Highest Common Factor of 842, 695 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, 695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 842, 695 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, 695 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, 695 is 1.
HCF(842, 695) = 1
HCF of 842, 695 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, 695 is 1.
Highest Common Factor of 842,695 is 1
Step 1: Since 842 > 695, we apply the division lemma to 842 and 695, to get
842 = 695 x 1 + 147
Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 147 and 695, to get
695 = 147 x 4 + 107
Step 3: We consider the new divisor 147 and the new remainder 107, and apply the division lemma to get
147 = 107 x 1 + 40
We consider the new divisor 107 and the new remainder 40,and apply the division lemma to get
107 = 40 x 2 + 27
We consider the new divisor 40 and the new remainder 27,and apply the division lemma to get
40 = 27 x 1 + 13
We consider the new divisor 27 and the new remainder 13,and apply the division lemma to get
27 = 13 x 2 + 1
We consider the new divisor 13 and the new remainder 1,and apply the division lemma to get
13 = 1 x 13 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 842 and 695 is 1
Notice that 1 = HCF(13,1) = HCF(27,13) = HCF(40,27) = HCF(107,40) = HCF(147,107) = HCF(695,147) = HCF(842,695) .
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Frequently Asked Questions on HCF of 842, 695 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, 695?
Answer: HCF of 842, 695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 842, 695 using Euclid's Algorithm?
Answer: For arbitrary numbers 842, 695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.