Highest Common Factor of 709, 463, 917 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, 463, 917 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 709, 463, 917 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, 463, 917 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, 463, 917 is 1.
HCF(709, 463, 917) = 1
HCF of 709, 463, 917 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, 463, 917 is 1.
Highest Common Factor of 709,463,917 is 1
Step 1: Since 709 > 463, we apply the division lemma to 709 and 463, to get
709 = 463 x 1 + 246
Step 2: Since the reminder 463 ≠ 0, we apply division lemma to 246 and 463, to get
463 = 246 x 1 + 217
Step 3: We consider the new divisor 246 and the new remainder 217, and apply the division lemma to get
246 = 217 x 1 + 29
We consider the new divisor 217 and the new remainder 29,and apply the division lemma to get
217 = 29 x 7 + 14
We consider the new divisor 29 and the new remainder 14,and apply the division lemma to get
29 = 14 x 2 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 709 and 463 is 1
Notice that 1 = HCF(14,1) = HCF(29,14) = HCF(217,29) = HCF(246,217) = HCF(463,246) = HCF(709,463) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 917 > 1, we apply the division lemma to 917 and 1, to get
917 = 1 x 917 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 917 is 1
Notice that 1 = HCF(917,1) .
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Frequently Asked Questions on HCF of 709, 463, 917 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, 463, 917?
Answer: HCF of 709, 463, 917 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 709, 463, 917 using Euclid's Algorithm?
Answer: For arbitrary numbers 709, 463, 917 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.