Highest Common Factor of 6442, 6851 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 6442, 6851 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6442, 6851 is 1 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 6442, 6851 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 6442, 6851 is 1.
HCF(6442, 6851) = 1
HCF of 6442, 6851 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6442, 6851 is 1.
Highest Common Factor of 6442,6851 is 1
Step 1: Since 6851 > 6442, we apply the division lemma to 6851 and 6442, to get
6851 = 6442 x 1 + 409
Step 2: Since the reminder 6442 ≠ 0, we apply division lemma to 409 and 6442, to get
6442 = 409 x 15 + 307
Step 3: We consider the new divisor 409 and the new remainder 307, and apply the division lemma to get
409 = 307 x 1 + 102
We consider the new divisor 307 and the new remainder 102,and apply the division lemma to get
307 = 102 x 3 + 1
We consider the new divisor 102 and the new remainder 1,and apply the division lemma to get
102 = 1 x 102 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6442 and 6851 is 1
Notice that 1 = HCF(102,1) = HCF(307,102) = HCF(409,307) = HCF(6442,409) = HCF(6851,6442) .
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Frequently Asked Questions on HCF of 6442, 6851 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 6442, 6851?
Answer: HCF of 6442, 6851 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6442, 6851 using Euclid's Algorithm?
Answer: For arbitrary numbers 6442, 6851 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
