Highest Common Factor of 968, 8629 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 968, 8629 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 968, 8629 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 968, 8629 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 968, 8629 is 1.
HCF(968, 8629) = 1
HCF of 968, 8629 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 968, 8629 is 1.
Highest Common Factor of 968,8629 is 1
Step 1: Since 8629 > 968, we apply the division lemma to 8629 and 968, to get
8629 = 968 x 8 + 885
Step 2: Since the reminder 968 ≠ 0, we apply division lemma to 885 and 968, to get
968 = 885 x 1 + 83
Step 3: We consider the new divisor 885 and the new remainder 83, and apply the division lemma to get
885 = 83 x 10 + 55
We consider the new divisor 83 and the new remainder 55,and apply the division lemma to get
83 = 55 x 1 + 28
We consider the new divisor 55 and the new remainder 28,and apply the division lemma to get
55 = 28 x 1 + 27
We consider the new divisor 28 and the new remainder 27,and apply the division lemma to get
28 = 27 x 1 + 1
We consider the new divisor 27 and the new remainder 1,and apply the division lemma to get
27 = 1 x 27 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 968 and 8629 is 1
Notice that 1 = HCF(27,1) = HCF(28,27) = HCF(55,28) = HCF(83,55) = HCF(885,83) = HCF(968,885) = HCF(8629,968) .
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Frequently Asked Questions on HCF of 968, 8629 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 968, 8629?
Answer: HCF of 968, 8629 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 968, 8629 using Euclid's Algorithm?
Answer: For arbitrary numbers 968, 8629 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.