Highest Common Factor of 681, 914, 349, 81 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, 914, 349, 81 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 681, 914, 349, 81 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, 914, 349, 81 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, 914, 349, 81 is 1.
HCF(681, 914, 349, 81) = 1
HCF of 681, 914, 349, 81 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, 914, 349, 81 is 1.
Highest Common Factor of 681,914,349,81 is 1
Step 1: Since 914 > 681, we apply the division lemma to 914 and 681, to get
914 = 681 x 1 + 233
Step 2: Since the reminder 681 ≠ 0, we apply division lemma to 233 and 681, to get
681 = 233 x 2 + 215
Step 3: We consider the new divisor 233 and the new remainder 215, and apply the division lemma to get
233 = 215 x 1 + 18
We consider the new divisor 215 and the new remainder 18,and apply the division lemma to get
215 = 18 x 11 + 17
We consider the new divisor 18 and the new remainder 17,and apply the division lemma to get
18 = 17 x 1 + 1
We consider the new divisor 17 and the new remainder 1,and apply the division lemma to get
17 = 1 x 17 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 681 and 914 is 1
Notice that 1 = HCF(17,1) = HCF(18,17) = HCF(215,18) = HCF(233,215) = HCF(681,233) = HCF(914,681) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 349 > 1, we apply the division lemma to 349 and 1, to get
349 = 1 x 349 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 349 is 1
Notice that 1 = HCF(349,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 81 > 1, we apply the division lemma to 81 and 1, to get
81 = 1 x 81 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 81 is 1
Notice that 1 = HCF(81,1) .
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Frequently Asked Questions on HCF of 681, 914, 349, 81 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, 914, 349, 81?
Answer: HCF of 681, 914, 349, 81 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 681, 914, 349, 81 using Euclid's Algorithm?
Answer: For arbitrary numbers 681, 914, 349, 81 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.