Highest Common Factor of 959, 2312 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 959, 2312 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 959, 2312 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 959, 2312 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 959, 2312 is 1.
HCF(959, 2312) = 1
HCF of 959, 2312 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 959, 2312 is 1.
Highest Common Factor of 959,2312 is 1
Step 1: Since 2312 > 959, we apply the division lemma to 2312 and 959, to get
2312 = 959 x 2 + 394
Step 2: Since the reminder 959 ≠ 0, we apply division lemma to 394 and 959, to get
959 = 394 x 2 + 171
Step 3: We consider the new divisor 394 and the new remainder 171, and apply the division lemma to get
394 = 171 x 2 + 52
We consider the new divisor 171 and the new remainder 52,and apply the division lemma to get
171 = 52 x 3 + 15
We consider the new divisor 52 and the new remainder 15,and apply the division lemma to get
52 = 15 x 3 + 7
We consider the new divisor 15 and the new remainder 7,and apply the division lemma to get
15 = 7 x 2 + 1
We consider the new divisor 7 and the new remainder 1,and apply the division lemma to get
7 = 1 x 7 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 959 and 2312 is 1
Notice that 1 = HCF(7,1) = HCF(15,7) = HCF(52,15) = HCF(171,52) = HCF(394,171) = HCF(959,394) = HCF(2312,959) .
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Frequently Asked Questions on HCF of 959, 2312 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 959, 2312?
Answer: HCF of 959, 2312 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 959, 2312 using Euclid's Algorithm?
Answer: For arbitrary numbers 959, 2312 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
