Highest Common Factor of 962, 798, 459 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 962, 798, 459 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 798, 459 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 962, 798, 459 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 962, 798, 459 is 1.
HCF(962, 798, 459) = 1
HCF of 962, 798, 459 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 962, 798, 459 is 1.
Highest Common Factor of 962,798,459 is 1
Step 1: Since 962 > 798, we apply the division lemma to 962 and 798, to get
962 = 798 x 1 + 164
Step 2: Since the reminder 798 ≠ 0, we apply division lemma to 164 and 798, to get
798 = 164 x 4 + 142
Step 3: We consider the new divisor 164 and the new remainder 142, and apply the division lemma to get
164 = 142 x 1 + 22
We consider the new divisor 142 and the new remainder 22,and apply the division lemma to get
142 = 22 x 6 + 10
We consider the new divisor 22 and the new remainder 10,and apply the division lemma to get
22 = 10 x 2 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 962 and 798 is 2
Notice that 2 = HCF(10,2) = HCF(22,10) = HCF(142,22) = HCF(164,142) = HCF(798,164) = HCF(962,798) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 459 > 2, we apply the division lemma to 459 and 2, to get
459 = 2 x 229 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 459 is 1
Notice that 1 = HCF(2,1) = HCF(459,2) .
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Frequently Asked Questions on HCF of 962, 798, 459 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 962, 798, 459?
Answer: HCF of 962, 798, 459 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 798, 459 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 798, 459 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.