Highest Common Factor of 7533, 6649 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 7533, 6649 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 7533, 6649 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 7533, 6649 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 7533, 6649 is 1.
HCF(7533, 6649) = 1
HCF of 7533, 6649 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 7533, 6649 is 1.
Highest Common Factor of 7533,6649 is 1
Step 1: Since 7533 > 6649, we apply the division lemma to 7533 and 6649, to get
7533 = 6649 x 1 + 884
Step 2: Since the reminder 6649 ≠ 0, we apply division lemma to 884 and 6649, to get
6649 = 884 x 7 + 461
Step 3: We consider the new divisor 884 and the new remainder 461, and apply the division lemma to get
884 = 461 x 1 + 423
We consider the new divisor 461 and the new remainder 423,and apply the division lemma to get
461 = 423 x 1 + 38
We consider the new divisor 423 and the new remainder 38,and apply the division lemma to get
423 = 38 x 11 + 5
We consider the new divisor 38 and the new remainder 5,and apply the division lemma to get
38 = 5 x 7 + 3
We consider the new divisor 5 and the new remainder 3,and apply the division lemma to get
5 = 3 x 1 + 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 7533 and 6649 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(5,3) = HCF(38,5) = HCF(423,38) = HCF(461,423) = HCF(884,461) = HCF(6649,884) = HCF(7533,6649) .
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Frequently Asked Questions on HCF of 7533, 6649 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 7533, 6649?
Answer: HCF of 7533, 6649 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 7533, 6649 using Euclid's Algorithm?
Answer: For arbitrary numbers 7533, 6649 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.