Highest Common Factor of 4191, 2202 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 4191, 2202 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 4191, 2202 is 3 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 4191, 2202 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 4191, 2202 is 3.
HCF(4191, 2202) = 3
HCF of 4191, 2202 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4191, 2202 is 3.
Highest Common Factor of 4191,2202 is 3
Step 1: Since 4191 > 2202, we apply the division lemma to 4191 and 2202, to get
4191 = 2202 x 1 + 1989
Step 2: Since the reminder 2202 ≠ 0, we apply division lemma to 1989 and 2202, to get
2202 = 1989 x 1 + 213
Step 3: We consider the new divisor 1989 and the new remainder 213, and apply the division lemma to get
1989 = 213 x 9 + 72
We consider the new divisor 213 and the new remainder 72,and apply the division lemma to get
213 = 72 x 2 + 69
We consider the new divisor 72 and the new remainder 69,and apply the division lemma to get
72 = 69 x 1 + 3
We consider the new divisor 69 and the new remainder 3,and apply the division lemma to get
69 = 3 x 23 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 4191 and 2202 is 3
Notice that 3 = HCF(69,3) = HCF(72,69) = HCF(213,72) = HCF(1989,213) = HCF(2202,1989) = HCF(4191,2202) .
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Frequently Asked Questions on HCF of 4191, 2202 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 4191, 2202?
Answer: HCF of 4191, 2202 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4191, 2202 using Euclid's Algorithm?
Answer: For arbitrary numbers 4191, 2202 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.