Highest Common Factor of 6230, 1942 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 6230, 1942 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6230, 1942 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 6230, 1942 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 6230, 1942 is 2.
HCF(6230, 1942) = 2
HCF of 6230, 1942 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6230, 1942 is 2.
Highest Common Factor of 6230,1942 is 2
Step 1: Since 6230 > 1942, we apply the division lemma to 6230 and 1942, to get
6230 = 1942 x 3 + 404
Step 2: Since the reminder 1942 ≠ 0, we apply division lemma to 404 and 1942, to get
1942 = 404 x 4 + 326
Step 3: We consider the new divisor 404 and the new remainder 326, and apply the division lemma to get
404 = 326 x 1 + 78
We consider the new divisor 326 and the new remainder 78,and apply the division lemma to get
326 = 78 x 4 + 14
We consider the new divisor 78 and the new remainder 14,and apply the division lemma to get
78 = 14 x 5 + 8
We consider the new divisor 14 and the new remainder 8,and apply the division lemma to get
14 = 8 x 1 + 6
We consider the new divisor 8 and the new remainder 6,and apply the division lemma to get
8 = 6 x 1 + 2
We consider the new divisor 6 and the new remainder 2,and apply the division lemma to get
6 = 2 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6230 and 1942 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(14,8) = HCF(78,14) = HCF(326,78) = HCF(404,326) = HCF(1942,404) = HCF(6230,1942) .
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Frequently Asked Questions on HCF of 6230, 1942 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 6230, 1942?
Answer: HCF of 6230, 1942 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6230, 1942 using Euclid's Algorithm?
Answer: For arbitrary numbers 6230, 1942 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.