Highest Common Factor of 4188, 3830 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 4188, 3830 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 4188, 3830 is 2 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 4188, 3830 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 4188, 3830 is 2.
HCF(4188, 3830) = 2
HCF of 4188, 3830 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4188, 3830 is 2.
Highest Common Factor of 4188,3830 is 2
Step 1: Since 4188 > 3830, we apply the division lemma to 4188 and 3830, to get
4188 = 3830 x 1 + 358
Step 2: Since the reminder 3830 ≠ 0, we apply division lemma to 358 and 3830, to get
3830 = 358 x 10 + 250
Step 3: We consider the new divisor 358 and the new remainder 250, and apply the division lemma to get
358 = 250 x 1 + 108
We consider the new divisor 250 and the new remainder 108,and apply the division lemma to get
250 = 108 x 2 + 34
We consider the new divisor 108 and the new remainder 34,and apply the division lemma to get
108 = 34 x 3 + 6
We consider the new divisor 34 and the new remainder 6,and apply the division lemma to get
34 = 6 x 5 + 4
We consider the new divisor 6 and the new remainder 4,and apply the division lemma to get
6 = 4 x 1 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 4188 and 3830 is 2
Notice that 2 = HCF(4,2) = HCF(6,4) = HCF(34,6) = HCF(108,34) = HCF(250,108) = HCF(358,250) = HCF(3830,358) = HCF(4188,3830) .
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Frequently Asked Questions on HCF of 4188, 3830 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 4188, 3830?
Answer: HCF of 4188, 3830 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4188, 3830 using Euclid's Algorithm?
Answer: For arbitrary numbers 4188, 3830 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.