Highest Common Factor of 263, 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 263, 695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 263, 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 263, 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 263, 695 is 1.
HCF(263, 695) = 1
HCF of 263, 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 263, 695 is 1.
Highest Common Factor of 263,695 is 1
Step 1: Since 695 > 263, we apply the division lemma to 695 and 263, to get
695 = 263 x 2 + 169
Step 2: Since the reminder 263 ≠ 0, we apply division lemma to 169 and 263, to get
263 = 169 x 1 + 94
Step 3: We consider the new divisor 169 and the new remainder 94, and apply the division lemma to get
169 = 94 x 1 + 75
We consider the new divisor 94 and the new remainder 75,and apply the division lemma to get
94 = 75 x 1 + 19
We consider the new divisor 75 and the new remainder 19,and apply the division lemma to get
75 = 19 x 3 + 18
We consider the new divisor 19 and the new remainder 18,and apply the division lemma to get
19 = 18 x 1 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 263 and 695 is 1
Notice that 1 = HCF(18,1) = HCF(19,18) = HCF(75,19) = HCF(94,75) = HCF(169,94) = HCF(263,169) = HCF(695,263) .
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Frequently Asked Questions on HCF of 263, 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 263, 695?
Answer: HCF of 263, 695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 263, 695 using Euclid's Algorithm?
Answer: For arbitrary numbers 263, 695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.