Highest Common Factor of 6803, 1873 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 6803, 1873 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6803, 1873 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 6803, 1873 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 6803, 1873 is 1.
HCF(6803, 1873) = 1
HCF of 6803, 1873 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6803, 1873 is 1.
Highest Common Factor of 6803,1873 is 1
Step 1: Since 6803 > 1873, we apply the division lemma to 6803 and 1873, to get
6803 = 1873 x 3 + 1184
Step 2: Since the reminder 1873 ≠ 0, we apply division lemma to 1184 and 1873, to get
1873 = 1184 x 1 + 689
Step 3: We consider the new divisor 1184 and the new remainder 689, and apply the division lemma to get
1184 = 689 x 1 + 495
We consider the new divisor 689 and the new remainder 495,and apply the division lemma to get
689 = 495 x 1 + 194
We consider the new divisor 495 and the new remainder 194,and apply the division lemma to get
495 = 194 x 2 + 107
We consider the new divisor 194 and the new remainder 107,and apply the division lemma to get
194 = 107 x 1 + 87
We consider the new divisor 107 and the new remainder 87,and apply the division lemma to get
107 = 87 x 1 + 20
We consider the new divisor 87 and the new remainder 20,and apply the division lemma to get
87 = 20 x 4 + 7
We consider the new divisor 20 and the new remainder 7,and apply the division lemma to get
20 = 7 x 2 + 6
We consider the new divisor 7 and the new remainder 6,and apply the division lemma to get
7 = 6 x 1 + 1
We consider the new divisor 6 and the new remainder 1,and apply the division lemma to get
6 = 1 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6803 and 1873 is 1
Notice that 1 = HCF(6,1) = HCF(7,6) = HCF(20,7) = HCF(87,20) = HCF(107,87) = HCF(194,107) = HCF(495,194) = HCF(689,495) = HCF(1184,689) = HCF(1873,1184) = HCF(6803,1873) .
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Frequently Asked Questions on HCF of 6803, 1873 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 6803, 1873?
Answer: HCF of 6803, 1873 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6803, 1873 using Euclid's Algorithm?
Answer: For arbitrary numbers 6803, 1873 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.