Highest Common Factor of 482, 872, 643, 307 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 482, 872, 643, 307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 482, 872, 643, 307 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 482, 872, 643, 307 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 482, 872, 643, 307 is 1.
HCF(482, 872, 643, 307) = 1
HCF of 482, 872, 643, 307 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 482, 872, 643, 307 is 1.
Highest Common Factor of 482,872,643,307 is 1
Step 1: Since 872 > 482, we apply the division lemma to 872 and 482, to get
872 = 482 x 1 + 390
Step 2: Since the reminder 482 ≠ 0, we apply division lemma to 390 and 482, to get
482 = 390 x 1 + 92
Step 3: We consider the new divisor 390 and the new remainder 92, and apply the division lemma to get
390 = 92 x 4 + 22
We consider the new divisor 92 and the new remainder 22,and apply the division lemma to get
92 = 22 x 4 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 482 and 872 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(92,22) = HCF(390,92) = HCF(482,390) = HCF(872,482) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 643 > 2, we apply the division lemma to 643 and 2, to get
643 = 2 x 321 + 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 643 is 1
Notice that 1 = HCF(2,1) = HCF(643,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 307 > 1, we apply the division lemma to 307 and 1, to get
307 = 1 x 307 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 307 is 1
Notice that 1 = HCF(307,1) .
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Frequently Asked Questions on HCF of 482, 872, 643, 307 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 482, 872, 643, 307?
Answer: HCF of 482, 872, 643, 307 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 482, 872, 643, 307 using Euclid's Algorithm?
Answer: For arbitrary numbers 482, 872, 643, 307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.