Highest Common Factor of 756, 466, 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 756, 466, 963 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 756, 466, 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 756, 466, 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 756, 466, 963 is 1.
HCF(756, 466, 963) = 1
HCF of 756, 466, 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 756, 466, 963 is 1.
Highest Common Factor of 756,466,963 is 1
Step 1: Since 756 > 466, we apply the division lemma to 756 and 466, to get
756 = 466 x 1 + 290
Step 2: Since the reminder 466 ≠ 0, we apply division lemma to 290 and 466, to get
466 = 290 x 1 + 176
Step 3: We consider the new divisor 290 and the new remainder 176, and apply the division lemma to get
290 = 176 x 1 + 114
We consider the new divisor 176 and the new remainder 114,and apply the division lemma to get
176 = 114 x 1 + 62
We consider the new divisor 114 and the new remainder 62,and apply the division lemma to get
114 = 62 x 1 + 52
We consider the new divisor 62 and the new remainder 52,and apply the division lemma to get
62 = 52 x 1 + 10
We consider the new divisor 52 and the new remainder 10,and apply the division lemma to get
52 = 10 x 5 + 2
We consider the new divisor 10 and the new remainder 2,and apply the division lemma to get
10 = 2 x 5 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 756 and 466 is 2
Notice that 2 = HCF(10,2) = HCF(52,10) = HCF(62,52) = HCF(114,62) = HCF(176,114) = HCF(290,176) = HCF(466,290) = HCF(756,466) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 963 > 2, we apply the division lemma to 963 and 2, to get
963 = 2 x 481 + 1
Step 2: Since the reminder 2 ≠ 0, we apply division lemma to 1 and 2, 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 2 and 963 is 1
Notice that 1 = HCF(2,1) = HCF(963,2) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 756, 466, 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 756, 466, 963?
Answer: HCF of 756, 466, 963 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 756, 466, 963 using Euclid's Algorithm?
Answer: For arbitrary numbers 756, 466, 963 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.