Highest Common Factor of 384, 921, 64, 823 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 384, 921, 64, 823 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 384, 921, 64, 823 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 384, 921, 64, 823 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 384, 921, 64, 823 is 1.
HCF(384, 921, 64, 823) = 1
HCF of 384, 921, 64, 823 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 384, 921, 64, 823 is 1.
Highest Common Factor of 384,921,64,823 is 1
Step 1: Since 921 > 384, we apply the division lemma to 921 and 384, to get
921 = 384 x 2 + 153
Step 2: Since the reminder 384 ≠ 0, we apply division lemma to 153 and 384, to get
384 = 153 x 2 + 78
Step 3: We consider the new divisor 153 and the new remainder 78, and apply the division lemma to get
153 = 78 x 1 + 75
We consider the new divisor 78 and the new remainder 75,and apply the division lemma to get
78 = 75 x 1 + 3
We consider the new divisor 75 and the new remainder 3,and apply the division lemma to get
75 = 3 x 25 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 384 and 921 is 3
Notice that 3 = HCF(75,3) = HCF(78,75) = HCF(153,78) = HCF(384,153) = HCF(921,384) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64 > 3, we apply the division lemma to 64 and 3, to get
64 = 3 x 21 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 64 is 1
Notice that 1 = HCF(3,1) = HCF(64,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 823 > 1, we apply the division lemma to 823 and 1, to get
823 = 1 x 823 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 823 is 1
Notice that 1 = HCF(823,1) .
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Frequently Asked Questions on HCF of 384, 921, 64, 823 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 384, 921, 64, 823?
Answer: HCF of 384, 921, 64, 823 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 384, 921, 64, 823 using Euclid's Algorithm?
Answer: For arbitrary numbers 384, 921, 64, 823 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
