Highest Common Factor of 824, 966, 307 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 824, 966, 307 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 824, 966, 307 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 824, 966, 307 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 824, 966, 307 is 1.
HCF(824, 966, 307) = 1
HCF of 824, 966, 307 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 824, 966, 307 is 1.
Highest Common Factor of 824,966,307 is 1
Step 1: Since 966 > 824, we apply the division lemma to 966 and 824, to get
966 = 824 x 1 + 142
Step 2: Since the reminder 824 ≠ 0, we apply division lemma to 142 and 824, to get
824 = 142 x 5 + 114
Step 3: We consider the new divisor 142 and the new remainder 114, and apply the division lemma to get
142 = 114 x 1 + 28
We consider the new divisor 114 and the new remainder 28,and apply the division lemma to get
114 = 28 x 4 + 2
We consider the new divisor 28 and the new remainder 2,and apply the division lemma to get
28 = 2 x 14 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 2, the HCF of 824 and 966 is 2
Notice that 2 = HCF(28,2) = HCF(114,28) = HCF(142,114) = HCF(824,142) = HCF(966,824) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 307 > 2, we apply the division lemma to 307 and 2, to get
307 = 2 x 153 + 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 307 is 1
Notice that 1 = HCF(2,1) = HCF(307,2) .
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Frequently Asked Questions on HCF of 824, 966, 307 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 824, 966, 307?
Answer: HCF of 824, 966, 307 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 824, 966, 307 using Euclid's Algorithm?
Answer: For arbitrary numbers 824, 966, 307 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.