Highest Common Factor of 626, 6009, 6015 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 626, 6009, 6015 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 626, 6009, 6015 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 626, 6009, 6015 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 626, 6009, 6015 is 1.
HCF(626, 6009, 6015) = 1
HCF of 626, 6009, 6015 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 626, 6009, 6015 is 1.
Highest Common Factor of 626,6009,6015 is 1
Step 1: Since 6009 > 626, we apply the division lemma to 6009 and 626, to get
6009 = 626 x 9 + 375
Step 2: Since the reminder 626 ≠ 0, we apply division lemma to 375 and 626, to get
626 = 375 x 1 + 251
Step 3: We consider the new divisor 375 and the new remainder 251, and apply the division lemma to get
375 = 251 x 1 + 124
We consider the new divisor 251 and the new remainder 124,and apply the division lemma to get
251 = 124 x 2 + 3
We consider the new divisor 124 and the new remainder 3,and apply the division lemma to get
124 = 3 x 41 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 626 and 6009 is 1
Notice that 1 = HCF(3,1) = HCF(124,3) = HCF(251,124) = HCF(375,251) = HCF(626,375) = HCF(6009,626) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 6015 > 1, we apply the division lemma to 6015 and 1, to get
6015 = 1 x 6015 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 6015 is 1
Notice that 1 = HCF(6015,1) .
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Frequently Asked Questions on HCF of 626, 6009, 6015 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 626, 6009, 6015?
Answer: HCF of 626, 6009, 6015 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 626, 6009, 6015 using Euclid's Algorithm?
Answer: For arbitrary numbers 626, 6009, 6015 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.