Highest Common Factor of 540, 684, 955 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, 684, 955 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 540, 684, 955 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, 684, 955 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, 684, 955 is 1.
HCF(540, 684, 955) = 1
HCF of 540, 684, 955 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, 684, 955 is 1.
Highest Common Factor of 540,684,955 is 1
Step 1: Since 684 > 540, we apply the division lemma to 684 and 540, to get
684 = 540 x 1 + 144
Step 2: Since the reminder 540 ≠ 0, we apply division lemma to 144 and 540, to get
540 = 144 x 3 + 108
Step 3: We consider the new divisor 144 and the new remainder 108, and apply the division lemma to get
144 = 108 x 1 + 36
We consider the new divisor 108 and the new remainder 36, and apply the division lemma to get
108 = 36 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 36, the HCF of 540 and 684 is 36
Notice that 36 = HCF(108,36) = HCF(144,108) = HCF(540,144) = HCF(684,540) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 955 > 36, we apply the division lemma to 955 and 36, to get
955 = 36 x 26 + 19
Step 2: Since the reminder 36 ≠ 0, we apply division lemma to 19 and 36, to get
36 = 19 x 1 + 17
Step 3: We consider the new divisor 19 and the new remainder 17, and apply the division lemma to get
19 = 17 x 1 + 2
We consider the new divisor 17 and the new remainder 2,and apply the division lemma to get
17 = 2 x 8 + 1
We consider the new divisor 2 and the new remainder 1,and apply the division lemma 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 36 and 955 is 1
Notice that 1 = HCF(2,1) = HCF(17,2) = HCF(19,17) = HCF(36,19) = HCF(955,36) .
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Frequently Asked Questions on HCF of 540, 684, 955 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, 684, 955?
Answer: HCF of 540, 684, 955 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 540, 684, 955 using Euclid's Algorithm?
Answer: For arbitrary numbers 540, 684, 955 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
