Highest Common Factor of 842, 12815 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 842, 12815 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 842, 12815 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 842, 12815 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 842, 12815 is 1.
HCF(842, 12815) = 1
HCF of 842, 12815 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 842, 12815 is 1.
Highest Common Factor of 842,12815 is 1
Step 1: Since 12815 > 842, we apply the division lemma to 12815 and 842, to get
12815 = 842 x 15 + 185
Step 2: Since the reminder 842 ≠ 0, we apply division lemma to 185 and 842, to get
842 = 185 x 4 + 102
Step 3: We consider the new divisor 185 and the new remainder 102, and apply the division lemma to get
185 = 102 x 1 + 83
We consider the new divisor 102 and the new remainder 83,and apply the division lemma to get
102 = 83 x 1 + 19
We consider the new divisor 83 and the new remainder 19,and apply the division lemma to get
83 = 19 x 4 + 7
We consider the new divisor 19 and the new remainder 7,and apply the division lemma to get
19 = 7 x 2 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 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 842 and 12815 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(19,7) = HCF(83,19) = HCF(102,83) = HCF(185,102) = HCF(842,185) = HCF(12815,842) .
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Frequently Asked Questions on HCF of 842, 12815 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 842, 12815?
Answer: HCF of 842, 12815 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 842, 12815 using Euclid's Algorithm?
Answer: For arbitrary numbers 842, 12815 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.