Highest Common Factor of 4062, 5982 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 4062, 5982 i.e. 6 the largest integer that leaves a remainder zero for all numbers.
HCF of 4062, 5982 is 6 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 4062, 5982 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 4062, 5982 is 6.
HCF(4062, 5982) = 6
HCF of 4062, 5982 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 4062, 5982 is 6.
Highest Common Factor of 4062,5982 is 6
Step 1: Since 5982 > 4062, we apply the division lemma to 5982 and 4062, to get
5982 = 4062 x 1 + 1920
Step 2: Since the reminder 4062 ≠ 0, we apply division lemma to 1920 and 4062, to get
4062 = 1920 x 2 + 222
Step 3: We consider the new divisor 1920 and the new remainder 222, and apply the division lemma to get
1920 = 222 x 8 + 144
We consider the new divisor 222 and the new remainder 144,and apply the division lemma to get
222 = 144 x 1 + 78
We consider the new divisor 144 and the new remainder 78,and apply the division lemma to get
144 = 78 x 1 + 66
We consider the new divisor 78 and the new remainder 66,and apply the division lemma to get
78 = 66 x 1 + 12
We consider the new divisor 66 and the new remainder 12,and apply the division lemma to get
66 = 12 x 5 + 6
We consider the new divisor 12 and the new remainder 6,and apply the division lemma to get
12 = 6 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 6, the HCF of 4062 and 5982 is 6
Notice that 6 = HCF(12,6) = HCF(66,12) = HCF(78,66) = HCF(144,78) = HCF(222,144) = HCF(1920,222) = HCF(4062,1920) = HCF(5982,4062) .
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Frequently Asked Questions on HCF of 4062, 5982 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 4062, 5982?
Answer: HCF of 4062, 5982 is 6 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 4062, 5982 using Euclid's Algorithm?
Answer: For arbitrary numbers 4062, 5982 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.