Highest Common Factor of 628, 18596 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 628, 18596 i.e. 4 the largest integer that leaves a remainder zero for all numbers.
HCF of 628, 18596 is 4 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 628, 18596 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 628, 18596 is 4.
HCF(628, 18596) = 4
HCF of 628, 18596 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 628, 18596 is 4.
Highest Common Factor of 628,18596 is 4
Step 1: Since 18596 > 628, we apply the division lemma to 18596 and 628, to get
18596 = 628 x 29 + 384
Step 2: Since the reminder 628 ≠ 0, we apply division lemma to 384 and 628, to get
628 = 384 x 1 + 244
Step 3: We consider the new divisor 384 and the new remainder 244, and apply the division lemma to get
384 = 244 x 1 + 140
We consider the new divisor 244 and the new remainder 140,and apply the division lemma to get
244 = 140 x 1 + 104
We consider the new divisor 140 and the new remainder 104,and apply the division lemma to get
140 = 104 x 1 + 36
We consider the new divisor 104 and the new remainder 36,and apply the division lemma to get
104 = 36 x 2 + 32
We consider the new divisor 36 and the new remainder 32,and apply the division lemma to get
36 = 32 x 1 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 628 and 18596 is 4
Notice that 4 = HCF(32,4) = HCF(36,32) = HCF(104,36) = HCF(140,104) = HCF(244,140) = HCF(384,244) = HCF(628,384) = HCF(18596,628) .
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Frequently Asked Questions on HCF of 628, 18596 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 628, 18596?
Answer: HCF of 628, 18596 is 4 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 628, 18596 using Euclid's Algorithm?
Answer: For arbitrary numbers 628, 18596 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
