Highest Common Factor of 386, 922, 814, 441 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 386, 922, 814, 441 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 386, 922, 814, 441 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 386, 922, 814, 441 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 386, 922, 814, 441 is 1.
HCF(386, 922, 814, 441) = 1
HCF of 386, 922, 814, 441 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 386, 922, 814, 441 is 1.
Highest Common Factor of 386,922,814,441 is 1
Step 1: Since 922 > 386, we apply the division lemma to 922 and 386, to get
922 = 386 x 2 + 150
Step 2: Since the reminder 386 ≠ 0, we apply division lemma to 150 and 386, to get
386 = 150 x 2 + 86
Step 3: We consider the new divisor 150 and the new remainder 86, and apply the division lemma to get
150 = 86 x 1 + 64
We consider the new divisor 86 and the new remainder 64,and apply the division lemma to get
86 = 64 x 1 + 22
We consider the new divisor 64 and the new remainder 22,and apply the division lemma to get
64 = 22 x 2 + 20
We consider the new divisor 22 and the new remainder 20,and apply the division lemma to get
22 = 20 x 1 + 2
We consider the new divisor 20 and the new remainder 2,and apply the division lemma to get
20 = 2 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 386 and 922 is 2
Notice that 2 = HCF(20,2) = HCF(22,20) = HCF(64,22) = HCF(86,64) = HCF(150,86) = HCF(386,150) = HCF(922,386) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 814 > 2, we apply the division lemma to 814 and 2, to get
814 = 2 x 407 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 814 is 2
Notice that 2 = HCF(814,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 441 > 2, we apply the division lemma to 441 and 2, to get
441 = 2 x 220 + 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 441 is 1
Notice that 1 = HCF(2,1) = HCF(441,2) .
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Frequently Asked Questions on HCF of 386, 922, 814, 441 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 386, 922, 814, 441?
Answer: HCF of 386, 922, 814, 441 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 386, 922, 814, 441 using Euclid's Algorithm?
Answer: For arbitrary numbers 386, 922, 814, 441 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.