Highest Common Factor of 8430, 3772 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 8430, 3772 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8430, 3772 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 8430, 3772 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 8430, 3772 is 2.
HCF(8430, 3772) = 2
HCF of 8430, 3772 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8430, 3772 is 2.
Highest Common Factor of 8430,3772 is 2
Step 1: Since 8430 > 3772, we apply the division lemma to 8430 and 3772, to get
8430 = 3772 x 2 + 886
Step 2: Since the reminder 3772 ≠ 0, we apply division lemma to 886 and 3772, to get
3772 = 886 x 4 + 228
Step 3: We consider the new divisor 886 and the new remainder 228, and apply the division lemma to get
886 = 228 x 3 + 202
We consider the new divisor 228 and the new remainder 202,and apply the division lemma to get
228 = 202 x 1 + 26
We consider the new divisor 202 and the new remainder 26,and apply the division lemma to get
202 = 26 x 7 + 20
We consider the new divisor 26 and the new remainder 20,and apply the division lemma to get
26 = 20 x 1 + 6
We consider the new divisor 20 and the new remainder 6,and apply the division lemma to get
20 = 6 x 3 + 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 8430 and 3772 is 2
Notice that 2 = HCF(6,2) = HCF(20,6) = HCF(26,20) = HCF(202,26) = HCF(228,202) = HCF(886,228) = HCF(3772,886) = HCF(8430,3772) .
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Frequently Asked Questions on HCF of 8430, 3772 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 8430, 3772?
Answer: HCF of 8430, 3772 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8430, 3772 using Euclid's Algorithm?
Answer: For arbitrary numbers 8430, 3772 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.