Highest Common Factor of 609, 878, 599, 476 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 609, 878, 599, 476 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 609, 878, 599, 476 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 609, 878, 599, 476 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 609, 878, 599, 476 is 1.
HCF(609, 878, 599, 476) = 1
HCF of 609, 878, 599, 476 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 609, 878, 599, 476 is 1.
Highest Common Factor of 609,878,599,476 is 1
Step 1: Since 878 > 609, we apply the division lemma to 878 and 609, to get
878 = 609 x 1 + 269
Step 2: Since the reminder 609 ≠ 0, we apply division lemma to 269 and 609, to get
609 = 269 x 2 + 71
Step 3: We consider the new divisor 269 and the new remainder 71, and apply the division lemma to get
269 = 71 x 3 + 56
We consider the new divisor 71 and the new remainder 56,and apply the division lemma to get
71 = 56 x 1 + 15
We consider the new divisor 56 and the new remainder 15,and apply the division lemma to get
56 = 15 x 3 + 11
We consider the new divisor 15 and the new remainder 11,and apply the division lemma to get
15 = 11 x 1 + 4
We consider the new divisor 11 and the new remainder 4,and apply the division lemma to get
11 = 4 x 2 + 3
We consider the new divisor 4 and the new remainder 3,and apply the division lemma to get
4 = 3 x 1 + 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 609 and 878 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(11,4) = HCF(15,11) = HCF(56,15) = HCF(71,56) = HCF(269,71) = HCF(609,269) = HCF(878,609) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 599 > 1, we apply the division lemma to 599 and 1, to get
599 = 1 x 599 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 599 is 1
Notice that 1 = HCF(599,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 476 > 1, we apply the division lemma to 476 and 1, to get
476 = 1 x 476 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 476 is 1
Notice that 1 = HCF(476,1) .
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Frequently Asked Questions on HCF of 609, 878, 599, 476 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 609, 878, 599, 476?
Answer: HCF of 609, 878, 599, 476 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 609, 878, 599, 476 using Euclid's Algorithm?
Answer: For arbitrary numbers 609, 878, 599, 476 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
