Highest Common Factor of 782, 966, 949 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 782, 966, 949 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 782, 966, 949 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 782, 966, 949 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 782, 966, 949 is 1.
HCF(782, 966, 949) = 1
HCF of 782, 966, 949 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 782, 966, 949 is 1.
Highest Common Factor of 782,966,949 is 1
Step 1: Since 966 > 782, we apply the division lemma to 966 and 782, to get
966 = 782 x 1 + 184
Step 2: Since the reminder 782 ≠ 0, we apply division lemma to 184 and 782, to get
782 = 184 x 4 + 46
Step 3: We consider the new divisor 184 and the new remainder 46, and apply the division lemma to get
184 = 46 x 4 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 46, the HCF of 782 and 966 is 46
Notice that 46 = HCF(184,46) = HCF(782,184) = HCF(966,782) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 949 > 46, we apply the division lemma to 949 and 46, to get
949 = 46 x 20 + 29
Step 2: Since the reminder 46 ≠ 0, we apply division lemma to 29 and 46, to get
46 = 29 x 1 + 17
Step 3: We consider the new divisor 29 and the new remainder 17, and apply the division lemma to get
29 = 17 x 1 + 12
We consider the new divisor 17 and the new remainder 12,and apply the division lemma to get
17 = 12 x 1 + 5
We consider the new divisor 12 and the new remainder 5,and apply the division lemma to get
12 = 5 x 2 + 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 46 and 949 is 1
Notice that 1 = HCF(2,1) = HCF(5,2) = HCF(12,5) = HCF(17,12) = HCF(29,17) = HCF(46,29) = HCF(949,46) .
HCF using Euclid's Algorithm Calculation Examples
Here are some samples of HCF using Euclid's Algorithm calculations.
Frequently Asked Questions on HCF of 782, 966, 949 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 782, 966, 949?
Answer: HCF of 782, 966, 949 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 782, 966, 949 using Euclid's Algorithm?
Answer: For arbitrary numbers 782, 966, 949 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.
