Highest Common Factor of 814, 939, 917, 17 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 814, 939, 917, 17 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 814, 939, 917, 17 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 814, 939, 917, 17 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 814, 939, 917, 17 is 1.
HCF(814, 939, 917, 17) = 1
HCF of 814, 939, 917, 17 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 814, 939, 917, 17 is 1.
Highest Common Factor of 814,939,917,17 is 1
Step 1: Since 939 > 814, we apply the division lemma to 939 and 814, to get
939 = 814 x 1 + 125
Step 2: Since the reminder 814 ≠ 0, we apply division lemma to 125 and 814, to get
814 = 125 x 6 + 64
Step 3: We consider the new divisor 125 and the new remainder 64, and apply the division lemma to get
125 = 64 x 1 + 61
We consider the new divisor 64 and the new remainder 61,and apply the division lemma to get
64 = 61 x 1 + 3
We consider the new divisor 61 and the new remainder 3,and apply the division lemma to get
61 = 3 x 20 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 814 and 939 is 1
Notice that 1 = HCF(3,1) = HCF(61,3) = HCF(64,61) = HCF(125,64) = HCF(814,125) = HCF(939,814) .
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) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 17 > 1, we apply the division lemma to 17 and 1, to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 17 is 1
Notice that 1 = HCF(17,1) .
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Frequently Asked Questions on HCF of 814, 939, 917, 17 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 814, 939, 917, 17?
Answer: HCF of 814, 939, 917, 17 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 814, 939, 917, 17 using Euclid's Algorithm?
Answer: For arbitrary numbers 814, 939, 917, 17 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.