Highest Common Factor of 6569, 7862 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 6569, 7862 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6569, 7862 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 6569, 7862 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 6569, 7862 is 1.
HCF(6569, 7862) = 1
HCF of 6569, 7862 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6569, 7862 is 1.
Highest Common Factor of 6569,7862 is 1
Step 1: Since 7862 > 6569, we apply the division lemma to 7862 and 6569, to get
7862 = 6569 x 1 + 1293
Step 2: Since the reminder 6569 ≠ 0, we apply division lemma to 1293 and 6569, to get
6569 = 1293 x 5 + 104
Step 3: We consider the new divisor 1293 and the new remainder 104, and apply the division lemma to get
1293 = 104 x 12 + 45
We consider the new divisor 104 and the new remainder 45,and apply the division lemma to get
104 = 45 x 2 + 14
We consider the new divisor 45 and the new remainder 14,and apply the division lemma to get
45 = 14 x 3 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 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 6569 and 7862 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(45,14) = HCF(104,45) = HCF(1293,104) = HCF(6569,1293) = HCF(7862,6569) .
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Frequently Asked Questions on HCF of 6569, 7862 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 6569, 7862?
Answer: HCF of 6569, 7862 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6569, 7862 using Euclid's Algorithm?
Answer: For arbitrary numbers 6569, 7862 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
