Highest Common Factor of 4198, 1639 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 4198, 1639 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 4198, 1639 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 4198, 1639 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 4198, 1639 is 1.
HCF(4198, 1639) = 1
HCF of 4198, 1639 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4198, 1639 is 1.
Highest Common Factor of 4198,1639 is 1
Step 1: Since 4198 > 1639, we apply the division lemma to 4198 and 1639, to get
4198 = 1639 x 2 + 920
Step 2: Since the reminder 1639 ≠ 0, we apply division lemma to 920 and 1639, to get
1639 = 920 x 1 + 719
Step 3: We consider the new divisor 920 and the new remainder 719, and apply the division lemma to get
920 = 719 x 1 + 201
We consider the new divisor 719 and the new remainder 201,and apply the division lemma to get
719 = 201 x 3 + 116
We consider the new divisor 201 and the new remainder 116,and apply the division lemma to get
201 = 116 x 1 + 85
We consider the new divisor 116 and the new remainder 85,and apply the division lemma to get
116 = 85 x 1 + 31
We consider the new divisor 85 and the new remainder 31,and apply the division lemma to get
85 = 31 x 2 + 23
We consider the new divisor 31 and the new remainder 23,and apply the division lemma to get
31 = 23 x 1 + 8
We consider the new divisor 23 and the new remainder 8,and apply the division lemma to get
23 = 8 x 2 + 7
We consider the new divisor 8 and the new remainder 7,and apply the division lemma to get
8 = 7 x 1 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4198 and 1639 is 1
Notice that 1 = HCF(7,1) = HCF(8,7) = HCF(23,8) = HCF(31,23) = HCF(85,31) = HCF(116,85) = HCF(201,116) = HCF(719,201) = HCF(920,719) = HCF(1639,920) = HCF(4198,1639) .
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Frequently Asked Questions on HCF of 4198, 1639 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 4198, 1639?
Answer: HCF of 4198, 1639 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4198, 1639 using Euclid's Algorithm?
Answer: For arbitrary numbers 4198, 1639 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
