Highest Common Factor of 6786, 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 6786, 1262 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6786, 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 6786, 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 6786, 1262 is 2.
HCF(6786, 1262) = 2
HCF of 6786, 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 6786, 1262 is 2.
Highest Common Factor of 6786,1262 is 2
Step 1: Since 6786 > 1262, we apply the division lemma to 6786 and 1262, to get
6786 = 1262 x 5 + 476
Step 2: Since the reminder 1262 ≠ 0, we apply division lemma to 476 and 1262, to get
1262 = 476 x 2 + 310
Step 3: We consider the new divisor 476 and the new remainder 310, and apply the division lemma to get
476 = 310 x 1 + 166
We consider the new divisor 310 and the new remainder 166,and apply the division lemma to get
310 = 166 x 1 + 144
We consider the new divisor 166 and the new remainder 144,and apply the division lemma to get
166 = 144 x 1 + 22
We consider the new divisor 144 and the new remainder 22,and apply the division lemma to get
144 = 22 x 6 + 12
We consider the new divisor 22 and the new remainder 12,and apply the division lemma to get
22 = 12 x 1 + 10
We consider the new divisor 12 and the new remainder 10,and apply the division lemma to get
12 = 10 x 1 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 6786 and 1262 is 2
Notice that 2 = HCF(10,2) = HCF(12,10) = HCF(22,12) = HCF(144,22) = HCF(166,144) = HCF(310,166) = HCF(476,310) = HCF(1262,476) = HCF(6786,1262) .
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Frequently Asked Questions on HCF of 6786, 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 6786, 1262?
Answer: HCF of 6786, 1262 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6786, 1262 using Euclid's Algorithm?
Answer: For arbitrary numbers 6786, 1262 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.