Highest Common Factor of 638, 401, 953, 51 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 638, 401, 953, 51 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 638, 401, 953, 51 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 638, 401, 953, 51 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 638, 401, 953, 51 is 1.
HCF(638, 401, 953, 51) = 1
HCF of 638, 401, 953, 51 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 638, 401, 953, 51 is 1.
Highest Common Factor of 638,401,953,51 is 1
Step 1: Since 638 > 401, we apply the division lemma to 638 and 401, to get
638 = 401 x 1 + 237
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 237 and 401, to get
401 = 237 x 1 + 164
Step 3: We consider the new divisor 237 and the new remainder 164, and apply the division lemma to get
237 = 164 x 1 + 73
We consider the new divisor 164 and the new remainder 73,and apply the division lemma to get
164 = 73 x 2 + 18
We consider the new divisor 73 and the new remainder 18,and apply the division lemma to get
73 = 18 x 4 + 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 638 and 401 is 1
Notice that 1 = HCF(18,1) = HCF(73,18) = HCF(164,73) = HCF(237,164) = HCF(401,237) = HCF(638,401) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 953 > 1, we apply the division lemma to 953 and 1, to get
953 = 1 x 953 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 953 is 1
Notice that 1 = HCF(953,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 51 > 1, we apply the division lemma to 51 and 1, to get
51 = 1 x 51 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 51 is 1
Notice that 1 = HCF(51,1) .
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Frequently Asked Questions on HCF of 638, 401, 953, 51 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 638, 401, 953, 51?
Answer: HCF of 638, 401, 953, 51 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 638, 401, 953, 51 using Euclid's Algorithm?
Answer: For arbitrary numbers 638, 401, 953, 51 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.