Highest Common Factor of 681, 411, 154, 64 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 681, 411, 154, 64 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 681, 411, 154, 64 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 681, 411, 154, 64 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 681, 411, 154, 64 is 1.
HCF(681, 411, 154, 64) = 1
HCF of 681, 411, 154, 64 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 681, 411, 154, 64 is 1.
Highest Common Factor of 681,411,154,64 is 1
Step 1: Since 681 > 411, we apply the division lemma to 681 and 411, to get
681 = 411 x 1 + 270
Step 2: Since the reminder 411 ≠ 0, we apply division lemma to 270 and 411, to get
411 = 270 x 1 + 141
Step 3: We consider the new divisor 270 and the new remainder 141, and apply the division lemma to get
270 = 141 x 1 + 129
We consider the new divisor 141 and the new remainder 129,and apply the division lemma to get
141 = 129 x 1 + 12
We consider the new divisor 129 and the new remainder 12,and apply the division lemma to get
129 = 12 x 10 + 9
We consider the new divisor 12 and the new remainder 9,and apply the division lemma to get
12 = 9 x 1 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 681 and 411 is 3
Notice that 3 = HCF(9,3) = HCF(12,9) = HCF(129,12) = HCF(141,129) = HCF(270,141) = HCF(411,270) = HCF(681,411) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 154 > 3, we apply the division lemma to 154 and 3, to get
154 = 3 x 51 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, 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 3 and 154 is 1
Notice that 1 = HCF(3,1) = HCF(154,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 64 > 1, we apply the division lemma to 64 and 1, to get
64 = 1 x 64 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 64 is 1
Notice that 1 = HCF(64,1) .
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Frequently Asked Questions on HCF of 681, 411, 154, 64 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 681, 411, 154, 64?
Answer: HCF of 681, 411, 154, 64 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 681, 411, 154, 64 using Euclid's Algorithm?
Answer: For arbitrary numbers 681, 411, 154, 64 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
