9
We consider the new divisor 17 and the new remainder 9,and apply the division lemma to get
17 = 9 x 1 + 8
We consider the new divisor 9 and the new remainder 8,and apply the division lemma to get
9 = 8 x 1 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 7760 and 5861 is 1
Notice that 1 = HCF(8,1) = HCF(9,8) = HCF(17,9) = HCF(26,17) = HCF(69,26) = HCF(95,69) = HCF(164,95) = HCF(1899,164) = HCF(5861,1899) = HCF(7760,5861) .
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Frequently Asked Questions on HCF of 7760, 5861 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 7760, 5861?
Answer: HCF of 7760, 5861 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7760, 5861 using Euclid's Algorithm?
Answer: For arbitrary numbers 7760, 5861 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.