Highest Common Factor of 594, 987, 892 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 594, 987, 892 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 594, 987, 892 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 594, 987, 892 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 594, 987, 892 is 1.
HCF(594, 987, 892) = 1
HCF of 594, 987, 892 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 594, 987, 892 is 1.
Highest Common Factor of 594,987,892 is 1
Step 1: Since 987 > 594, we apply the division lemma to 987 and 594, to get
987 = 594 x 1 + 393
Step 2: Since the reminder 594 ≠ 0, we apply division lemma to 393 and 594, to get
594 = 393 x 1 + 201
Step 3: We consider the new divisor 393 and the new remainder 201, and apply the division lemma to get
393 = 201 x 1 + 192
We consider the new divisor 201 and the new remainder 192,and apply the division lemma to get
201 = 192 x 1 + 9
We consider the new divisor 192 and the new remainder 9,and apply the division lemma to get
192 = 9 x 21 + 3
We consider the new divisor 9 and the new remainder 3,and apply the division lemma to get
9 = 3 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 594 and 987 is 3
Notice that 3 = HCF(9,3) = HCF(192,9) = HCF(201,192) = HCF(393,201) = HCF(594,393) = HCF(987,594) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 892 > 3, we apply the division lemma to 892 and 3, to get
892 = 3 x 297 + 1
Step 2: Since the reminder 3 ≠ 0, we apply division lemma to 1 and 3, to get
3 = 1 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3 and 892 is 1
Notice that 1 = HCF(3,1) = HCF(892,3) .
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Frequently Asked Questions on HCF of 594, 987, 892 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 594, 987, 892?
Answer: HCF of 594, 987, 892 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 594, 987, 892 using Euclid's Algorithm?
Answer: For arbitrary numbers 594, 987, 892 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.