Highest Common Factor of 1007, 6603 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 1007, 6603 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1007, 6603 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 1007, 6603 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 1007, 6603 is 1.
HCF(1007, 6603) = 1
HCF of 1007, 6603 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1007, 6603 is 1.
Highest Common Factor of 1007,6603 is 1
Step 1: Since 6603 > 1007, we apply the division lemma to 6603 and 1007, to get
6603 = 1007 x 6 + 561
Step 2: Since the reminder 1007 ≠ 0, we apply division lemma to 561 and 1007, to get
1007 = 561 x 1 + 446
Step 3: We consider the new divisor 561 and the new remainder 446, and apply the division lemma to get
561 = 446 x 1 + 115
We consider the new divisor 446 and the new remainder 115,and apply the division lemma to get
446 = 115 x 3 + 101
We consider the new divisor 115 and the new remainder 101,and apply the division lemma to get
115 = 101 x 1 + 14
We consider the new divisor 101 and the new remainder 14,and apply the division lemma to get
101 = 14 x 7 + 3
We consider the new divisor 14 and the new remainder 3,and apply the division lemma to get
14 = 3 x 4 + 2
We consider the new divisor 3 and the new remainder 2,and apply the division lemma to get
3 = 2 x 1 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1007 and 6603 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(14,3) = HCF(101,14) = HCF(115,101) = HCF(446,115) = HCF(561,446) = HCF(1007,561) = HCF(6603,1007) .
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Frequently Asked Questions on HCF of 1007, 6603 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 1007, 6603?
Answer: HCF of 1007, 6603 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1007, 6603 using Euclid's Algorithm?
Answer: For arbitrary numbers 1007, 6603 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.