Highest Common Factor of 863, 235, 485, 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 863, 235, 485, 87 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 863, 235, 485, 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 863, 235, 485, 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 863, 235, 485, 87 is 1.
HCF(863, 235, 485, 87) = 1
HCF of 863, 235, 485, 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 863, 235, 485, 87 is 1.
Highest Common Factor of 863,235,485,87 is 1
Step 1: Since 863 > 235, we apply the division lemma to 863 and 235, to get
863 = 235 x 3 + 158
Step 2: Since the reminder 235 ≠ 0, we apply division lemma to 158 and 235, to get
235 = 158 x 1 + 77
Step 3: We consider the new divisor 158 and the new remainder 77, and apply the division lemma to get
158 = 77 x 2 + 4
We consider the new divisor 77 and the new remainder 4,and apply the division lemma to get
77 = 4 x 19 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 863 and 235 is 1
Notice that 1 = HCF(4,1) = HCF(77,4) = HCF(158,77) = HCF(235,158) = HCF(863,235) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 485 > 1, we apply the division lemma to 485 and 1, to get
485 = 1 x 485 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 485 is 1
Notice that 1 = HCF(485,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 87 > 1, we apply the division lemma to 87 and 1, to get
87 = 1 x 87 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 87 is 1
Notice that 1 = HCF(87,1) .
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Frequently Asked Questions on HCF of 863, 235, 485, 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 863, 235, 485, 87?
Answer: HCF of 863, 235, 485, 87 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 863, 235, 485, 87 using Euclid's Algorithm?
Answer: For arbitrary numbers 863, 235, 485, 87 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.