Highest Common Factor of 815, 534, 271, 46 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 815, 534, 271, 46 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 815, 534, 271, 46 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 815, 534, 271, 46 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 815, 534, 271, 46 is 1.
HCF(815, 534, 271, 46) = 1
HCF of 815, 534, 271, 46 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 815, 534, 271, 46 is 1.
Highest Common Factor of 815,534,271,46 is 1
Step 1: Since 815 > 534, we apply the division lemma to 815 and 534, to get
815 = 534 x 1 + 281
Step 2: Since the reminder 534 ≠ 0, we apply division lemma to 281 and 534, to get
534 = 281 x 1 + 253
Step 3: We consider the new divisor 281 and the new remainder 253, and apply the division lemma to get
281 = 253 x 1 + 28
We consider the new divisor 253 and the new remainder 28,and apply the division lemma to get
253 = 28 x 9 + 1
We consider the new divisor 28 and the new remainder 1,and apply the division lemma to get
28 = 1 x 28 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 815 and 534 is 1
Notice that 1 = HCF(28,1) = HCF(253,28) = HCF(281,253) = HCF(534,281) = HCF(815,534) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 271 > 1, we apply the division lemma to 271 and 1, to get
271 = 1 x 271 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 271 is 1
Notice that 1 = HCF(271,1) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 46 > 1, we apply the division lemma to 46 and 1, to get
46 = 1 x 46 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 46 is 1
Notice that 1 = HCF(46,1) .
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Frequently Asked Questions on HCF of 815, 534, 271, 46 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 815, 534, 271, 46?
Answer: HCF of 815, 534, 271, 46 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 815, 534, 271, 46 using Euclid's Algorithm?
Answer: For arbitrary numbers 815, 534, 271, 46 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.