Highest Common Factor of 4289, 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 4289, 695 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4289, 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 4289, 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 4289, 695 is 1.
HCF(4289, 695) = 1
HCF of 4289, 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 4289, 695 is 1.
Highest Common Factor of 4289,695 is 1
Step 1: Since 4289 > 695, we apply the division lemma to 4289 and 695, to get
4289 = 695 x 6 + 119
Step 2: Since the reminder 695 ≠ 0, we apply division lemma to 119 and 695, to get
695 = 119 x 5 + 100
Step 3: We consider the new divisor 119 and the new remainder 100, and apply the division lemma to get
119 = 100 x 1 + 19
We consider the new divisor 100 and the new remainder 19,and apply the division lemma to get
100 = 19 x 5 + 5
We consider the new divisor 19 and the new remainder 5,and apply the division lemma to get
19 = 5 x 3 + 4
We consider the new divisor 5 and the new remainder 4,and apply the division lemma to get
5 = 4 x 1 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4289 and 695 is 1
Notice that 1 = HCF(4,1) = HCF(5,4) = HCF(19,5) = HCF(100,19) = HCF(119,100) = HCF(695,119) = HCF(4289,695) .
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Frequently Asked Questions on HCF of 4289, 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 4289, 695?
Answer: HCF of 4289, 695 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4289, 695 using Euclid's Algorithm?
Answer: For arbitrary numbers 4289, 695 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.