Highest Common Factor of 6627, 1183 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 6627, 1183 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6627, 1183 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 6627, 1183 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 6627, 1183 is 1.
HCF(6627, 1183) = 1
HCF of 6627, 1183 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6627, 1183 is 1.
Highest Common Factor of 6627,1183 is 1
Step 1: Since 6627 > 1183, we apply the division lemma to 6627 and 1183, to get
6627 = 1183 x 5 + 712
Step 2: Since the reminder 1183 ≠ 0, we apply division lemma to 712 and 1183, to get
1183 = 712 x 1 + 471
Step 3: We consider the new divisor 712 and the new remainder 471, and apply the division lemma to get
712 = 471 x 1 + 241
We consider the new divisor 471 and the new remainder 241,and apply the division lemma to get
471 = 241 x 1 + 230
We consider the new divisor 241 and the new remainder 230,and apply the division lemma to get
241 = 230 x 1 + 11
We consider the new divisor 230 and the new remainder 11,and apply the division lemma to get
230 = 11 x 20 + 10
We consider the new divisor 11 and the new remainder 10,and apply the division lemma to get
11 = 10 x 1 + 1
We consider the new divisor 10 and the new remainder 1,and apply the division lemma to get
10 = 1 x 10 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6627 and 1183 is 1
Notice that 1 = HCF(10,1) = HCF(11,10) = HCF(230,11) = HCF(241,230) = HCF(471,241) = HCF(712,471) = HCF(1183,712) = HCF(6627,1183) .
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Frequently Asked Questions on HCF of 6627, 1183 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 6627, 1183?
Answer: HCF of 6627, 1183 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6627, 1183 using Euclid's Algorithm?
Answer: For arbitrary numbers 6627, 1183 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.