Highest Common Factor of 6065, 5261 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 6065, 5261 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6065, 5261 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 6065, 5261 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 6065, 5261 is 1.
HCF(6065, 5261) = 1
HCF of 6065, 5261 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6065, 5261 is 1.
Highest Common Factor of 6065,5261 is 1
Step 1: Since 6065 > 5261, we apply the division lemma to 6065 and 5261, to get
6065 = 5261 x 1 + 804
Step 2: Since the reminder 5261 ≠ 0, we apply division lemma to 804 and 5261, to get
5261 = 804 x 6 + 437
Step 3: We consider the new divisor 804 and the new remainder 437, and apply the division lemma to get
804 = 437 x 1 + 367
We consider the new divisor 437 and the new remainder 367,and apply the division lemma to get
437 = 367 x 1 + 70
We consider the new divisor 367 and the new remainder 70,and apply the division lemma to get
367 = 70 x 5 + 17
We consider the new divisor 70 and the new remainder 17,and apply the division lemma to get
70 = 17 x 4 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6065 and 5261 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(70,17) = HCF(367,70) = HCF(437,367) = HCF(804,437) = HCF(5261,804) = HCF(6065,5261) .
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Frequently Asked Questions on HCF of 6065, 5261 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 6065, 5261?
Answer: HCF of 6065, 5261 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6065, 5261 using Euclid's Algorithm?
Answer: For arbitrary numbers 6065, 5261 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
