Highest Common Factor of 433, 756, 95, 867 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 433, 756, 95, 867 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 433, 756, 95, 867 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 433, 756, 95, 867 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 433, 756, 95, 867 is 1.
HCF(433, 756, 95, 867) = 1
HCF of 433, 756, 95, 867 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 433, 756, 95, 867 is 1.
Highest Common Factor of 433,756,95,867 is 1
Step 1: Since 756 > 433, we apply the division lemma to 756 and 433, to get
756 = 433 x 1 + 323
Step 2: Since the reminder 433 ≠ 0, we apply division lemma to 323 and 433, to get
433 = 323 x 1 + 110
Step 3: We consider the new divisor 323 and the new remainder 110, and apply the division lemma to get
323 = 110 x 2 + 103
We consider the new divisor 110 and the new remainder 103,and apply the division lemma to get
110 = 103 x 1 + 7
We consider the new divisor 103 and the new remainder 7,and apply the division lemma to get
103 = 7 x 14 + 5
We consider the new divisor 7 and the new remainder 5,and apply the division lemma to get
7 = 5 x 1 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 433 and 756 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(7,5) = HCF(103,7) = HCF(110,103) = HCF(323,110) = HCF(433,323) = HCF(756,433) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 95 > 1, we apply the division lemma to 95 and 1, to get
95 = 1 x 95 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 95 is 1
Notice that 1 = HCF(95,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 867 > 1, we apply the division lemma to 867 and 1, to get
867 = 1 x 867 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 867 is 1
Notice that 1 = HCF(867,1) .
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Frequently Asked Questions on HCF of 433, 756, 95, 867 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 433, 756, 95, 867?
Answer: HCF of 433, 756, 95, 867 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 433, 756, 95, 867 using Euclid's Algorithm?
Answer: For arbitrary numbers 433, 756, 95, 867 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
