Highest Common Factor of 962, 363, 651, 401 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, 363, 651, 401 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 962, 363, 651, 401 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, 363, 651, 401 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, 363, 651, 401 is 1.
HCF(962, 363, 651, 401) = 1
HCF of 962, 363, 651, 401 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, 363, 651, 401 is 1.
Highest Common Factor of 962,363,651,401 is 1
Step 1: Since 962 > 363, we apply the division lemma to 962 and 363, to get
962 = 363 x 2 + 236
Step 2: Since the reminder 363 ≠ 0, we apply division lemma to 236 and 363, to get
363 = 236 x 1 + 127
Step 3: We consider the new divisor 236 and the new remainder 127, and apply the division lemma to get
236 = 127 x 1 + 109
We consider the new divisor 127 and the new remainder 109,and apply the division lemma to get
127 = 109 x 1 + 18
We consider the new divisor 109 and the new remainder 18,and apply the division lemma to get
109 = 18 x 6 + 1
We consider the new divisor 18 and the new remainder 1,and apply the division lemma to get
18 = 1 x 18 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 962 and 363 is 1
Notice that 1 = HCF(18,1) = HCF(109,18) = HCF(127,109) = HCF(236,127) = HCF(363,236) = HCF(962,363) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 651 > 1, we apply the division lemma to 651 and 1, to get
651 = 1 x 651 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 651 is 1
Notice that 1 = HCF(651,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 401 > 1, we apply the division lemma to 401 and 1, to get
401 = 1 x 401 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 401 is 1
Notice that 1 = HCF(401,1) .
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Frequently Asked Questions on HCF of 962, 363, 651, 401 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, 363, 651, 401?
Answer: HCF of 962, 363, 651, 401 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 962, 363, 651, 401 using Euclid's Algorithm?
Answer: For arbitrary numbers 962, 363, 651, 401 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.