Highest Common Factor of 858, 985, 585 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 858, 985, 585 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 858, 985, 585 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 858, 985, 585 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 858, 985, 585 is 1.
HCF(858, 985, 585) = 1
HCF of 858, 985, 585 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 858, 985, 585 is 1.
Highest Common Factor of 858,985,585 is 1
Step 1: Since 985 > 858, we apply the division lemma to 985 and 858, to get
985 = 858 x 1 + 127
Step 2: Since the reminder 858 ≠ 0, we apply division lemma to 127 and 858, to get
858 = 127 x 6 + 96
Step 3: We consider the new divisor 127 and the new remainder 96, and apply the division lemma to get
127 = 96 x 1 + 31
We consider the new divisor 96 and the new remainder 31,and apply the division lemma to get
96 = 31 x 3 + 3
We consider the new divisor 31 and the new remainder 3,and apply the division lemma to get
31 = 3 x 10 + 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 858 and 985 is 1
Notice that 1 = HCF(3,1) = HCF(31,3) = HCF(96,31) = HCF(127,96) = HCF(858,127) = HCF(985,858) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 585 > 1, we apply the division lemma to 585 and 1, to get
585 = 1 x 585 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 585 is 1
Notice that 1 = HCF(585,1) .
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Frequently Asked Questions on HCF of 858, 985, 585 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 858, 985, 585?
Answer: HCF of 858, 985, 585 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 858, 985, 585 using Euclid's Algorithm?
Answer: For arbitrary numbers 858, 985, 585 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.