Highest Common Factor of 8152, 1213 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 8152, 1213 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8152, 1213 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 8152, 1213 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 8152, 1213 is 1.
HCF(8152, 1213) = 1
HCF of 8152, 1213 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8152, 1213 is 1.
Highest Common Factor of 8152,1213 is 1
Step 1: Since 8152 > 1213, we apply the division lemma to 8152 and 1213, to get
8152 = 1213 x 6 + 874
Step 2: Since the reminder 1213 ≠ 0, we apply division lemma to 874 and 1213, to get
1213 = 874 x 1 + 339
Step 3: We consider the new divisor 874 and the new remainder 339, and apply the division lemma to get
874 = 339 x 2 + 196
We consider the new divisor 339 and the new remainder 196,and apply the division lemma to get
339 = 196 x 1 + 143
We consider the new divisor 196 and the new remainder 143,and apply the division lemma to get
196 = 143 x 1 + 53
We consider the new divisor 143 and the new remainder 53,and apply the division lemma to get
143 = 53 x 2 + 37
We consider the new divisor 53 and the new remainder 37,and apply the division lemma to get
53 = 37 x 1 + 16
We consider the new divisor 37 and the new remainder 16,and apply the division lemma to get
37 = 16 x 2 + 5
We consider the new divisor 16 and the new remainder 5,and apply the division lemma to get
16 = 5 x 3 + 1
We consider the new divisor 5 and the new remainder 1,and apply the division lemma to get
5 = 1 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8152 and 1213 is 1
Notice that 1 = HCF(5,1) = HCF(16,5) = HCF(37,16) = HCF(53,37) = HCF(143,53) = HCF(196,143) = HCF(339,196) = HCF(874,339) = HCF(1213,874) = HCF(8152,1213) .
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Frequently Asked Questions on HCF of 8152, 1213 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 8152, 1213?
Answer: HCF of 8152, 1213 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8152, 1213 using Euclid's Algorithm?
Answer: For arbitrary numbers 8152, 1213 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.