Highest Common Factor of 3712, 963 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 3712, 963 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 3712, 963 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 3712, 963 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 3712, 963 is 1.
HCF(3712, 963) = 1
HCF of 3712, 963 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 3712, 963 is 1.
Highest Common Factor of 3712,963 is 1
Step 1: Since 3712 > 963, we apply the division lemma to 3712 and 963, to get
3712 = 963 x 3 + 823
Step 2: Since the reminder 963 ≠ 0, we apply division lemma to 823 and 963, to get
963 = 823 x 1 + 140
Step 3: We consider the new divisor 823 and the new remainder 140, and apply the division lemma to get
823 = 140 x 5 + 123
We consider the new divisor 140 and the new remainder 123,and apply the division lemma to get
140 = 123 x 1 + 17
We consider the new divisor 123 and the new remainder 17,and apply the division lemma to get
123 = 17 x 7 + 4
We consider the new divisor 17 and the new remainder 4,and apply the division lemma to get
17 = 4 x 4 + 1
We consider the new divisor 4 and the new remainder 1,and apply the division lemma to get
4 = 1 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 3712 and 963 is 1
Notice that 1 = HCF(4,1) = HCF(17,4) = HCF(123,17) = HCF(140,123) = HCF(823,140) = HCF(963,823) = HCF(3712,963) .
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Frequently Asked Questions on HCF of 3712, 963 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 3712, 963?
Answer: HCF of 3712, 963 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 3712, 963 using Euclid's Algorithm?
Answer: For arbitrary numbers 3712, 963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.