Highest Common Factor of 623, 452, 732, 112 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 623, 452, 732, 112 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 623, 452, 732, 112 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 623, 452, 732, 112 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 623, 452, 732, 112 is 1.
HCF(623, 452, 732, 112) = 1
HCF of 623, 452, 732, 112 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 623, 452, 732, 112 is 1.
Highest Common Factor of 623,452,732,112 is 1
Step 1: Since 623 > 452, we apply the division lemma to 623 and 452, to get
623 = 452 x 1 + 171
Step 2: Since the reminder 452 ≠ 0, we apply division lemma to 171 and 452, to get
452 = 171 x 2 + 110
Step 3: We consider the new divisor 171 and the new remainder 110, and apply the division lemma to get
171 = 110 x 1 + 61
We consider the new divisor 110 and the new remainder 61,and apply the division lemma to get
110 = 61 x 1 + 49
We consider the new divisor 61 and the new remainder 49,and apply the division lemma to get
61 = 49 x 1 + 12
We consider the new divisor 49 and the new remainder 12,and apply the division lemma to get
49 = 12 x 4 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 623 and 452 is 1
Notice that 1 = HCF(12,1) = HCF(49,12) = HCF(61,49) = HCF(110,61) = HCF(171,110) = HCF(452,171) = HCF(623,452) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 732 > 1, we apply the division lemma to 732 and 1, to get
732 = 1 x 732 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 732 is 1
Notice that 1 = HCF(732,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 112 > 1, we apply the division lemma to 112 and 1, to get
112 = 1 x 112 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 112 is 1
Notice that 1 = HCF(112,1) .
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Frequently Asked Questions on HCF of 623, 452, 732, 112 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 623, 452, 732, 112?
Answer: HCF of 623, 452, 732, 112 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 623, 452, 732, 112 using Euclid's Algorithm?
Answer: For arbitrary numbers 623, 452, 732, 112 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.