Highest Common Factor of 709, 427 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 709, 427 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 427 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 709, 427 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 709, 427 is 1.
HCF(709, 427) = 1
HCF of 709, 427 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 709, 427 is 1.
Highest Common Factor of 709,427 is 1
Step 1: Since 709 > 427, we apply the division lemma to 709 and 427, to get
709 = 427 x 1 + 282
Step 2: Since the reminder 427 ≠ 0, we apply division lemma to 282 and 427, to get
427 = 282 x 1 + 145
Step 3: We consider the new divisor 282 and the new remainder 145, and apply the division lemma to get
282 = 145 x 1 + 137
We consider the new divisor 145 and the new remainder 137,and apply the division lemma to get
145 = 137 x 1 + 8
We consider the new divisor 137 and the new remainder 8,and apply the division lemma to get
137 = 8 x 17 + 1
We consider the new divisor 8 and the new remainder 1,and apply the division lemma to get
8 = 1 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 709 and 427 is 1
Notice that 1 = HCF(8,1) = HCF(137,8) = HCF(145,137) = HCF(282,145) = HCF(427,282) = HCF(709,427) .
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Frequently Asked Questions on HCF of 709, 427 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 709, 427?
Answer: HCF of 709, 427 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 427 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 427 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.