Highest Common Factor of 6842, 2472 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 6842, 2472 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 6842, 2472 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 6842, 2472 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 6842, 2472 is 2.
HCF(6842, 2472) = 2
HCF of 6842, 2472 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6842, 2472 is 2.
Highest Common Factor of 6842,2472 is 2
Step 1: Since 6842 > 2472, we apply the division lemma to 6842 and 2472, to get
6842 = 2472 x 2 + 1898
Step 2: Since the reminder 2472 ≠ 0, we apply division lemma to 1898 and 2472, to get
2472 = 1898 x 1 + 574
Step 3: We consider the new divisor 1898 and the new remainder 574, and apply the division lemma to get
1898 = 574 x 3 + 176
We consider the new divisor 574 and the new remainder 176,and apply the division lemma to get
574 = 176 x 3 + 46
We consider the new divisor 176 and the new remainder 46,and apply the division lemma to get
176 = 46 x 3 + 38
We consider the new divisor 46 and the new remainder 38,and apply the division lemma to get
46 = 38 x 1 + 8
We consider the new divisor 38 and the new remainder 8,and apply the division lemma to get
38 = 8 x 4 + 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 6842 and 2472 is 2
Notice that 2 = HCF(6,2) = HCF(8,6) = HCF(38,8) = HCF(46,38) = HCF(176,46) = HCF(574,176) = HCF(1898,574) = HCF(2472,1898) = HCF(6842,2472) .
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Frequently Asked Questions on HCF of 6842, 2472 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 6842, 2472?
Answer: HCF of 6842, 2472 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6842, 2472 using Euclid's Algorithm?
Answer: For arbitrary numbers 6842, 2472 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.