Highest Common Factor of 896, 346, 540, 73 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 896, 346, 540, 73 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 896, 346, 540, 73 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 896, 346, 540, 73 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 896, 346, 540, 73 is 1.
HCF(896, 346, 540, 73) = 1
HCF of 896, 346, 540, 73 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 896, 346, 540, 73 is 1.
Highest Common Factor of 896,346,540,73 is 1
Step 1: Since 896 > 346, we apply the division lemma to 896 and 346, to get
896 = 346 x 2 + 204
Step 2: Since the reminder 346 ≠ 0, we apply division lemma to 204 and 346, to get
346 = 204 x 1 + 142
Step 3: We consider the new divisor 204 and the new remainder 142, and apply the division lemma to get
204 = 142 x 1 + 62
We consider the new divisor 142 and the new remainder 62,and apply the division lemma to get
142 = 62 x 2 + 18
We consider the new divisor 62 and the new remainder 18,and apply the division lemma to get
62 = 18 x 3 + 8
We consider the new divisor 18 and the new remainder 8,and apply the division lemma to get
18 = 8 x 2 + 2
We consider the new divisor 8 and the new remainder 2,and apply the division lemma to get
8 = 2 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 896 and 346 is 2
Notice that 2 = HCF(8,2) = HCF(18,8) = HCF(62,18) = HCF(142,62) = HCF(204,142) = HCF(346,204) = HCF(896,346) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 540 > 2, we apply the division lemma to 540 and 2, to get
540 = 2 x 270 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 2 and 540 is 2
Notice that 2 = HCF(540,2) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 73 > 2, we apply the division lemma to 73 and 2, to get
73 = 2 x 36 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 73 is 1
Notice that 1 = HCF(2,1) = HCF(73,2) .
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Frequently Asked Questions on HCF of 896, 346, 540, 73 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 896, 346, 540, 73?
Answer: HCF of 896, 346, 540, 73 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 896, 346, 540, 73 using Euclid's Algorithm?
Answer: For arbitrary numbers 896, 346, 540, 73 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.