Highest Common Factor of 639, 898, 465, 69 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 639, 898, 465, 69 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 639, 898, 465, 69 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 639, 898, 465, 69 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 639, 898, 465, 69 is 1.
HCF(639, 898, 465, 69) = 1
HCF of 639, 898, 465, 69 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 639, 898, 465, 69 is 1.
Highest Common Factor of 639,898,465,69 is 1
Step 1: Since 898 > 639, we apply the division lemma to 898 and 639, to get
898 = 639 x 1 + 259
Step 2: Since the reminder 639 ≠ 0, we apply division lemma to 259 and 639, to get
639 = 259 x 2 + 121
Step 3: We consider the new divisor 259 and the new remainder 121, and apply the division lemma to get
259 = 121 x 2 + 17
We consider the new divisor 121 and the new remainder 17,and apply the division lemma to get
121 = 17 x 7 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 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 639 and 898 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(121,17) = HCF(259,121) = HCF(639,259) = HCF(898,639) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 465 > 1, we apply the division lemma to 465 and 1, to get
465 = 1 x 465 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 465 is 1
Notice that 1 = HCF(465,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 69 > 1, we apply the division lemma to 69 and 1, to get
69 = 1 x 69 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 69 is 1
Notice that 1 = HCF(69,1) .
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Frequently Asked Questions on HCF of 639, 898, 465, 69 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 639, 898, 465, 69?
Answer: HCF of 639, 898, 465, 69 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 639, 898, 465, 69 using Euclid's Algorithm?
Answer: For arbitrary numbers 639, 898, 465, 69 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.