Highest Common Factor of 8742, 1462 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 8742, 1462 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 8742, 1462 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 8742, 1462 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 8742, 1462 is 2.
HCF(8742, 1462) = 2
HCF of 8742, 1462 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8742, 1462 is 2.
Highest Common Factor of 8742,1462 is 2
Step 1: Since 8742 > 1462, we apply the division lemma to 8742 and 1462, to get
8742 = 1462 x 5 + 1432
Step 2: Since the reminder 1462 ≠ 0, we apply division lemma to 1432 and 1462, to get
1462 = 1432 x 1 + 30
Step 3: We consider the new divisor 1432 and the new remainder 30, and apply the division lemma to get
1432 = 30 x 47 + 22
We consider the new divisor 30 and the new remainder 22,and apply the division lemma to get
30 = 22 x 1 + 8
We consider the new divisor 22 and the new remainder 8,and apply the division lemma to get
22 = 8 x 2 + 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 8742 and 1462 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(22,8) = HCF(30,22) = HCF(1432,30) = HCF(1462,1432) = HCF(8742,1462) .
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Frequently Asked Questions on HCF of 8742, 1462 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 8742, 1462?
Answer: HCF of 8742, 1462 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8742, 1462 using Euclid's Algorithm?
Answer: For arbitrary numbers 8742, 1462 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.