Highest Common Factor of 891, 537, 38, 671 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 891, 537, 38, 671 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 891, 537, 38, 671 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 891, 537, 38, 671 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 891, 537, 38, 671 is 1.
HCF(891, 537, 38, 671) = 1
HCF of 891, 537, 38, 671 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 891, 537, 38, 671 is 1.
Highest Common Factor of 891,537,38,671 is 1
Step 1: Since 891 > 537, we apply the division lemma to 891 and 537, to get
891 = 537 x 1 + 354
Step 2: Since the reminder 537 ≠ 0, we apply division lemma to 354 and 537, to get
537 = 354 x 1 + 183
Step 3: We consider the new divisor 354 and the new remainder 183, and apply the division lemma to get
354 = 183 x 1 + 171
We consider the new divisor 183 and the new remainder 171,and apply the division lemma to get
183 = 171 x 1 + 12
We consider the new divisor 171 and the new remainder 12,and apply the division lemma to get
171 = 12 x 14 + 3
We consider the new divisor 12 and the new remainder 3,and apply the division lemma to get
12 = 3 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 3, the HCF of 891 and 537 is 3
Notice that 3 = HCF(12,3) = HCF(171,12) = HCF(183,171) = HCF(354,183) = HCF(537,354) = HCF(891,537) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 38 > 3, we apply the division lemma to 38 and 3, to get
38 = 3 x 12 + 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 38 is 1
Notice that 1 = HCF(2,1) = HCF(3,2) = HCF(38,3) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 671 > 1, we apply the division lemma to 671 and 1, to get
671 = 1 x 671 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 671 is 1
Notice that 1 = HCF(671,1) .
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Frequently Asked Questions on HCF of 891, 537, 38, 671 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 891, 537, 38, 671?
Answer: HCF of 891, 537, 38, 671 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 891, 537, 38, 671 using Euclid's Algorithm?
Answer: For arbitrary numbers 891, 537, 38, 671 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
