Highest Common Factor of 1801, 6709 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 1801, 6709 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1801, 6709 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 1801, 6709 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 1801, 6709 is 1.
HCF(1801, 6709) = 1
HCF of 1801, 6709 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1801, 6709 is 1.
Highest Common Factor of 1801,6709 is 1
Step 1: Since 6709 > 1801, we apply the division lemma to 6709 and 1801, to get
6709 = 1801 x 3 + 1306
Step 2: Since the reminder 1801 ≠ 0, we apply division lemma to 1306 and 1801, to get
1801 = 1306 x 1 + 495
Step 3: We consider the new divisor 1306 and the new remainder 495, and apply the division lemma to get
1306 = 495 x 2 + 316
We consider the new divisor 495 and the new remainder 316,and apply the division lemma to get
495 = 316 x 1 + 179
We consider the new divisor 316 and the new remainder 179,and apply the division lemma to get
316 = 179 x 1 + 137
We consider the new divisor 179 and the new remainder 137,and apply the division lemma to get
179 = 137 x 1 + 42
We consider the new divisor 137 and the new remainder 42,and apply the division lemma to get
137 = 42 x 3 + 11
We consider the new divisor 42 and the new remainder 11,and apply the division lemma to get
42 = 11 x 3 + 9
We consider the new divisor 11 and the new remainder 9,and apply the division lemma to get
11 = 9 x 1 + 2
We consider the new divisor 9 and the new remainder 2,and apply the division lemma to get
9 = 2 x 4 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1801 and 6709 is 1
Notice that 1 = HCF(2,1) = HCF(9,2) = HCF(11,9) = HCF(42,11) = HCF(137,42) = HCF(179,137) = HCF(316,179) = HCF(495,316) = HCF(1306,495) = HCF(1801,1306) = HCF(6709,1801) .
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Frequently Asked Questions on HCF of 1801, 6709 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 1801, 6709?
Answer: HCF of 1801, 6709 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1801, 6709 using Euclid's Algorithm?
Answer: For arbitrary numbers 1801, 6709 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
