Highest Common Factor of 846, 14062 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 846, 14062 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 846, 14062 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 846, 14062 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 846, 14062 is 2.
HCF(846, 14062) = 2
HCF of 846, 14062 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 846, 14062 is 2.
Highest Common Factor of 846,14062 is 2
Step 1: Since 14062 > 846, we apply the division lemma to 14062 and 846, to get
14062 = 846 x 16 + 526
Step 2: Since the reminder 846 ≠ 0, we apply division lemma to 526 and 846, to get
846 = 526 x 1 + 320
Step 3: We consider the new divisor 526 and the new remainder 320, and apply the division lemma to get
526 = 320 x 1 + 206
We consider the new divisor 320 and the new remainder 206,and apply the division lemma to get
320 = 206 x 1 + 114
We consider the new divisor 206 and the new remainder 114,and apply the division lemma to get
206 = 114 x 1 + 92
We consider the new divisor 114 and the new remainder 92,and apply the division lemma to get
114 = 92 x 1 + 22
We consider the new divisor 92 and the new remainder 22,and apply the division lemma to get
92 = 22 x 4 + 4
We consider the new divisor 22 and the new remainder 4,and apply the division lemma to get
22 = 4 x 5 + 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 846 and 14062 is 2
Notice that 2 = HCF(4,2) = HCF(22,4) = HCF(92,22) = HCF(114,92) = HCF(206,114) = HCF(320,206) = HCF(526,320) = HCF(846,526) = HCF(14062,846) .
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Frequently Asked Questions on HCF of 846, 14062 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 846, 14062?
Answer: HCF of 846, 14062 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 846, 14062 using Euclid's Algorithm?
Answer: For arbitrary numbers 846, 14062 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.