Highest Common Factor of 401, 737, 821, 678 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 401, 737, 821, 678 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 401, 737, 821, 678 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 401, 737, 821, 678 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 401, 737, 821, 678 is 1.
HCF(401, 737, 821, 678) = 1
HCF of 401, 737, 821, 678 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 401, 737, 821, 678 is 1.
Highest Common Factor of 401,737,821,678 is 1
Step 1: Since 737 > 401, we apply the division lemma to 737 and 401, to get
737 = 401 x 1 + 336
Step 2: Since the reminder 401 ≠ 0, we apply division lemma to 336 and 401, to get
401 = 336 x 1 + 65
Step 3: We consider the new divisor 336 and the new remainder 65, and apply the division lemma to get
336 = 65 x 5 + 11
We consider the new divisor 65 and the new remainder 11,and apply the division lemma to get
65 = 11 x 5 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 401 and 737 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(65,11) = HCF(336,65) = HCF(401,336) = HCF(737,401) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 821 > 1, we apply the division lemma to 821 and 1, to get
821 = 1 x 821 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 821 is 1
Notice that 1 = HCF(821,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 678 > 1, we apply the division lemma to 678 and 1, to get
678 = 1 x 678 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 678 is 1
Notice that 1 = HCF(678,1) .
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Frequently Asked Questions on HCF of 401, 737, 821, 678 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 401, 737, 821, 678?
Answer: HCF of 401, 737, 821, 678 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 401, 737, 821, 678 using Euclid's Algorithm?
Answer: For arbitrary numbers 401, 737, 821, 678 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.