Highest Common Factor of 562, 764, 210, 87 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 562, 764, 210, 87 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 562, 764, 210, 87 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 562, 764, 210, 87 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 562, 764, 210, 87 is 1.
HCF(562, 764, 210, 87) = 1
HCF of 562, 764, 210, 87 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 562, 764, 210, 87 is 1.
Highest Common Factor of 562,764,210,87 is 1
Step 1: Since 764 > 562, we apply the division lemma to 764 and 562, to get
764 = 562 x 1 + 202
Step 2: Since the reminder 562 ≠ 0, we apply division lemma to 202 and 562, to get
562 = 202 x 2 + 158
Step 3: We consider the new divisor 202 and the new remainder 158, and apply the division lemma to get
202 = 158 x 1 + 44
We consider the new divisor 158 and the new remainder 44,and apply the division lemma to get
158 = 44 x 3 + 26
We consider the new divisor 44 and the new remainder 26,and apply the division lemma to get
44 = 26 x 1 + 18
We consider the new divisor 26 and the new remainder 18,and apply the division lemma to get
26 = 18 x 1 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 562 and 764 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(26,18) = HCF(44,26) = HCF(158,44) = HCF(202,158) = HCF(562,202) = HCF(764,562) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 210 > 2, we apply the division lemma to 210 and 2, to get
210 = 2 x 105 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 210 is 2
Notice that 2 = HCF(210,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87 > 2, we apply the division lemma to 87 and 2, to get
87 = 2 x 43 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 87 is 1
Notice that 1 = HCF(2,1) = HCF(87,2) .
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Frequently Asked Questions on HCF of 562, 764, 210, 87 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 562, 764, 210, 87?
Answer: HCF of 562, 764, 210, 87 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 562, 764, 210, 87 using Euclid's Algorithm?
Answer: For arbitrary numbers 562, 764, 210, 87 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.