Highest Common Factor of 892, 515, 889 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 892, 515, 889 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 892, 515, 889 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 892, 515, 889 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 892, 515, 889 is 1.
HCF(892, 515, 889) = 1
HCF of 892, 515, 889 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 892, 515, 889 is 1.
Highest Common Factor of 892,515,889 is 1
Step 1: Since 892 > 515, we apply the division lemma to 892 and 515, to get
892 = 515 x 1 + 377
Step 2: Since the reminder 515 ≠ 0, we apply division lemma to 377 and 515, to get
515 = 377 x 1 + 138
Step 3: We consider the new divisor 377 and the new remainder 138, and apply the division lemma to get
377 = 138 x 2 + 101
We consider the new divisor 138 and the new remainder 101,and apply the division lemma to get
138 = 101 x 1 + 37
We consider the new divisor 101 and the new remainder 37,and apply the division lemma to get
101 = 37 x 2 + 27
We consider the new divisor 37 and the new remainder 27,and apply the division lemma to get
37 = 27 x 1 + 10
We consider the new divisor 27 and the new remainder 10,and apply the division lemma to get
27 = 10 x 2 + 7
We consider the new divisor 10 and the new remainder 7,and apply the division lemma to get
10 = 7 x 1 + 3
We consider the new divisor 7 and the new remainder 3,and apply the division lemma to get
7 = 3 x 2 + 1
We consider the new divisor 3 and the new remainder 1,and apply the division lemma 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 892 and 515 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(27,10) = HCF(37,27) = HCF(101,37) = HCF(138,101) = HCF(377,138) = HCF(515,377) = HCF(892,515) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 889 > 1, we apply the division lemma to 889 and 1, to get
889 = 1 x 889 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 889 is 1
Notice that 1 = HCF(889,1) .
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Frequently Asked Questions on HCF of 892, 515, 889 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 892, 515, 889?
Answer: HCF of 892, 515, 889 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 892, 515, 889 using Euclid's Algorithm?
Answer: For arbitrary numbers 892, 515, 889 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.