Highest Common Factor of 768, 1157 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 768, 1157 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 768, 1157 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 768, 1157 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 768, 1157 is 1.
HCF(768, 1157) = 1
HCF of 768, 1157 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 768, 1157 is 1.
Highest Common Factor of 768,1157 is 1
Step 1: Since 1157 > 768, we apply the division lemma to 1157 and 768, to get
1157 = 768 x 1 + 389
Step 2: Since the reminder 768 ≠ 0, we apply division lemma to 389 and 768, to get
768 = 389 x 1 + 379
Step 3: We consider the new divisor 389 and the new remainder 379, and apply the division lemma to get
389 = 379 x 1 + 10
We consider the new divisor 379 and the new remainder 10,and apply the division lemma to get
379 = 10 x 37 + 9
We consider the new divisor 10 and the new remainder 9,and apply the division lemma to get
10 = 9 x 1 + 1
We consider the new divisor 9 and the new remainder 1,and apply the division lemma to get
9 = 1 x 9 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 768 and 1157 is 1
Notice that 1 = HCF(9,1) = HCF(10,9) = HCF(379,10) = HCF(389,379) = HCF(768,389) = HCF(1157,768) .
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Frequently Asked Questions on HCF of 768, 1157 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 768, 1157?
Answer: HCF of 768, 1157 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 768, 1157 using Euclid's Algorithm?
Answer: For arbitrary numbers 768, 1157 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.