Highest Common Factor of 6691, 1263 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 6691, 1263 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6691, 1263 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 6691, 1263 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 6691, 1263 is 1.
HCF(6691, 1263) = 1
HCF of 6691, 1263 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6691, 1263 is 1.
Highest Common Factor of 6691,1263 is 1
Step 1: Since 6691 > 1263, we apply the division lemma to 6691 and 1263, to get
6691 = 1263 x 5 + 376
Step 2: Since the reminder 1263 ≠ 0, we apply division lemma to 376 and 1263, to get
1263 = 376 x 3 + 135
Step 3: We consider the new divisor 376 and the new remainder 135, and apply the division lemma to get
376 = 135 x 2 + 106
We consider the new divisor 135 and the new remainder 106,and apply the division lemma to get
135 = 106 x 1 + 29
We consider the new divisor 106 and the new remainder 29,and apply the division lemma to get
106 = 29 x 3 + 19
We consider the new divisor 29 and the new remainder 19,and apply the division lemma to get
29 = 19 x 1 + 10
We consider the new divisor 19 and the new remainder 10,and apply the division lemma to get
19 = 10 x 1 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6691 and 1263 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(19,10) = HCF(29,19) = HCF(106,29) = HCF(135,106) = HCF(376,135) = HCF(1263,376) = HCF(6691,1263) .
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Frequently Asked Questions on HCF of 6691, 1263 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 6691, 1263?
Answer: HCF of 6691, 1263 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6691, 1263 using Euclid's Algorithm?
Answer: For arbitrary numbers 6691, 1263 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
