Highest Common Factor of 853, 9153 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 853, 9153 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 853, 9153 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 853, 9153 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 853, 9153 is 1.
HCF(853, 9153) = 1
HCF of 853, 9153 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 853, 9153 is 1.
Highest Common Factor of 853,9153 is 1
Step 1: Since 9153 > 853, we apply the division lemma to 9153 and 853, to get
9153 = 853 x 10 + 623
Step 2: Since the reminder 853 ≠ 0, we apply division lemma to 623 and 853, to get
853 = 623 x 1 + 230
Step 3: We consider the new divisor 623 and the new remainder 230, and apply the division lemma to get
623 = 230 x 2 + 163
We consider the new divisor 230 and the new remainder 163,and apply the division lemma to get
230 = 163 x 1 + 67
We consider the new divisor 163 and the new remainder 67,and apply the division lemma to get
163 = 67 x 2 + 29
We consider the new divisor 67 and the new remainder 29,and apply the division lemma to get
67 = 29 x 2 + 9
We consider the new divisor 29 and the new remainder 9,and apply the division lemma to get
29 = 9 x 3 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 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 853 and 9153 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(29,9) = HCF(67,29) = HCF(163,67) = HCF(230,163) = HCF(623,230) = HCF(853,623) = HCF(9153,853) .
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Frequently Asked Questions on HCF of 853, 9153 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 853, 9153?
Answer: HCF of 853, 9153 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 853, 9153 using Euclid's Algorithm?
Answer: For arbitrary numbers 853, 9153 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.