Highest Common Factor of 946, 817, 335 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 946, 817, 335 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 946, 817, 335 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 946, 817, 335 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 946, 817, 335 is 1.
HCF(946, 817, 335) = 1
HCF of 946, 817, 335 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 946, 817, 335 is 1.
Highest Common Factor of 946,817,335 is 1
Step 1: Since 946 > 817, we apply the division lemma to 946 and 817, to get
946 = 817 x 1 + 129
Step 2: Since the reminder 817 ≠ 0, we apply division lemma to 129 and 817, to get
817 = 129 x 6 + 43
Step 3: We consider the new divisor 129 and the new remainder 43, and apply the division lemma to get
129 = 43 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 43, the HCF of 946 and 817 is 43
Notice that 43 = HCF(129,43) = HCF(817,129) = HCF(946,817) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 335 > 43, we apply the division lemma to 335 and 43, to get
335 = 43 x 7 + 34
Step 2: Since the reminder 43 ≠ 0, we apply division lemma to 34 and 43, to get
43 = 34 x 1 + 9
Step 3: We consider the new divisor 34 and the new remainder 9, and apply the division lemma to get
34 = 9 x 3 + 7
We consider the new divisor 9 and the new remainder 7,and apply the division lemma to get
9 = 7 x 1 + 2
We consider the new divisor 7 and the new remainder 2,and apply the division lemma to get
7 = 2 x 3 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 43 and 335 is 1
Notice that 1 = HCF(2,1) = HCF(7,2) = HCF(9,7) = HCF(34,9) = HCF(43,34) = HCF(335,43) .
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Frequently Asked Questions on HCF of 946, 817, 335 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 946, 817, 335?
Answer: HCF of 946, 817, 335 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 946, 817, 335 using Euclid's Algorithm?
Answer: For arbitrary numbers 946, 817, 335 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.