Highest Common Factor of 6709, 8446 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 6709, 8446 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6709, 8446 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 6709, 8446 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 6709, 8446 is 1.
HCF(6709, 8446) = 1
HCF of 6709, 8446 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6709, 8446 is 1.
Highest Common Factor of 6709,8446 is 1
Step 1: Since 8446 > 6709, we apply the division lemma to 8446 and 6709, to get
8446 = 6709 x 1 + 1737
Step 2: Since the reminder 6709 ≠ 0, we apply division lemma to 1737 and 6709, to get
6709 = 1737 x 3 + 1498
Step 3: We consider the new divisor 1737 and the new remainder 1498, and apply the division lemma to get
1737 = 1498 x 1 + 239
We consider the new divisor 1498 and the new remainder 239,and apply the division lemma to get
1498 = 239 x 6 + 64
We consider the new divisor 239 and the new remainder 64,and apply the division lemma to get
239 = 64 x 3 + 47
We consider the new divisor 64 and the new remainder 47,and apply the division lemma to get
64 = 47 x 1 + 17
We consider the new divisor 47 and the new remainder 17,and apply the division lemma to get
47 = 17 x 2 + 13
We consider the new divisor 17 and the new remainder 13,and apply the division lemma to get
17 = 13 x 1 + 4
We consider the new divisor 13 and the new remainder 4,and apply the division lemma to get
13 = 4 x 3 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6709 and 8446 is 1
Notice that 1 = HCF(4,1) = HCF(13,4) = HCF(17,13) = HCF(47,17) = HCF(64,47) = HCF(239,64) = HCF(1498,239) = HCF(1737,1498) = HCF(6709,1737) = HCF(8446,6709) .
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Frequently Asked Questions on HCF of 6709, 8446 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 6709, 8446?
Answer: HCF of 6709, 8446 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6709, 8446 using Euclid's Algorithm?
Answer: For arbitrary numbers 6709, 8446 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
