Highest Common Factor of 6608, 5551 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 6608, 5551 i.e. 7 the largest integer that leaves a remainder zero for all numbers.
HCF of 6608, 5551 is 7 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 6608, 5551 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 6608, 5551 is 7.
HCF(6608, 5551) = 7
HCF of 6608, 5551 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6608, 5551 is 7.
Highest Common Factor of 6608,5551 is 7
Step 1: Since 6608 > 5551, we apply the division lemma to 6608 and 5551, to get
6608 = 5551 x 1 + 1057
Step 2: Since the reminder 5551 ≠ 0, we apply division lemma to 1057 and 5551, to get
5551 = 1057 x 5 + 266
Step 3: We consider the new divisor 1057 and the new remainder 266, and apply the division lemma to get
1057 = 266 x 3 + 259
We consider the new divisor 266 and the new remainder 259,and apply the division lemma to get
266 = 259 x 1 + 7
We consider the new divisor 259 and the new remainder 7,and apply the division lemma to get
259 = 7 x 37 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 6608 and 5551 is 7
Notice that 7 = HCF(259,7) = HCF(266,259) = HCF(1057,266) = HCF(5551,1057) = HCF(6608,5551) .
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Frequently Asked Questions on HCF of 6608, 5551 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 6608, 5551?
Answer: HCF of 6608, 5551 is 7 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6608, 5551 using Euclid's Algorithm?
Answer: For arbitrary numbers 6608, 5551 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.