Highest Common Factor of 437, 69746 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 437, 69746 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 437, 69746 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 437, 69746 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 437, 69746 is 1.
HCF(437, 69746) = 1
HCF of 437, 69746 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 437, 69746 is 1.
Highest Common Factor of 437,69746 is 1
Step 1: Since 69746 > 437, we apply the division lemma to 69746 and 437, to get
69746 = 437 x 159 + 263
Step 2: Since the reminder 437 ≠ 0, we apply division lemma to 263 and 437, to get
437 = 263 x 1 + 174
Step 3: We consider the new divisor 263 and the new remainder 174, and apply the division lemma to get
263 = 174 x 1 + 89
We consider the new divisor 174 and the new remainder 89,and apply the division lemma to get
174 = 89 x 1 + 85
We consider the new divisor 89 and the new remainder 85,and apply the division lemma to get
89 = 85 x 1 + 4
We consider the new divisor 85 and the new remainder 4,and apply the division lemma to get
85 = 4 x 21 + 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 437 and 69746 is 1
Notice that 1 = HCF(4,1) = HCF(85,4) = HCF(89,85) = HCF(174,89) = HCF(263,174) = HCF(437,263) = HCF(69746,437) .
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Frequently Asked Questions on HCF of 437, 69746 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 437, 69746?
Answer: HCF of 437, 69746 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 437, 69746 using Euclid's Algorithm?
Answer: For arbitrary numbers 437, 69746 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.