Highest Common Factor of 487, 867, 408, 96 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 487, 867, 408, 96 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 487, 867, 408, 96 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 487, 867, 408, 96 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 487, 867, 408, 96 is 1.
HCF(487, 867, 408, 96) = 1
HCF of 487, 867, 408, 96 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 487, 867, 408, 96 is 1.
Highest Common Factor of 487,867,408,96 is 1
Step 1: Since 867 > 487, we apply the division lemma to 867 and 487, to get
867 = 487 x 1 + 380
Step 2: Since the reminder 487 ≠ 0, we apply division lemma to 380 and 487, to get
487 = 380 x 1 + 107
Step 3: We consider the new divisor 380 and the new remainder 107, and apply the division lemma to get
380 = 107 x 3 + 59
We consider the new divisor 107 and the new remainder 59,and apply the division lemma to get
107 = 59 x 1 + 48
We consider the new divisor 59 and the new remainder 48,and apply the division lemma to get
59 = 48 x 1 + 11
We consider the new divisor 48 and the new remainder 11,and apply the division lemma to get
48 = 11 x 4 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 487 and 867 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(48,11) = HCF(59,48) = HCF(107,59) = HCF(380,107) = HCF(487,380) = HCF(867,487) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 408 > 1, we apply the division lemma to 408 and 1, to get
408 = 1 x 408 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 408 is 1
Notice that 1 = HCF(408,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 96 > 1, we apply the division lemma to 96 and 1, to get
96 = 1 x 96 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 96 is 1
Notice that 1 = HCF(96,1) .
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Frequently Asked Questions on HCF of 487, 867, 408, 96 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 487, 867, 408, 96?
Answer: HCF of 487, 867, 408, 96 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 487, 867, 408, 96 using Euclid's Algorithm?
Answer: For arbitrary numbers 487, 867, 408, 96 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.