Highest Common Factor of 618, 164, 755, 930 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 618, 164, 755, 930 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 618, 164, 755, 930 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 618, 164, 755, 930 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 618, 164, 755, 930 is 1.
HCF(618, 164, 755, 930) = 1
HCF of 618, 164, 755, 930 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 618, 164, 755, 930 is 1.
Highest Common Factor of 618,164,755,930 is 1
Step 1: Since 618 > 164, we apply the division lemma to 618 and 164, to get
618 = 164 x 3 + 126
Step 2: Since the reminder 164 ≠ 0, we apply division lemma to 126 and 164, to get
164 = 126 x 1 + 38
Step 3: We consider the new divisor 126 and the new remainder 38, and apply the division lemma to get
126 = 38 x 3 + 12
We consider the new divisor 38 and the new remainder 12,and apply the division lemma to get
38 = 12 x 3 + 2
We consider the new divisor 12 and the new remainder 2,and apply the division lemma to get
12 = 2 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 618 and 164 is 2
Notice that 2 = HCF(12,2) = HCF(38,12) = HCF(126,38) = HCF(164,126) = HCF(618,164) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 755 > 2, we apply the division lemma to 755 and 2, to get
755 = 2 x 377 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, to get
2 = 1 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 2 and 755 is 1
Notice that 1 = HCF(2,1) = HCF(755,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 930 > 1, we apply the division lemma to 930 and 1, to get
930 = 1 x 930 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 930 is 1
Notice that 1 = HCF(930,1) .
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Frequently Asked Questions on HCF of 618, 164, 755, 930 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 618, 164, 755, 930?
Answer: HCF of 618, 164, 755, 930 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 618, 164, 755, 930 using Euclid's Algorithm?
Answer: For arbitrary numbers 618, 164, 755, 930 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.