Highest Common Factor of 7346, 6162 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 7346, 6162 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 7346, 6162 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 7346, 6162 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 7346, 6162 is 2.
HCF(7346, 6162) = 2
HCF of 7346, 6162 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7346, 6162 is 2.
Highest Common Factor of 7346,6162 is 2
Step 1: Since 7346 > 6162, we apply the division lemma to 7346 and 6162, to get
7346 = 6162 x 1 + 1184
Step 2: Since the reminder 6162 ≠ 0, we apply division lemma to 1184 and 6162, to get
6162 = 1184 x 5 + 242
Step 3: We consider the new divisor 1184 and the new remainder 242, and apply the division lemma to get
1184 = 242 x 4 + 216
We consider the new divisor 242 and the new remainder 216,and apply the division lemma to get
242 = 216 x 1 + 26
We consider the new divisor 216 and the new remainder 26,and apply the division lemma to get
216 = 26 x 8 + 8
We consider the new divisor 26 and the new remainder 8,and apply the division lemma to get
26 = 8 x 3 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 7346 and 6162 is 2
Notice that 2 = HCF(8,2) = HCF(26,8) = HCF(216,26) = HCF(242,216) = HCF(1184,242) = HCF(6162,1184) = HCF(7346,6162) .
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Frequently Asked Questions on HCF of 7346, 6162 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 7346, 6162?
Answer: HCF of 7346, 6162 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7346, 6162 using Euclid's Algorithm?
Answer: For arbitrary numbers 7346, 6162 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.