Highest Common Factor of 540, 304, 93, 271 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 540, 304, 93, 271 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 540, 304, 93, 271 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 540, 304, 93, 271 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 540, 304, 93, 271 is 1.
HCF(540, 304, 93, 271) = 1
HCF of 540, 304, 93, 271 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 540, 304, 93, 271 is 1.
Highest Common Factor of 540,304,93,271 is 1
Step 1: Since 540 > 304, we apply the division lemma to 540 and 304, to get
540 = 304 x 1 + 236
Step 2: Since the reminder 304 ≠ 0, we apply division lemma to 236 and 304, to get
304 = 236 x 1 + 68
Step 3: We consider the new divisor 236 and the new remainder 68, and apply the division lemma to get
236 = 68 x 3 + 32
We consider the new divisor 68 and the new remainder 32,and apply the division lemma to get
68 = 32 x 2 + 4
We consider the new divisor 32 and the new remainder 4,and apply the division lemma to get
32 = 4 x 8 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 4, the HCF of 540 and 304 is 4
Notice that 4 = HCF(32,4) = HCF(68,32) = HCF(236,68) = HCF(304,236) = HCF(540,304) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 93 > 4, we apply the division lemma to 93 and 4, to get
93 = 4 x 23 + 1
Step 2: Since the reminder 4 ≠ 0, we apply division lemma to 1 and 4, to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 4 and 93 is 1
Notice that 1 = HCF(4,1) = HCF(93,4) .
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) .
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Frequently Asked Questions on HCF of 540, 304, 93, 271 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 540, 304, 93, 271?
Answer: HCF of 540, 304, 93, 271 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 540, 304, 93, 271 using Euclid's Algorithm?
Answer: For arbitrary numbers 540, 304, 93, 271 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.