Highest Common Factor of 1984, 3618 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 1984, 3618 i.e. 2 the largest integer that leaves a remainder zero for all numbers.
HCF of 1984, 3618 is 2 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 1984, 3618 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 1984, 3618 is 2.
HCF(1984, 3618) = 2
HCF of 1984, 3618 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1984, 3618 is 2.
Highest Common Factor of 1984,3618 is 2
Step 1: Since 3618 > 1984, we apply the division lemma to 3618 and 1984, to get
3618 = 1984 x 1 + 1634
Step 2: Since the reminder 1984 ≠ 0, we apply division lemma to 1634 and 1984, to get
1984 = 1634 x 1 + 350
Step 3: We consider the new divisor 1634 and the new remainder 350, and apply the division lemma to get
1634 = 350 x 4 + 234
We consider the new divisor 350 and the new remainder 234,and apply the division lemma to get
350 = 234 x 1 + 116
We consider the new divisor 234 and the new remainder 116,and apply the division lemma to get
234 = 116 x 2 + 2
We consider the new divisor 116 and the new remainder 2,and apply the division lemma to get
116 = 2 x 58 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 1984 and 3618 is 2
Notice that 2 = HCF(116,2) = HCF(234,116) = HCF(350,234) = HCF(1634,350) = HCF(1984,1634) = HCF(3618,1984) .
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Frequently Asked Questions on HCF of 1984, 3618 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 1984, 3618?
Answer: HCF of 1984, 3618 is 2 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1984, 3618 using Euclid's Algorithm?
Answer: For arbitrary numbers 1984, 3618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.