Highest Common Factor of 8865, 691 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 8865, 691 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8865, 691 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 8865, 691 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 8865, 691 is 1.
HCF(8865, 691) = 1
HCF of 8865, 691 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8865, 691 is 1.
Highest Common Factor of 8865,691 is 1
Step 1: Since 8865 > 691, we apply the division lemma to 8865 and 691, to get
8865 = 691 x 12 + 573
Step 2: Since the reminder 691 ≠ 0, we apply division lemma to 573 and 691, to get
691 = 573 x 1 + 118
Step 3: We consider the new divisor 573 and the new remainder 118, and apply the division lemma to get
573 = 118 x 4 + 101
We consider the new divisor 118 and the new remainder 101,and apply the division lemma to get
118 = 101 x 1 + 17
We consider the new divisor 101 and the new remainder 17,and apply the division lemma to get
101 = 17 x 5 + 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 8865 and 691 is 1
Notice that 1 = HCF(16,1) = HCF(17,16) = HCF(101,17) = HCF(118,101) = HCF(573,118) = HCF(691,573) = HCF(8865,691) .
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Frequently Asked Questions on HCF of 8865, 691 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 8865, 691?
Answer: HCF of 8865, 691 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8865, 691 using Euclid's Algorithm?
Answer: For arbitrary numbers 8865, 691 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.