Highest Common Factor of 658, 843, 702, 86 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 658, 843, 702, 86 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 658, 843, 702, 86 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 658, 843, 702, 86 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 658, 843, 702, 86 is 1.
HCF(658, 843, 702, 86) = 1
HCF of 658, 843, 702, 86 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 658, 843, 702, 86 is 1.
Highest Common Factor of 658,843,702,86 is 1
Step 1: Since 843 > 658, we apply the division lemma to 843 and 658, to get
843 = 658 x 1 + 185
Step 2: Since the reminder 658 ≠ 0, we apply division lemma to 185 and 658, to get
658 = 185 x 3 + 103
Step 3: We consider the new divisor 185 and the new remainder 103, and apply the division lemma to get
185 = 103 x 1 + 82
We consider the new divisor 103 and the new remainder 82,and apply the division lemma to get
103 = 82 x 1 + 21
We consider the new divisor 82 and the new remainder 21,and apply the division lemma to get
82 = 21 x 3 + 19
We consider the new divisor 21 and the new remainder 19,and apply the division lemma to get
21 = 19 x 1 + 2
We consider the new divisor 19 and the new remainder 2,and apply the division lemma to get
19 = 2 x 9 + 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 658 and 843 is 1
Notice that 1 = HCF(2,1) = HCF(19,2) = HCF(21,19) = HCF(82,21) = HCF(103,82) = HCF(185,103) = HCF(658,185) = HCF(843,658) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 702 > 1, we apply the division lemma to 702 and 1, to get
702 = 1 x 702 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 702 is 1
Notice that 1 = HCF(702,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 86 > 1, we apply the division lemma to 86 and 1, to get
86 = 1 x 86 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 86 is 1
Notice that 1 = HCF(86,1) .
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Frequently Asked Questions on HCF of 658, 843, 702, 86 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 658, 843, 702, 86?
Answer: HCF of 658, 843, 702, 86 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 658, 843, 702, 86 using Euclid's Algorithm?
Answer: For arbitrary numbers 658, 843, 702, 86 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.