Highest Common Factor of 893, 564, 12 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 893, 564, 12 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 893, 564, 12 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 893, 564, 12 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 893, 564, 12 is 1.
HCF(893, 564, 12) = 1
HCF of 893, 564, 12 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 893, 564, 12 is 1.
Highest Common Factor of 893,564,12 is 1
Step 1: Since 893 > 564, we apply the division lemma to 893 and 564, to get
893 = 564 x 1 + 329
Step 2: Since the reminder 564 ≠ 0, we apply division lemma to 329 and 564, to get
564 = 329 x 1 + 235
Step 3: We consider the new divisor 329 and the new remainder 235, and apply the division lemma to get
329 = 235 x 1 + 94
We consider the new divisor 235 and the new remainder 94,and apply the division lemma to get
235 = 94 x 2 + 47
We consider the new divisor 94 and the new remainder 47,and apply the division lemma to get
94 = 47 x 2 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 47, the HCF of 893 and 564 is 47
Notice that 47 = HCF(94,47) = HCF(235,94) = HCF(329,235) = HCF(564,329) = HCF(893,564) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 47 > 12, we apply the division lemma to 47 and 12, to get
47 = 12 x 3 + 11
Step 2: Since the reminder 12 ≠ 0, we apply division lemma to 11 and 12, to get
12 = 11 x 1 + 1
Step 3: We consider the new divisor 11 and the new remainder 1, and apply the division lemma to get
11 = 1 x 11 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 47 and 12 is 1
Notice that 1 = HCF(11,1) = HCF(12,11) = HCF(47,12) .
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Frequently Asked Questions on HCF of 893, 564, 12 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 893, 564, 12?
Answer: HCF of 893, 564, 12 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 893, 564, 12 using Euclid's Algorithm?
Answer: For arbitrary numbers 893, 564, 12 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
