Highest Common Factor of 8336, 6845 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 8336, 6845 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8336, 6845 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 8336, 6845 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 8336, 6845 is 1.
HCF(8336, 6845) = 1
HCF of 8336, 6845 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8336, 6845 is 1.
Highest Common Factor of 8336,6845 is 1
Step 1: Since 8336 > 6845, we apply the division lemma to 8336 and 6845, to get
8336 = 6845 x 1 + 1491
Step 2: Since the reminder 6845 ≠ 0, we apply division lemma to 1491 and 6845, to get
6845 = 1491 x 4 + 881
Step 3: We consider the new divisor 1491 and the new remainder 881, and apply the division lemma to get
1491 = 881 x 1 + 610
We consider the new divisor 881 and the new remainder 610,and apply the division lemma to get
881 = 610 x 1 + 271
We consider the new divisor 610 and the new remainder 271,and apply the division lemma to get
610 = 271 x 2 + 68
We consider the new divisor 271 and the new remainder 68,and apply the division lemma to get
271 = 68 x 3 + 67
We consider the new divisor 68 and the new remainder 67,and apply the division lemma to get
68 = 67 x 1 + 1
We consider the new divisor 67 and the new remainder 1,and apply the division lemma to get
67 = 1 x 67 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8336 and 6845 is 1
Notice that 1 = HCF(67,1) = HCF(68,67) = HCF(271,68) = HCF(610,271) = HCF(881,610) = HCF(1491,881) = HCF(6845,1491) = HCF(8336,6845) .
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Frequently Asked Questions on HCF of 8336, 6845 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 8336, 6845?
Answer: HCF of 8336, 6845 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8336, 6845 using Euclid's Algorithm?
Answer: For arbitrary numbers 8336, 6845 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.