Highest Common Factor of 987, 564, 443 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 987, 564, 443 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 987, 564, 443 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 987, 564, 443 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 987, 564, 443 is 1.
HCF(987, 564, 443) = 1
HCF of 987, 564, 443 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 987, 564, 443 is 1.
Highest Common Factor of 987,564,443 is 1
Step 1: Since 987 > 564, we apply the division lemma to 987 and 564, to get
987 = 564 x 1 + 423
Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 423 and 564, to get
564 = 423 x 1 + 141
Step 3: We consider the new divisor 423 and the new remainder 141, and apply the division lemma to get
423 = 141 x 3 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 141, the HCF of 987 and 564 is 141
Notice that 141 = HCF(423,141) = HCF(564,423) = HCF(987,564) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 443 > 141, we apply the division lemma to 443 and 141, to get
443 = 141 x 3 + 20
Step 2: Since the reminder 141 ≠ 0, we apply division lemma to 20 and 141, to get
141 = 20 x 7 + 1
Step 3: We consider the new divisor 20 and the new remainder 1, and apply the division lemma to get
20 = 1 x 20 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 141 and 443 is 1
Notice that 1 = HCF(20,1) = HCF(141,20) = HCF(443,141) .
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Frequently Asked Questions on HCF of 987, 564, 443 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 987, 564, 443?
Answer: HCF of 987, 564, 443 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 987, 564, 443 using Euclid's Algorithm?
Answer: For arbitrary numbers 987, 564, 443 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.