Highest Common Factor of 600, 771, 618 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 600, 771, 618 i.e. 3 the largest integer that leaves a remainder zero for all numbers.
HCF of 600, 771, 618 is 3 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 600, 771, 618 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 600, 771, 618 is 3.
HCF(600, 771, 618) = 3
HCF of 600, 771, 618 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 600, 771, 618 is 3.
Highest Common Factor of 600,771,618 is 3
Step 1: Since 771 > 600, we apply the division lemma to 771 and 600, to get
771 = 600 x 1 + 171
Step 2: Since the reminder 600 ≠ 0, we apply division lemma to 171 and 600, to get
600 = 171 x 3 + 87
Step 3: We consider the new divisor 171 and the new remainder 87, and apply the division lemma to get
171 = 87 x 1 + 84
We consider the new divisor 87 and the new remainder 84,and apply the division lemma to get
87 = 84 x 1 + 3
We consider the new divisor 84 and the new remainder 3,and apply the division lemma to get
84 = 3 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 600 and 771 is 3
Notice that 3 = HCF(84,3) = HCF(87,84) = HCF(171,87) = HCF(600,171) = HCF(771,600) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 618 > 3, we apply the division lemma to 618 and 3, to get
618 = 3 x 206 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 3 and 618 is 3
Notice that 3 = HCF(618,3) .
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Frequently Asked Questions on HCF of 600, 771, 618 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 600, 771, 618?
Answer: HCF of 600, 771, 618 is 3 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 600, 771, 618 using Euclid's Algorithm?
Answer: For arbitrary numbers 600, 771, 618 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.