Highest Common Factor of 6637, 1089 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 6637, 1089 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6637, 1089 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 6637, 1089 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 6637, 1089 is 1.
HCF(6637, 1089) = 1
HCF of 6637, 1089 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6637, 1089 is 1.
Highest Common Factor of 6637,1089 is 1
Step 1: Since 6637 > 1089, we apply the division lemma to 6637 and 1089, to get
6637 = 1089 x 6 + 103
Step 2: Since the reminder 1089 ≠ 0, we apply division lemma to 103 and 1089, to get
1089 = 103 x 10 + 59
Step 3: We consider the new divisor 103 and the new remainder 59, and apply the division lemma to get
103 = 59 x 1 + 44
We consider the new divisor 59 and the new remainder 44,and apply the division lemma to get
59 = 44 x 1 + 15
We consider the new divisor 44 and the new remainder 15,and apply the division lemma to get
44 = 15 x 2 + 14
We consider the new divisor 15 and the new remainder 14,and apply the division lemma to get
15 = 14 x 1 + 1
We consider the new divisor 14 and the new remainder 1,and apply the division lemma to get
14 = 1 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6637 and 1089 is 1
Notice that 1 = HCF(14,1) = HCF(15,14) = HCF(44,15) = HCF(59,44) = HCF(103,59) = HCF(1089,103) = HCF(6637,1089) .
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Frequently Asked Questions on HCF of 6637, 1089 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 6637, 1089?
Answer: HCF of 6637, 1089 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6637, 1089 using Euclid's Algorithm?
Answer: For arbitrary numbers 6637, 1089 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
