Highest Common Factor of 8769, 7061 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 8769, 7061 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8769, 7061 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 8769, 7061 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 8769, 7061 is 1.
HCF(8769, 7061) = 1
HCF of 8769, 7061 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8769, 7061 is 1.
Highest Common Factor of 8769,7061 is 1
Step 1: Since 8769 > 7061, we apply the division lemma to 8769 and 7061, to get
8769 = 7061 x 1 + 1708
Step 2: Since the reminder 7061 ≠ 0, we apply division lemma to 1708 and 7061, to get
7061 = 1708 x 4 + 229
Step 3: We consider the new divisor 1708 and the new remainder 229, and apply the division lemma to get
1708 = 229 x 7 + 105
We consider the new divisor 229 and the new remainder 105,and apply the division lemma to get
229 = 105 x 2 + 19
We consider the new divisor 105 and the new remainder 19,and apply the division lemma to get
105 = 19 x 5 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8769 and 7061 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(105,19) = HCF(229,105) = HCF(1708,229) = HCF(7061,1708) = HCF(8769,7061) .
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Frequently Asked Questions on HCF of 8769, 7061 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 8769, 7061?
Answer: HCF of 8769, 7061 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8769, 7061 using Euclid's Algorithm?
Answer: For arbitrary numbers 8769, 7061 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.