Highest Common Factor of 985, 603, 610 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 985, 603, 610 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 985, 603, 610 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 985, 603, 610 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 985, 603, 610 is 1.
HCF(985, 603, 610) = 1
HCF of 985, 603, 610 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 985, 603, 610 is 1.
Highest Common Factor of 985,603,610 is 1
Step 1: Since 985 > 603, we apply the division lemma to 985 and 603, to get
985 = 603 x 1 + 382
Step 2: Since the reminder 603 ≠ 0, we apply division lemma to 382 and 603, to get
603 = 382 x 1 + 221
Step 3: We consider the new divisor 382 and the new remainder 221, and apply the division lemma to get
382 = 221 x 1 + 161
We consider the new divisor 221 and the new remainder 161,and apply the division lemma to get
221 = 161 x 1 + 60
We consider the new divisor 161 and the new remainder 60,and apply the division lemma to get
161 = 60 x 2 + 41
We consider the new divisor 60 and the new remainder 41,and apply the division lemma to get
60 = 41 x 1 + 19
We consider the new divisor 41 and the new remainder 19,and apply the division lemma to get
41 = 19 x 2 + 3
We consider the new divisor 19 and the new remainder 3,and apply the division lemma to get
19 = 3 x 6 + 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 985 and 603 is 1
Notice that 1 = HCF(3,1) = HCF(19,3) = HCF(41,19) = HCF(60,41) = HCF(161,60) = HCF(221,161) = HCF(382,221) = HCF(603,382) = HCF(985,603) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 610 > 1, we apply the division lemma to 610 and 1, to get
610 = 1 x 610 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 610 is 1
Notice that 1 = HCF(610,1) .
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Frequently Asked Questions on HCF of 985, 603, 610 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 985, 603, 610?
Answer: HCF of 985, 603, 610 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 985, 603, 610 using Euclid's Algorithm?
Answer: For arbitrary numbers 985, 603, 610 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.