Highest Common Factor of 6272, 5559 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 6272, 5559 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 6272, 5559 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 6272, 5559 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 6272, 5559 is 1.
HCF(6272, 5559) = 1
HCF of 6272, 5559 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 6272, 5559 is 1.
Highest Common Factor of 6272,5559 is 1
Step 1: Since 6272 > 5559, we apply the division lemma to 6272 and 5559, to get
6272 = 5559 x 1 + 713
Step 2: Since the reminder 5559 ≠ 0, we apply division lemma to 713 and 5559, to get
5559 = 713 x 7 + 568
Step 3: We consider the new divisor 713 and the new remainder 568, and apply the division lemma to get
713 = 568 x 1 + 145
We consider the new divisor 568 and the new remainder 145,and apply the division lemma to get
568 = 145 x 3 + 133
We consider the new divisor 145 and the new remainder 133,and apply the division lemma to get
145 = 133 x 1 + 12
We consider the new divisor 133 and the new remainder 12,and apply the division lemma to get
133 = 12 x 11 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 6272 and 5559 is 1
Notice that 1 = HCF(12,1) = HCF(133,12) = HCF(145,133) = HCF(568,145) = HCF(713,568) = HCF(5559,713) = HCF(6272,5559) .
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Frequently Asked Questions on HCF of 6272, 5559 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 6272, 5559?
Answer: HCF of 6272, 5559 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 6272, 5559 using Euclid's Algorithm?
Answer: For arbitrary numbers 6272, 5559 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.