Highest Common Factor of 597, 900, 536, 32 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 597, 900, 536, 32 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 597, 900, 536, 32 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 597, 900, 536, 32 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 597, 900, 536, 32 is 1.
HCF(597, 900, 536, 32) = 1
HCF of 597, 900, 536, 32 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 597, 900, 536, 32 is 1.
Highest Common Factor of 597,900,536,32 is 1
Step 1: Since 900 > 597, we apply the division lemma to 900 and 597, to get
900 = 597 x 1 + 303
Step 2: Since the reminder 597 ≠ 0, we apply division lemma to 303 and 597, to get
597 = 303 x 1 + 294
Step 3: We consider the new divisor 303 and the new remainder 294, and apply the division lemma to get
303 = 294 x 1 + 9
We consider the new divisor 294 and the new remainder 9,and apply the division lemma to get
294 = 9 x 32 + 6
We consider the new divisor 9 and the new remainder 6,and apply the division lemma to get
9 = 6 x 1 + 3
We consider the new divisor 6 and the new remainder 3,and apply the division lemma to get
6 = 3 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 597 and 900 is 3
Notice that 3 = HCF(6,3) = HCF(9,6) = HCF(294,9) = HCF(303,294) = HCF(597,303) = HCF(900,597) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 536 > 3, we apply the division lemma to 536 and 3, to get
536 = 3 x 178 + 2
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 2 and 3, to get
3 = 2 x 1 + 1
Step 3: 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 3 and 536 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(536,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 32 > 1, we apply the division lemma to 32 and 1, to get
32 = 1 x 32 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 32 is 1
Notice that 1 = HCF(32,1) .
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Frequently Asked Questions on HCF of 597, 900, 536, 32 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 597, 900, 536, 32?
Answer: HCF of 597, 900, 536, 32 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 597, 900, 536, 32 using Euclid's Algorithm?
Answer: For arbitrary numbers 597, 900, 536, 32 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
