Highest Common Factor of 388, 134, 723, 899 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 388, 134, 723, 899 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 388, 134, 723, 899 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 388, 134, 723, 899 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 388, 134, 723, 899 is 1.
HCF(388, 134, 723, 899) = 1
HCF of 388, 134, 723, 899 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 388, 134, 723, 899 is 1.
Highest Common Factor of 388,134,723,899 is 1
Step 1: Since 388 > 134, we apply the division lemma to 388 and 134, to get
388 = 134 x 2 + 120
Step 2: Since the reminder 134 ≠ 0, we apply division lemma to 120 and 134, to get
134 = 120 x 1 + 14
Step 3: We consider the new divisor 120 and the new remainder 14, and apply the division lemma to get
120 = 14 x 8 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 388 and 134 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(120,14) = HCF(134,120) = HCF(388,134) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 723 > 2, we apply the division lemma to 723 and 2, to get
723 = 2 x 361 + 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 723 is 1
Notice that 1 = HCF(2,1) = HCF(723,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 899 > 1, we apply the division lemma to 899 and 1, to get
899 = 1 x 899 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 899 is 1
Notice that 1 = HCF(899,1) .
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Frequently Asked Questions on HCF of 388, 134, 723, 899 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 388, 134, 723, 899?
Answer: HCF of 388, 134, 723, 899 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 388, 134, 723, 899 using Euclid's Algorithm?
Answer: For arbitrary numbers 388, 134, 723, 899 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.