Highest Common Factor of 1158, 6095 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 1158, 6095 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 1158, 6095 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 1158, 6095 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 1158, 6095 is 1.
HCF(1158, 6095) = 1
HCF of 1158, 6095 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 1158, 6095 is 1.
Highest Common Factor of 1158,6095 is 1
Step 1: Since 6095 > 1158, we apply the division lemma to 6095 and 1158, to get
6095 = 1158 x 5 + 305
Step 2: Since the reminder 1158 ≠ 0, we apply division lemma to 305 and 1158, to get
1158 = 305 x 3 + 243
Step 3: We consider the new divisor 305 and the new remainder 243, and apply the division lemma to get
305 = 243 x 1 + 62
We consider the new divisor 243 and the new remainder 62,and apply the division lemma to get
243 = 62 x 3 + 57
We consider the new divisor 62 and the new remainder 57,and apply the division lemma to get
62 = 57 x 1 + 5
We consider the new divisor 57 and the new remainder 5,and apply the division lemma to get
57 = 5 x 11 + 2
We consider the new divisor 5 and the new remainder 2,and apply the division lemma to get
5 = 2 x 2 + 1
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 1158 and 6095 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(57,5) = HCF(62,57) = HCF(243,62) = HCF(305,243) = HCF(1158,305) = HCF(6095,1158) .
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Frequently Asked Questions on HCF of 1158, 6095 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 1158, 6095?
Answer: HCF of 1158, 6095 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 1158, 6095 using Euclid's Algorithm?
Answer: For arbitrary numbers 1158, 6095 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.