Highest Common Factor of 469, 868, 588, 879 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 469, 868, 588, 879 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 469, 868, 588, 879 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 469, 868, 588, 879 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 469, 868, 588, 879 is 1.
HCF(469, 868, 588, 879) = 1
HCF of 469, 868, 588, 879 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 469, 868, 588, 879 is 1.
Highest Common Factor of 469,868,588,879 is 1
Step 1: Since 868 > 469, we apply the division lemma to 868 and 469, to get
868 = 469 x 1 + 399
Step 2: Since the reminder 469 ≠ 0, we apply division lemma to 399 and 469, to get
469 = 399 x 1 + 70
Step 3: We consider the new divisor 399 and the new remainder 70, and apply the division lemma to get
399 = 70 x 5 + 49
We consider the new divisor 70 and the new remainder 49,and apply the division lemma to get
70 = 49 x 1 + 21
We consider the new divisor 49 and the new remainder 21,and apply the division lemma to get
49 = 21 x 2 + 7
We consider the new divisor 21 and the new remainder 7,and apply the division lemma to get
21 = 7 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 469 and 868 is 7
Notice that 7 = HCF(21,7) = HCF(49,21) = HCF(70,49) = HCF(399,70) = HCF(469,399) = HCF(868,469) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 588 > 7, we apply the division lemma to 588 and 7, to get
588 = 7 x 84 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 7, the HCF of 7 and 588 is 7
Notice that 7 = HCF(588,7) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 879 > 7, we apply the division lemma to 879 and 7, to get
879 = 7 x 125 + 4
Step 2: Since the reminder 7 ≠ 0, we apply division lemma to 4 and 7, to get
7 = 4 x 1 + 3
Step 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 7 and 879 is 1
Notice that 1 = HCF(3,1) = HCF(4,3) = HCF(7,4) = HCF(879,7) .
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Frequently Asked Questions on HCF of 469, 868, 588, 879 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 469, 868, 588, 879?
Answer: HCF of 469, 868, 588, 879 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 469, 868, 588, 879 using Euclid's Algorithm?
Answer: For arbitrary numbers 469, 868, 588, 879 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.