Highest Common Factor of 1805, 6688 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 1805, 6688 i.e. 19 the largest integer that leaves a remainder zero for all numbers.
HCF of 1805, 6688 is 19 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 1805, 6688 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 1805, 6688 is 19.
HCF(1805, 6688) = 19
HCF of 1805, 6688 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1805, 6688 is 19.
Highest Common Factor of 1805,6688 is 19
Step 1: Since 6688 > 1805, we apply the division lemma to 6688 and 1805, to get
6688 = 1805 x 3 + 1273
Step 2: Since the reminder 1805 ≠ 0, we apply division lemma to 1273 and 1805, to get
1805 = 1273 x 1 + 532
Step 3: We consider the new divisor 1273 and the new remainder 532, and apply the division lemma to get
1273 = 532 x 2 + 209
We consider the new divisor 532 and the new remainder 209,and apply the division lemma to get
532 = 209 x 2 + 114
We consider the new divisor 209 and the new remainder 114,and apply the division lemma to get
209 = 114 x 1 + 95
We consider the new divisor 114 and the new remainder 95,and apply the division lemma to get
114 = 95 x 1 + 19
We consider the new divisor 95 and the new remainder 19,and apply the division lemma to get
95 = 19 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 19, the HCF of 1805 and 6688 is 19
Notice that 19 = HCF(95,19) = HCF(114,95) = HCF(209,114) = HCF(532,209) = HCF(1273,532) = HCF(1805,1273) = HCF(6688,1805) .
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Frequently Asked Questions on HCF of 1805, 6688 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 1805, 6688?
Answer: HCF of 1805, 6688 is 19 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1805, 6688 using Euclid's Algorithm?
Answer: For arbitrary numbers 1805, 6688 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.