Highest Common Factor of 1812, 1262 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 1812, 1262 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1812, 1262 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 1812, 1262 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 1812, 1262 is 2.
HCF(1812, 1262) = 2
HCF of 1812, 1262 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1812, 1262 is 2.
Highest Common Factor of 1812,1262 is 2
Step 1: Since 1812 > 1262, we apply the division lemma to 1812 and 1262, to get
1812 = 1262 x 1 + 550
Step 2: Since the reminder 1262 ≠ 0, we apply division lemma to 550 and 1262, to get
1262 = 550 x 2 + 162
Step 3: We consider the new divisor 550 and the new remainder 162, and apply the division lemma to get
550 = 162 x 3 + 64
We consider the new divisor 162 and the new remainder 64,and apply the division lemma to get
162 = 64 x 2 + 34
We consider the new divisor 64 and the new remainder 34,and apply the division lemma to get
64 = 34 x 1 + 30
We consider the new divisor 34 and the new remainder 30,and apply the division lemma to get
34 = 30 x 1 + 4
We consider the new divisor 30 and the new remainder 4,and apply the division lemma to get
30 = 4 x 7 + 2
We consider the new divisor 4 and the new remainder 2,and apply the division lemma to get
4 = 2 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1812 and 1262 is 2
Notice that 2 = HCF(4,2) = HCF(30,4) = HCF(34,30) = HCF(64,34) = HCF(162,64) = HCF(550,162) = HCF(1262,550) = HCF(1812,1262) .
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Frequently Asked Questions on HCF of 1812, 1262 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 1812, 1262?
Answer: HCF of 1812, 1262 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1812, 1262 using Euclid's Algorithm?
Answer: For arbitrary numbers 1812, 1262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.