Highest Common Factor of 8968, 795 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 8968, 795 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8968, 795 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 8968, 795 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 8968, 795 is 1.
HCF(8968, 795) = 1
HCF of 8968, 795 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8968, 795 is 1.
Highest Common Factor of 8968,795 is 1
Step 1: Since 8968 > 795, we apply the division lemma to 8968 and 795, to get
8968 = 795 x 11 + 223
Step 2: Since the reminder 795 ≠ 0, we apply division lemma to 223 and 795, to get
795 = 223 x 3 + 126
Step 3: We consider the new divisor 223 and the new remainder 126, and apply the division lemma to get
223 = 126 x 1 + 97
We consider the new divisor 126 and the new remainder 97,and apply the division lemma to get
126 = 97 x 1 + 29
We consider the new divisor 97 and the new remainder 29,and apply the division lemma to get
97 = 29 x 3 + 10
We consider the new divisor 29 and the new remainder 10,and apply the division lemma to get
29 = 10 x 2 + 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 8968 and 795 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(29,10) = HCF(97,29) = HCF(126,97) = HCF(223,126) = HCF(795,223) = HCF(8968,795) .
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Frequently Asked Questions on HCF of 8968, 795 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 8968, 795?
Answer: HCF of 8968, 795 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8968, 795 using Euclid's Algorithm?
Answer: For arbitrary numbers 8968, 795 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.