Highest Common Factor of 584, 817, 102, 38 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 584, 817, 102, 38 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 584, 817, 102, 38 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 584, 817, 102, 38 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 584, 817, 102, 38 is 1.
HCF(584, 817, 102, 38) = 1
HCF of 584, 817, 102, 38 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 584, 817, 102, 38 is 1.
Highest Common Factor of 584,817,102,38 is 1
Step 1: Since 817 > 584, we apply the division lemma to 817 and 584, to get
817 = 584 x 1 + 233
Step 2: Since the reminder 584 ≠ 0, we apply division lemma to 233 and 584, to get
584 = 233 x 2 + 118
Step 3: We consider the new divisor 233 and the new remainder 118, and apply the division lemma to get
233 = 118 x 1 + 115
We consider the new divisor 118 and the new remainder 115,and apply the division lemma to get
118 = 115 x 1 + 3
We consider the new divisor 115 and the new remainder 3,and apply the division lemma to get
115 = 3 x 38 + 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 584 and 817 is 1
Notice that 1 = HCF(3,1) = HCF(115,3) = HCF(118,115) = HCF(233,118) = HCF(584,233) = HCF(817,584) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 102 > 1, we apply the division lemma to 102 and 1, to get
102 = 1 x 102 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 102 is 1
Notice that 1 = HCF(102,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38 > 1, we apply the division lemma to 38 and 1, to get
38 = 1 x 38 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 38 is 1
Notice that 1 = HCF(38,1) .
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Frequently Asked Questions on HCF of 584, 817, 102, 38 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 584, 817, 102, 38?
Answer: HCF of 584, 817, 102, 38 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 584, 817, 102, 38 using Euclid's Algorithm?
Answer: For arbitrary numbers 584, 817, 102, 38 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.