Highest Common Factor of 67, 258, 895 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 67, 258, 895 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 67, 258, 895 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 67, 258, 895 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 67, 258, 895 is 1.
HCF(67, 258, 895) = 1
HCF of 67, 258, 895 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 67, 258, 895 is 1.
Highest Common Factor of 67,258,895 is 1
Step 1: Since 258 > 67, we apply the division lemma to 258 and 67, to get
258 = 67 x 3 + 57
Step 2: Since the reminder 67 ≠ 0, we apply division lemma to 57 and 67, to get
67 = 57 x 1 + 10
Step 3: We consider the new divisor 57 and the new remainder 10, and apply the division lemma to get
57 = 10 x 5 + 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 67 and 258 is 1
Notice that 1 = HCF(3,1) = HCF(7,3) = HCF(10,7) = HCF(57,10) = HCF(67,57) = HCF(258,67) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 895 > 1, we apply the division lemma to 895 and 1, to get
895 = 1 x 895 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 1 and 895 is 1
Notice that 1 = HCF(895,1) .
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Frequently Asked Questions on HCF of 67, 258, 895 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 67, 258, 895?
Answer: HCF of 67, 258, 895 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 67, 258, 895 using Euclid's Algorithm?
Answer: For arbitrary numbers 67, 258, 895 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.